Please find the equation of the line that goes through the point (5,-10) and (2,8)

Answers

Answer 1

Answer:

y = - 6x + 20

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

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

with (x₁, y₁ ) = (5, - 10 ) and (x₂, y₂ ) = (2, 8 )

m = \(\frac{8-(-10)}{2-5}\) = \(\frac{8+10}{-3}\) = \(\frac{18}{-3}\) = - 6 , then

y = - 6x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, 8 ) , then

8 = - 12 + c ⇒ c = 8 + 12 = 20

y = - 6x + 20 ← equation of line


Related Questions

what is the area of the parallelogram​

what is the area of the parallelogram

Answers

Answer: 143cm

Step-by-step explanation:

Area = base x height = 13x11 = 143

Answer: 143 square centimeters

Step-by-step explanation:

To find the area of the parallelogram, we can use the parallelogram area formula, A = b x h .

13 x 11 = 143

Since the area is the measure found, you follow the units (cm) with the squared symbol (²):

143 cm²

I hope this helps!

can someone help pls:)

can someone help pls:)

Answers

Answer:

c

Step-by-step explanation:

vectors u and v are shown in the graph.

what is -3(U x V)
348
46
355
-128

vectors u and v are shown in the graph.what is -3(U x V)34846355-128

Answers

The value of -3(U x V) is 366. None of the options is correct.

What is dot product?

A pair of vectors' dot product is the result of adding the products of each corresponding component. It is equal to their product of magnitudes times the cosine of the angle at which they are separated. The magnitude square of a vector is its dot product with itself.

The given vectors are U=-6i-10j and V = 7i + 8j.

The formula of dot product is

A = x₁i + y₁j and  B = x₂i + y₂j

A.B = x₁x₂ + y₁y₂.

Apply the formula:

U.V = (-6×7) + (-10×8)

=-42 - 80

= - 122

Now calculate -3(U . V):

-3(U . V) = -3×(- 122)

-3(U . V) = 366

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3/5 - 4 - x=0 i need hlp with this

Answers

The correct answer is x = 3/20

Draw a FSA that recognizes binary strings that two or more Os anywhere in the string.

Answers

The FSA can be defined as follows:

Q: set of states {q0, q1, q2, q3}

∑: set of input symbols {0, 1}

q0: initial state

F: set of final states {q1, q2, q3}

δ: transition function

δ(q0, 0) = q0

δ(q0, 1) = q1

δ(q1, 0) = q2

δ(q1, 1) = q1

δ(q2, 0) = q3

δ(q2, 1) = q1

δ(q3, 0) = q3

δ(q3, 1) = q3

The FSA (Finite State Automaton) that recognizes binary strings with two or more Os anywhere in the string can be constructed using four states: q0, q1, q2, and q3. The initial state is q0 and the set of final states is {q1, q2, q3}. At state q0, the machine reads input symbol 0 and remains in state q0, while reading input symbol 1 transition to state q1.

At state q1, the machine reads input symbol 0 and transitions to state q2, while reading input symbol 1 remains in state q1. At state q2, the machine reads input symbol 0 and transitions to state q3, while reading input symbol 1 transition to state q1.

At state q3, the machine reads either input symbol 0 or 1 and remains in state q3. If the machine reaches any of the final states, it accepts the input string.

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a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?

Answers

Answer:

20

Step-by-step explanation:

Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.

And 18+3... 21, that is smaller than 21.

If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.

a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the

3x + 2 y = 4
What is the answer

Answers

Answer:

You want to look for x? If yes then:

\(x=\frac{4}{3}-\frac{2y}{3}\)

And this is for y

\(y=2-\frac{3x}{2}\)

Je m'échauffe
1 QUESTIONS FLASH
Déterminer la moyenne, la médiane et l'éten-
due de chacune des séries :
2
a. série 1 : 4; 5; 12;
b. série 2: 0; 1; 2; 3;
c. série 3:3; 7; 9:11; 20;
d. série 4:2; 3; 4; 5; 6; 7.


Si quelqun pourrais m’aider sur les 3 question sa serais génial ! Silvouplais

Je m'chauffe1 QUESTIONS FLASHDterminer la moyenne, la mdiane et l'ten-due de chacune des sries :2a. srie

Answers

Answer:

yookiiii8bubub7bssh8ss

when you are completing pythagorean theorum are you solving for the area?

Answers

Answer:

no

Step-by-step explanation: you are solving for the lengths of the different sides of the triangle

WILL GIVE BRAINLIEST TO FIRST PERSON WHO IS CORRECT DO NOT DO THIS FOR POINTS PLS
A cylindrical can of vegetables has a label wrapped around the outside, touching end to end. The only parts of the can not covered by the label are the circular top and bottom of the can. If the area of the label is 100π square inches and the radius of the can is 5 inches, what is the height of the can?

25 inches
20 inches
10 inches
5 inches

Answers

Answer:

25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 inches

Calculate the sample standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Body Temperatures (in F) of adult males 98.2 97.8 99.2 98.1 96.4 96.4 98.9 97.5 97.1 98.0 96.5 98.2 96.5 96.6 98.4 96.9 97.0 96.4 99.2 97.6

Answers

On solving the provided question, we cans ay that by standard deviation, \(SE = 0.1590 (approx.)\)

What is standard deviation?

Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed. Standard deviation, or variance in a collection of values, is a measure of variation or variance in statistics. A low standard deviation suggests that the values are more likely to be close to the set's mean, whereas a large standard deviation suggests that the values are widely dispersed.

By sample standard deviation, we mean standard error. Hence, we have that:

Therefore, Standard deviation\(= 0.6929891\)

The sample size \((n) = 19.\)

Hence:

\(SE = 0.1589826.\\ SE = 0.1590 (approx.)\)

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What is the product of (3x - 4) and (3x - 4)

Answers

the factored expression would be (3x- 4)^2 and simplified would be 9x^2-24x+16

Answer:

\( {9x}^{2} - 24x + 6\)

Step-by-step explanation:

i explain in the photo :D

What is the product of (3x - 4) and (3x - 4)

Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29

Answers

Answer:

D. 29

Step-by-step explanation:

just did the test and got it correct. Edmentum, Plato.

What is the slope of any line that is perpendicular to the line 8x + 4y = 64?
A. 1 / 2
B. -2
C. – 1/2
D. 2

15 POINTS

Answers

Answer:

-2

Step-by-step explanation:

Find the value of x in this diagram.

Find the value of x in this diagram.

Answers

Answer:

x= 80 degrees

Step-by-step explanation:

50 +50 = 100,
180-100 = 80
80 degrees

if you add them together it makes 80 so i basically agree with the answer on top of me

i need some help!! plss

i need some help!! plss

Answers

Answer:

250

Step-by-step explanation:

100 sixth grade students prefer hip hop music divided by 40% (0.40) equals 250. There are 250 sixth grade students at the school.

100 is 40% of 250.

In a biology lab, 500 bacteria reproduce by splitting. Every hour, on the hour, each bacterium splits into two bacteria.

Answers

Answer:hour 1 500, hour 2 1000, hour 3 2000 , hour 4 4000

Step-by-step explanation:

After 1 hour 500 bacteria split into 500 bacteria.

After 2 hour 500 bacteria split into 1000 bacteria.

After 3 hour 500 bacteria split into 1500 bacteria.

After 4 hour 500 bacteria split into 2000 bacteria.

Given that,

In a biology lab, 500 bacteria reproduce by splitting.

Every hour, on the hour, each bacterium splits into two bacteria.

We have to find,

Find the number of bacteria after 4 hours.

According to the question,

Let us assume n = the number of bacteria at a given hour.

Total number of bacteria = 500

At the end of 1 hour each of the 500 bacteria after an hour is split in to 2 bacteria. So, at the end of 1 hour = n(1)  = 1 × 500 = 500 After 1 hour 500 bacteria split into 500 bacteria.

At the end of the 2 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(2)  = 2 x 500  = 1000 bacteria After 2 hour 500 bacteria split into 1000 bacteria.

At the end of the 3 hour, each of the 500 bacteria will split in to 2 more bacteria. So, n(3)  = 500 x 3  = 1500 bacteria After 3 hour 500 bacteria split into 1500 bacteria.

At the end of 4 hours, each of the 500 bacteria spilt into 2 more bacteria.

       So,  n(4)  = 4 × 500 = 2000 bacteria

       After 4 hour 500 bacteria split into 2000 bacteria.

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What is the slope of the line??

What is the slope of the line??

Answers

Answer:

The slope is -1/2

Step-by-step explanation:

slope is found by putting the rise over run, which is -2/4 or -1/2

what fraction times 30 equals 25

Answers

5/6 fraction times 30 equals 25.

We need to find what fraction times 30 equals 25.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Let the unknown fraction be x/y.

Now, x/y × 30 =25

⇒ x/y = 25/30

⇒ x/y = 5/6

Therefore, 5/6 fraction times 30 equals 25.

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HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!!

HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!! HELP!!!

Answers

The length of the rectangular plot is 125 feet.

How to find the side of a rectangle?

A rectangle is a quadrilateral with opposite sides equal to each other and opposite sides parallel to each other.

The rectangle has a right triangle in it. Therefore, using Pythagoras's theorem,

c² = a² + b²

where

c = hypotenusea and b are the other legs

Therefore,

l² = 325² - 300²

l = √105625 - 90000

l = √15625

l = 125 ft

Therefore,

length of the rectangular plot = 125 feet

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A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
y+ 2 = } (x - 5)
A.
B.
y-5= (x + 2)
O C. y= {x +
3
o
D.
y+5 = (– 2)

Answers

y-5=m(x+2) is the answer in point slope form

Answer:

it actually y=1/3x+17/3

Step-by-step explanation:

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 1/3. So you can right away fill in the equation for a line somewhat to read:

y=1/3x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-2,5). When x of the line is -2, y of the line must be 5.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-2,5).

So, why not plug in for x the number -2 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-2,5). y=mx+b or 5=1/3 × -2+b, or solving for b: b=5-(1/3)(-2). b=17/3.

The equation of the line that passes through the point (-2,5) with a slope of 1/3

is

y=1/3x+17/3

There's your explanation

Which is greater, the circumference of a circle with radius 3 ft, or the distance around a semicircle with diameter 16 ft? by how much?.

Answers

The circumference of a circle with a radius of 3 ft is greater than the distance around a semicircle with a diameter of 16 ft by approximately 2.84 ft.

The circumference of a circle is calculated using the formula C = 2πr, where r is the radius. For the given circle with a radius of 3 ft, the circumference would be C = 2π(3) = 6π ft.

The distance around a semicircle is calculated by finding half the circumference of the corresponding full circle. In this case, the diameter of the semicircle is 16 ft, which means the corresponding full circle has a radius of 8 ft. The circumference of the full circle is C = 2π(8) = 16π ft. Therefore, the distance around the semicircle is half of that, which is 8π ft.

Comparing the two values, 6π ft is greater than 8π ft by approximately 2.84 ft. Hence, the circumference of the circle with radius 3 ft is greater than the distance around the semicircle with a diameter of 16 ft by approximately 2.84 ft.


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HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false

HEY GUYS PLEASE HELP JUST LABEL THEM 1 2 3 and tell me true or false

Answers

1) true ?
2) false
3) true

Spencer spent 10 minutes on the phone while routing 5 phone calls. If he routes 28 phone calls, how much time will Spencer have spent on the phone in total? Solve using unit rates.

Answers

Spencer will have spent 56 minutes on the phone in total while routing 28 phone calls.

If Spencer spent 10 minutes while routing 5 phone calls, the unit rate of time spent on the phone per phone call is;

10 minutes ÷ 5 phone calls = 2 minutes/phone call

Therefore, the unit rate tells us that Spencer spent an average of 2 minutes on the phone for each of the 5 phone calls he routed.

To find how much time Spencer will spend on the phone in total while routing 28 phone calls, we can use the unit rate as a conversion factor;

Total time on the phone = (Number of phone calls) x (Time per phone call)

Total time on the phone = 28 phone calls x (2 minutes/phone call)

Total time on the phone = 56 minutes

Therefore, Spencer will have spent 56 minutes on the phone.

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question in pic below ;))))

question in pic below ;))))

Answers

Answer:

The first table

Step-by-step explanation:

If you create a fraction x/y, you will see all of the answers reduce down to -1/4. The other tables don't reduce to the same values.

Q1. Which of the following are well-defined sets?
(a) All the colors in the rainbow.

(b) All the points that lie on a straight line.

(c) All the honest members in the family.

(d) All the consonants of the English alphabet.

(e) All the tall boys of the school.

(f) All the efficient doctors of the hospital.

(g) All the hardworking teachers in a school.

(h) All the prime numbers less than 100.

(i) All the letters in the word GEOMETRY.

Answers

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

Which of the following
numbers can be rewritten as
a fraction?
5.8, 4.5 √36, 9.2, √20

Answers

Answer:

5.8 = \(5\frac{4}{5}\)

4.5 = \(4\frac{1}{2}\)

9.2 = \(9\frac{1}{5}\)

the sum of three consecutive integers is three times the second integer. show that this is true for the three consecutive integers 7,8 and 9

Answers

Step-by-step explanation:

7+8+9=24

second integer is 8 so 8*3=24

Find the value of the expression (2x − 12) + (xy-10) for x = 8 and y = 2.
-
O-8
O 6
O-10
02

Find the value of the expression (2x 12) + (xy-10) for x = 8 and y = 2.-O-8O 6O-1002

Answers

The value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.

According to the question,

We have the following expression:

(2x − 12) + (1/2xy-10)

Now, the values of x and y are given to be 8 and 2 respectively.

So, we will put these values of x and y in the given expression:

(2*8-12)+(1/2*8*2-10)

First, we will use multiplication:

(16-12)+(8-10)

4+(-2)

(Note that when two integers are of different signs then the integers are subtracted but the sign in the result is of the larger integer.)

4-2

2

Hence, the value of the expression, (2x − 12) + (1/2xy-10), for x = 8 and y = 2 will be 2.

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how many solutions are there to square root x =9

Answers

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

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