The point (3,-1) is on the line by which equation below?

The Point (3,-1) Is On The Line By Which Equation Below?

Answers

Answer 1

Answer:

D. y = x - 4

Step-by-step explanation:

Given the following data;

Points (x, y) = (3, -1)

To find the equation of line;

First of all, we would determine the slope of the graph.

Mathematically, slope is given by the formula;

\( Slope = \frac{Change \; in \; y \; axis}{Change \; in \; x \; axis} \)

\( Slope, m = \frac {y_{2} - y_{1}}{x_{2} - x_{1}} \)

Substituting into the equation, we have;

\( Slope, m = \frac {5 - 5}{5 - 5} \)

Slope, m = 1

Generally, the equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

Using points (x, y) = (3, -1)

-1 = 1*3 + c

-1 = 3 + c

c = -1 - 3

Intercept, c = -4

Therefore, the equation of line becomes;

y = x - 4.


Related Questions

Can anybody help me on the question.

ASAP

Can anybody help me on the question.ASAP

Answers

The hanger in the illustration will have the value x = 6, and it will remain balanced.

Define equations?

Mathematical expressions with two algebraic expressions on either side of the equals (=) sign are called equations. It demonstrates the equality of the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in each mathematical equation. To determine the value of an unknown variable that stands in for an unknown quantity, equations can be solved.

Here's the query,

Considering the graph,

The hanger's equation is as follows:

4x= 24

There are 4 numbers here that represent the value of the hanger.

So, x+x+x+x will be 24.

The equation is thus:

4x = 24.

Now, by resolving the equation, we can determine the value of x that balances the hanger:

4x = 24.

When you divide 4 on both sides:

x = 24/4

x = 6.

As a result, the hanger will remain in equilibrium for x = 6.

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A fish tank holds 175 gallons of water. Tom is emptying the tank and
removes 25 gallons per hour. Write an equation to model the situation,
where x represents time in hours and y represents the number of gallons
of water in the fish tank.

Answers

Y= -25x+ 175 or y= 175 -25x I because 175 is the initial amount of water and since you are REMOVING 25 PER hour it would be -25x

How many times larger is 9 x 10^4 than 3 x 10^2?

Answers

Answer: \(300\) \(times\)

Step-by-step explanation:

Match the type of graph with its description.

Match the type of graph with its description.

Answers

Answer:

1) Compares data that are in categories

2) Organises data into 4 groups of equal sizes and is often used to compare two sets of data.

3) Used to see trends in data.

4) Shows changes over time.

5) Shows the frequency of data using equal intervals with no space between the bars.

Step-by-step explanation:

1) Bar graph is used to compare data that are in categories

2) Box and whisker plot is used to organise data into 4 groups of equal size.

3) Line graph is basically used to see different trends.

4) Scatter plot is used to show changes that have occurred over time

5) Histogram is used to show the frequency of data using equal intervals with no space between the bars.

Solve for x.
3(x + 2) + 4(x - 5) = 10

Answers

Step-by-step explanation:

3x+6+4x-20=10

7x-14=10

7x=24

x=24/7

Answer:

x=3.43

Step-by-step explanation:

3(x-2)+4(x-5)=10

3x+6+4x-20=10

7x-14=10

7x=24

x=24/7

24/7=3.428571428571429(round to nearest hundredths)

x=3.43

Find the output, y, when the input, x, is -9.
y =

Find the output, y, when the input, x, is -9.y =

Answers

Answer:

when x=-9, y=1

Step-by-step explanation:

the graph shows when the x is at -9, the y is at 1

Find the output, y, when the input, x, is -9.y =

Explain the difference between an indefinite integral and a definite integral.
A) An indefinite​ integral, after evaluating it at the limits of​ integration, results in a particular number. A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
B) A definite​ integral, after evaluating it at the limits of​ integration, results in a particular number. An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration.
C) An indefinte integral cannot always be integrated analytically and may require numeric​ integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration.
D) A definite integral is defined and continuous over the interval of integration and has finite limits of integration. An indefinite integral is also defined and continuous over the interval of​ integration, but may have as a limit of integration.

Answers

The answer is A.

An indefinite integral is a function that, when differentiated, equals the original function. It is denoted by ∫f(x)dx, where f(x) is the function to be integrated. An indefinite integral always has an arbitrary constant of integration, which is denoted by C. This is because the derivative of any constant is zero, so the derivative of ∫f(x)dx+C is still equal to f(x).

A definite integral is the limit of a Riemann sum as the number of terms tends to infinity. It is denoted by ∫

a

b

f(x)dx, where a and b are the limits of integration. A definite integral does not have an arbitrary constant of integration, because the limits of integration specify a unique value for the integral.

In other words, an indefinite integral is a family of functions that share the same derivative, while a definite integral is a single number.

x^2+12x−7=(x+p)^2−q. find the value of p and the value of q​

Answers

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

The triangles below are similar.
Which similarity statement expresses the relationship between the two triangles?
FGH~KLJ
FGH=KLJ
FGH~JKL
FGH=JKL

The triangles below are similar.Which similarity statement expresses the relationship between the two

Answers

Answer:

Option (1)

Step-by-step explanation:

Triangles given are the similar triangles.

In the given triangles ΔFGH and ΔKLJ,

m∠G = m∠L = 65°

m∠H = m∠J = 24°

m∠F = m∠K = 91°

Since all three interior angles are equal in measure,

Therefore, ΔFGH and ΔKLJ are similar.

ΔFGH ~ ΔKLJ

Option (1) is the correct option.

Answer:

A. FGH ~ KLJ

Step-by-step explanation:

I took the test.

50 Points! Multiple choice geometry question. Photo attached. Thank you!

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answers

5/6 is the probability that the number landed on an odd or is greater than 4

Probability concept

Probability is defined as the likelihood or chance that an event will occur.

If a number cube is rolled, the sample space will be:

(S) = {1, 2, 3, 4, 5, 6}

n(S) = 67

If it lands on a odd number, the number of events will be:

(E) = {1, 3, 5}

n(E) = 3

If it lands on a number greater than 4 the number of events will be:

(E) = {5, 6}

n(E) = 2

Pr(even or greater then 4) = 3/6 + 2/6

Pr(even or greater then 4) = 5/6

The probability that the number landed on an odd or is greater than 4 is 5/6

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Answer: 4/6 or 2/3

Step-by-step explanation:

Even number=3/6 or 1/2 chance

Greater than 4=2/6 chance or 1/3 chance

Union basically means either or

So: 1/2+1/3 or 3/6+2/6 or 5/6

This doesn't always work though, so we use trial and error

1 2 3 4 5 6

1 3 5 are the ones not even

13 are the ones not greater than 4

solve for h

can someone please answer and explain thank you <33

solve for hcan someone please answer and explain thank you &lt;33

Answers

Answer: \(h=\frac{2A}{(a+b)}\)

Step-by-step explanation:

To solve for h, we want to get h alone. We need to use our algebraic properties.

\(A=\frac{1}{2} h(a+b)\)                             [multiply both sides by 2]

\(2A=h(a+b)\)                              [divide both sides by (a+b)]

\(h=\frac{2A}{(a+b)}\)

Now that we have h alone, we know that \(h=\frac{2A}{(a+b)}\).

Which equation can be used to determine the distance between the origin and (–2, –4)? d = StartRoot ((0 minus 2) + (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared + (0 minus (negative 4)) squared EndRoot d = StartRoot ((0 minus 2) minus (0 minus 4)) squared EndRoot d = StartRoot (0 minus (negative 2)) squared minus (0 minus (negative 4)) squared EndRoot

Answers

Answer:person up top is right it’s B

Step-by-step explanation: on edg 2020

Answer:

The answer is B

Step-by-step explanation:

lol yw guys

This Venn diagram shows sports played by 10 students.
Karl
Jada
Gabby
PLAYS
BASKETBALL
O A=0.50
OB. 0.29
OC. =0.40
D.
=0.20
Fran
Juan
lan
Ella
Let event A = The student plays basketball.
Let event B = The student plays soccer.
What is P(AB)?
PLAYS
SOCCER
Mickey
Mai
Marcus

Answers

The conditional probability for this problem is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

How to calculate a probability?

The parameters that are needed to calculate a probability are listed as follows:

Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For this problem, we have that 5 students play soccer, and of those, 2 play basketball, hence the conditional probability is given as follows:

C. P(A|B) = 2/5 = 0.4 = 40%.

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This Venn diagram shows sports played by 10 students.KarlJadaGabbyPLAYSBASKETBALLO A=0.50OB. 0.29OC.

Find the first 8 multiples of 92

Answers

Answer:

92, 184, 276, 368, 460, 552, 644, 736, 828, 920

Step-by-step explanation:

hope this helps :D

brainliest appreciated

PLEASEEEE HURRYY
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area. The map scale is 1 inch = 3.5 miles. From Garland to Mansfield is 52.5 miles. How far apart are these two cities on the map?

Answers

Answer:

The distance between Garland and Mansfield on the map is 15 inches.

Step-by-step explanation:

On Giana's map of Texas, the scale is 1 inch = 3.5 miles. To determine the distance between Garland and Mansfield on the map, we can use the scale to find the corresponding measurement. Given that the actual distance between these two cities is 52.5 miles, we can set up a proportion:

1 inch / 3.5 miles = x inches / 52.5 miles

Cross-multiplying, we have:

3.5 miles * x inches = 1 inch * 52.5 miles

3.5x = 52.5

Dividing both sides by 3.5, we find:

x = 15

Therefore, the distance between Garland and Mansfield on the map is 15 inches.

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A local charity collected 163 cans of food
every day for 14 days. How many did they
collect in the first 10 days? How many did
they collect in the remaining 4 days? How
many cans did they collect in all? Solve this
problem any way you choose,

Answers

How to do this:
163 x 10 to find how many they collected in 10 days, which is 1630.
And in the remaining four days you would do
163 x 4 which is 652.
And in order to find the total amount of cans they collected it is
1630 + 652 which is 2282.

What is the gradient of the blue line

What is the gradient of the blue line

Answers

Answer:

Up 2 to the right 1

Step-by-step explanation:

that would be i think

(3 x 8) x 4 = 3 x (O)

Answers

Answer:

(O)=32 us the answer to the question.

Is an integer less than its opposite

Answers

Answer:

An integer can be negative or positive, so if the integer is, let's say, -6. The opposite, or absolute value, of -6, is 6. So in this case, the opposite has more value than the actual integer. Does that answer the question? :D

Answer:

No

Step-by-step explanation:

I am assuming the "opposite" is its reciprocal

If an integer is negative ex: -2, then its reciprocal: -1/2 is larger.

Find the exact value of sin A in simplest radical form. ​

Find the exact value of sin A in simplest radical form.

Answers

Answer:

✓10/10

Step-by-step explanation:

sinA = 1/✓10

Rationalize the denominator by multiplying by ✓10:

sinA = 1✓10/✓10✓10

sinA = ✓10/10

Elements that do not belong to a set belong to its

Answers

Answer:

What do you mean for this question?

Step-by-step explanation:

Give specific details

Aaron works at a furniture store. He sells a table that normally costs $670 but is on sale
for 15% off. If he makes 8% commission on
the sale price, how much will he make in
commission?

Answers


Answer :$45.56




Self explanation:

Evaluate log4 exponent 0.5

Answers

We can claim that after answering the above question, the So, logarithm \(log4 (0.5^(1/2)) =-0.0752\)

what is logarithm?

The logarithm is a power's reciprocal in mathematics. Accordingly, the exponent by which b must be raised to obtain a number x equals the logarithm of that number in base b. For instance, since 1000 = 103, its base-10 logarithm is 3, or log10 = 3. As an illustration, the base 10 logarithm of 10 is 2, while the square of 10 is 100. Log 100 = 2. To answer a question like, For example, how many times must a base of 10 be multiplied by itself to achieve 1,000, a logarithm (or log) is the mathematical term utilized. The solution is 3 (1,000 = 10 10 10).

Using the following property of logarithms:

\(log_a (b^c) = c * log_a (b)\\log4 (0.5^(1/2))\\(1/2) * log4 (0.5)\\log4 (0.5) = log (0.5) / log (4)\\log (0.5) ≈ -0.3010\\log (4) = 2\)

Therefore,

\(log4 (0.5) ≈ -0.3010 / 2 ≈ -0.1505\\(1/2) * log4 (0.5) ≈ (1/2) * (-0.1505) ≈ -0.0752\\\)

So, \(log4 (0.5^(1/2)) =-0.0752\)

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It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for diabetes will correctly diagnose 98% of all adults over with diabetes as having the disease and incorrectly diagnoses 3.5% of all adults over without diabetes as having the disease.

a) Find the probability that a randomly selected adult over does not have diabetes, and is diagnosed as having diabetes (such diagnoses are called "false positives").
b) Find the probability that a randomly selected adult of is diagnosed as not having diabetes.
c) Find the probability that a randomly selected adult over actually has diabetes, given that he/she is diagnosed as not having diabetes

Answers

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which the parameters are described as follows:

P(B|A) is the probability of event B happening, given that event A happened.\(P(A \cap B)\) is the probability of both events A and B happening.P(A) is the probability of event A happening.

For item a, we have that:

100 - 8.23 = 91.77% of the people do not have diabetes.Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

96.5% of 91.77% (do not have diabetes).2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

\(P(A \cap B) = 0.02 \times 0.0823 = 0.001646\)

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

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how to convert 90% to a decimal point

Answers

Answer:

0.90

Step-by-step explanation:

Just like a decimal to a percentage number, you must multiply by 100. By converting a percentage number to a decimal point, you must divide it by 100. Which means, the decimal must move 2 times.

For example,

0.90 x 100 = 90%

This is decimal to percentage number, but in this case it is percentage to decimal.

90%.

Since the number ended at 0, put the decimal there and move it 2 times to get to your decimal point.

.90 = 0.90

There you'll get your answer! ^^

90% = 0.90

Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle

Answers

the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

Given: The hypotenuse of the right triangle,

c = 159 ft; angle A = 34°

We know that, in a right-angled triangle:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$\)

We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:

\($$\sin\theta=\frac{\text{opposite}}\)

\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)

\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)

\({\text{adjacent}}$$\) Length of side a is:

\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)

Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:

\($$\text{Area} = \frac{1}{2}ab$$\)

Putting the values of a and b:

\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)

Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.

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Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.

Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?

(A) |--20 – 12

(B) |--20 + 12

(C) 20 – 12

(D) -20 + 12

Answers

Answer: B

Step-by-step explanation:

The Weaver family went to dinner and spent $52.75. They had great service so they tipped the server 22%. What was the Weaver's total bill?

Answers

To find the total amount that the Weaver family spent on their dinner, you need to add the tip to the original bill. To calculate the tip, you need to multiply the cost of the dinner by the percentage of the tip: $52.75 × 22% = $11.61.

Then, you can add the tip to the original bill to find the total cost of the dinner: $52.75 + $11.61 = $64.36.

Therefore, the Weaver family's total bill for their dinner was $64.36.

Simplify show step by step 30 POINTS!

Simplify show step by step 30 POINTS!

Answers

Step-by-step explanation:

hopefully it makes sense and is visible

:)

Simplify show step by step 30 POINTS!

Analyze the diagram below and complete the instructions that follow.
8
45°
Find the value of x.
A. 4
B. 8√√2
2
C. 4√2
DG
45°
Save and Exit
Next
Subr

Analyze the diagram below and complete the instructions that follow.845Find the value of x.A. 4B. 822C.

Answers

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

Other Questions
Slope : 3/1 through (3,-1) You are a NASA engineer. You are the chief engineer for the Apollo 13 mission to the moon. The astronauts are running out of oxygen and need to get rid of the excess carbon dioxide. You know that sodium hydroxide has been suggested as a means of removing carbon dioxide from the spacecraft cabin. The filter which they had been using is fully saturated and no longer works. You remember that the astronauts have a 5 kg container of sodium hydroxide on the ship. You also know that sodium hydroxide can be used to remove carbon dioxide according to the following reaction:NaOH + CO2 Na2CO3 + H2OThe astronauts have 2 days left before they land on earth. You know that there are three astronauts, and each astronaut emits roughly 500 g of carbon dioxide each day. Is there enough sodium hydroxide in the cabin to cleanse the cabin air of the carbon dioxide, or are the astronauts doomed?Again be sure to show all your work!This is the answer, but I need the working on how to solve it:5,450 grams The astronauts die residents of a building who learn that the building they live in might be converted to condominiums have the opportunity to read about the conversion in what do nonchalant mean 11. Before 1993 and the installation of the Mid-Levels escalators, walk- ing up the hill was much more painful than walking down. This is translated by the following assumptions: 1(x) = tx and 2(1 x) = (t + )(1 x) with t, > 0. Based on your reasoning about the prices charged by the two shops, which of the following statement is TRUE? A. The equilibrium quantity of Won-Ton will be smaller than that of Too-Chow.B. The equilibrium price of Won-Ton will be higher than that of Too- Chow.C. The equilibrium profit of Won-ton will be smaller than that of Too- Chow.D. None of the above. The pOH of an aqueous solution of 0.522 M acetylsalicylic acid (aspirin), HC9H7O4, is _______The hydroxide ion concentration of an aqueous solution of 0.522 M hypochlorous acid is ______[OH^-]= _____M Let f(x)=2x+4/37x a) Express x as a function of y. b) Use your answer to part (a) to find the range of f(x). What was the song "Bye, Bye Miss American Pie" really about? What has it come to signify? How does the development of ancient China under the Shang dynasty compare with that of ancient Egypt?COME ON I NEED HELP!!!!! I HAVE BEEN STUCK WITH THIS QUESTON! A flywheel rim which weighs 894 pounds has a mean diameter of 50 inches. The speed is to be maintained between 100 and 130 rpm. Calculate capacity of the flywheel in ft-lbf. Assume density of rim material as 7250 kg/m3. (Hint: Be careful of units and divide the answer by g=32.2 ft/s2 to obtain ft-lbf) in 1829, australia was divided almost exactly in two: between western australia and what other colony? james and jen work for a big box company. the chain's owner is a fundamentalist christian. he requires stores enforce rules which include forbidding adultery between sales staff members. jen and james run afoul of this while james's divorce is pending. when this becomes known to others both are fired. do jen and james have a wrongful discharge claim against the company? if they are unaware of the rule against adultery would your answer be any different? assume that you manage a $10.00 million mutual fund that has a beta of 1.05 and a 9.50% required return. the risk-free rate is 2.20%. you now receive another $11.50 million, which you invest in stocks with an average beta of 0.65. what is the required rate of return on the new portfolio? draw (3r,4s)-3,4-dimethylhexane. use wedges and dashes to show stereochemistry. If rutherford had fired neutral particles at the gold foil rather than positively charged alpha particles, how would his results have been different? what comes up but never goes down? whenever gueses right will be mark braonliestt Of the reactions below, which one is not a combination reaction? A) 2Mg + O2 -->2MgO B) 2CH4 + 4O2-->2CO2+ 4H2O C+O2-->CO2 D) CaO +H2O --> Ca(OH)2 E) 2N2 + 3H2-->2NH3 Rodrigo tiene 3 listones de madera: el primer listn es 0,75 cm ms largo que el segundo; el segundo listn mide 22,25 cm; y el tercero es 6,5 cm ms corto que el primer listn. Cul es la longitud del tercer listn de madera? The beginning ofis ________through observation and modeling.A. classical conditioningB. social learningC. operant conditioningD. progressive learning Why is glycolysis described as having an investment phase and a payoff phase?It uses stored ATP and then forms a net increase in ATP.It attaches and detaches phosphate groups.It both splits molecules and assembles molecules.It shifts molecules from cytosol to mitochondrion.It uses glucose and generates pyruvate.