what's the distance between (2,10) and (-6,6)

Answer:

Step-by-step explanation:

formulas you need to know off the top of your head.

P = 2*L + 2*W

A= L*W

plug in what we are given

96 = 2*L + 2*W

407 = L*W

we are also given this.

L =3*W+4

There are two methods for solving this,  the substitution method or the elimination method.  Both work well,  and it's more of an choice of which method you prefer.

In our given problem,  elimination method on the top two equations would get rid of both the L and the W, so let's go for the substitution method.

let's substitute in L , from the 3rd equation into L of the 1st equation

96 = 2(3*W+4 ) +2W

96 = 6W +8 +2W

96 -8 = 8W

88 = 8W

11 =W

Nice !  now we've got W

use the 2nd equation with our found value for W

407 = L * 11

37 = L

nice now we have both dimensions :)

Answer:

--------------------------------

Use perimeter formula

Substitute L = 3W  + 4

Find L

9514 1404 393

Answer:

  (2, -5)

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate:

  (x, y) ⇒ (x, -y)

  K(2, 5) ⇒ K'(2, -5)

The location of K' is (2, -5).

Answer:

8.5 m

Step-by-step explanation:

the volume of a cube is calculated via

length of side ³

620 = side length³

side length = 8.5 m

Answer: ASA

Step-by-step explanation:

If D be a region bounded by a simple closed path C in the xy-plane, then the centroid of the quarter circle is  (4a/3π , 4a/3π)   .

In the question ,

it is given that D is the region bounded by a simple closed path C in the xy-plane .

the radius of the circle is = "a" ,

let the equation of the circle be x² + y² = a² ,

So , the area of the quarter circle is (A)  = (1/4)*πa²

The coordinate of the centroid x will be :

x = \(\frac{1}{2A} \int\limits x^{2} dy\)

x = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -y^{2} } \, dy\)

Simplifying further ,

we get ,

x = 2/πa² [{a²(a) - a³/3} - 0 ]

x = 2/πa² [a³ - a³/3 ]

x = 4a/3π

The coordinate of the centroid y will be :

y = \(\frac{1}{2A} \int\limits y^{2} dx\)

y = \(\frac{1}{2(\frac{\pi a^{2} }{4})} \int\limits^a_0 {a^{2} -x^{2} } \, dx\)

Simplifying further ,

we get ,

y = 2/πa² [{a²(a) - a³/3} - 0 ]

y = 2/πa² [a³ - a³/3 ]

y = 4a/3π

Therefore , the coordinates of the centroid is (4a/3π , 4a/3π) .

The given question is incomplete , the complete question is

Let D be a region bounded by a simple closed path C in the xy-plane. The coordinates of the centroid x, y of D are x = \(\frac{1}{2A} \int\limits x^{2} dy\)  ,  y = \(\frac{1}{2A} \int\limits y^{2} dx\) ?  

Find the centroid of a quarter-circular region of radius a.

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Answer:

4.72 in.

Step-by-step explanation:

BC = 3.1 in.

CD = 7.2 in.

Altitude of right triangle altitude is given as \( h = \sqrt{xy} \), where:

h = altitude

x = 3.1 in.

y = 7.2 in.

Plug in the values into the formula

\( h = \sqrt{3.1*7.2} \)

\( h = \sqrt{22.32} \)

\( h = 4.72 in. \) (nearest hundred)

Answer:

4.72

Step-by-step explanation:

I took the test.

The linear function that models the puppy's growth is written as: y = 3x + 3.

The values we need to find before we can write he linear function that models a situation, are:

The linear function would be expressed as y = mx + b, which is in the slope-intercept form.

The table of the puppy's growth that Shayla is tracking is shown below. Using two points on the table, say, (0, 3) and (1, 6):

Slope (m) = change in y / change in x = (6 - 3)/(1 - 0)

Slope (m) = 3/1 = 3

Substitute m = 3 and (0, 3) into y = mx + b to find b:

3 = 3(0) + b

3 = 0 + b

3 = b

b = 3

To write the linear function, substitute m = 3 and b = 3 into the equation, y = mx + b:

y = 3x + 3

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Answer: A

Step-by-step explanation: FLVS question the answer is A

Answer:

The answer would be x = -1 and y = 3

Step-by-step explanation:

Work is as shown:

1) -8x - y = 5

   y = x + 4

2) -8x - (x+4) = 5

3) -8x -x = 9

4) -9x/-9 = 9/-9

5) y = -1 + 4 = 3

If there are any questions or if i didn't answer the question reply with the question please.

Answer:

6.30

Step-by-step explanation:

Answer:

Exponential growth formula. a represents the initial value.

Step-by-step explanation:

The value of "b" will determine the growth or decay behavior of the exponential function.

An exponential function can be represented in the form:

f(x) = a * b^x

where "a" is the initial value or the value of the function when x = 0, and "b" is the base of the exponential function.

If we want an exponential function with an initial value of 2, we can set "a" equal to 2:

f(x) = 2 * b^x

The value of "b" will determine the growth or decay behavior of the exponential function. Without further information or constraints on the value of "b," we cannot determine the specific exponential function. Additional information, such as the growth/decay factor or a specific point on the function, is needed to determine the value of "b" and fully define the exponential function.

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For Fund T: Expected Return = 11.32% For Fund U: Expected Return = 8.94%,,For Fund T:Expected return (11.32%) > Our forecasted return (8%) .

Thus, Fund T is priced below the SML and is undervalued. For Fund U Expected return (8.94%) < Our forecasted return (10%) Thus, Fund U is priced above the SML and is overvalued and  Fund T is undervalued and Fund U is overvalued.

a. To calculate the expected return for each mutual fund according to the CAPM, we can use the following formula:

Expected Return = Risk-free rate + (Market Risk Premium × Beta)

For Fund T:

Expected Return = 3.9% + (6.1% × 1.20) = 11.32%

For Fund U:

Expected Return = 3.9% + (6.1% × 0.80) = 8.94%

b. To determine whether Fund T and Fund U are currently priced to fall directly on the security market line (SML), above the SML, or below the SML, we need to compare their expected returns with our own return forecasts. Let's assume that we have forecasted returns of 8% for Fund T and 10% for Fund U.

If the expected return for a mutual fund is higher than our own return forecast, it is considered to be priced below the SML and thus undervalued. Conversely, if the expected return is lower than our own forecast, the mutual fund is considered to be priced above the SML and therefore overvalued. If the expected return and our own forecast are the same, the mutual fund is priced directly on the SML and is considered to be properly valued.

Using the CAPM expected returns calculated in part (a), we can compare with our own return forecasts:

For Fund T:

Expected return (11.32%) > Our forecasted return (8%)

Thus, Fund T is priced below the SML and is undervalued.

For Fund U:

Expected return (8.94%) < Our forecasted return (10%)

Thus, Fund U is priced above the SML and is overvalued.

c. Based on our analysis, Fund T is undervalued and Fund U is overvalued. This suggests that investors should consider buying Fund T, as it is expected to provide higher returns than the market return, while Fund U may not provide sufficient returns to compensate for the higher risk. However, it is important to note that other factors such as fund expenses, management quality, and investment strategy should also be considered when making investment decisions.

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The preceding help understand why the study doesn't really support such a conclusion: the sample size was too small.

The assumption is approximate \(\hat{P}\) by a normal distribution will be:

→ \(np = 25\times 0.36\)

       \(=9\)

→ \(n (1-p) = 25\times (1-0.36)\)

                \(= 25\times 0.64\)

                \(= 16\)

The above assumption is not satisfied. Thus the above answer i.e., "option A" is the appropriate one.

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Answer:

(1, -1)​

Explanation:

One of the coordinates of the image = (5,-3)

If the object is translated by (x +4, y-2)

Then, the corresponding coordinates on the pre-image will be gotten by the translation:

Therefore, the coordinates are:

The correct choice is D.

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

The answer is letter A.

-7+3(-4e-3)

−7+3((−4)(2.718282)−3)

=−48.619382

-4(3e+4)

−4((3)(2.718282)+4)

=(−4)((3)(2.718282)+4)

=(−4)((3)(2.718282))+(−4)(4)

=−32.619382−16

=−48.619382

Answer:

Step-by-step explanation:

y=2(x-8)(x+2)

The x intercepts occur when y=0, so when x=8 and -2

The vertex is where the equation is at a minimum/maximum in this case (x,y)=(3,-50)

The axis of symmetry occurs between the two roots, 8 and -2 which x=3

The y intercept is the value of y when x=0, in this case (0, -32)

So it will take 40 minutes to fill the cistern when all three pipes are opened together.

What is fraction ?

A fraction is a mathematical expression that represents a part of a whole. It consists of two numbers, called the numerator and the denominator, separated by a horizontal or diagonal line.

So it will take 40 minutes to fill the cistern when all three pipes are opened together.

Let's assume that the capacity of the cistern is 1 unit (this assumption doesn't affect the solution).

Pipe A can fill the cistern in 20 minutes, which means it can fill 1/20 of the cistern in 1 minute.

Pipe B can fill the cistern in 30 minutes, which means it can fill 1/30 of the cistern in 1 minute.

Pipe C can empty the cistern in 40 minutes, which means it can empty 1/40 of the cistern in 1 minute.

When all three pipes are opened together, the net flow rate of water into the cistern is:

1/20 + 1/30 - 1/40 = 1/40

This means that the cistern will fill up at a rate of 1/40 of its capacity per minute.

Therefore, to fill the entire cistern, it will take:

1 / (1/40) = 40 minutes

Therefore, So it will take 40 minutes to fill the cistern when all three pipes are opened together.

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Answer:

If f(x) = x2 – 5 for all values x and f(a) = 4, what is one possible value of a? Possible Answers: ... If f(x) = x2 + 5x and g(x) = 2, what is f(g(4))?. Possible ... (1/3) * (27 + 15 – 15). (1/3) * (27)

The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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The answer of the given question based on finding the missing length of a triangle the answer is , None of the answer choices match this value exactly, but the closest one is D) 15. Therefore, the answer is D) 15.

In geometry,  triangle is  two-dimensional polygon with three straight sides and three angles. It is one of  basic shapes in geometry and can be defined as  closed figure with three line segments as its sides, where each side is connected to two endpoints called vertices. The sum of  interior angles of  triangle are 180° degrees.

Triangles are classified based on length of their sides and  measure of their angles. A triangle can be equilateral, isosceles, or scalene based on whether all sides are equal, two sides are equal, or all sides are different, respectively.

To find the missing length indicated, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs (the sides adjacent to the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

In this triangle, we can see that the two legs have lengths of 9 and 16, and the hypotenuse has length X. So we can write:

9²+ 16² = X²

Simplifying the left-hand side:

81 + 256 = X²

337 = X²

Taking the square root of both sides (and remembering that X must be positive, since it is a length):

X = sqrt(337)

X ≈ 18.3575

So the missing length indicated is approximately 18.3575. None of the answer choices match this value exactly, but the closest one is D) 15. Therefore, the answer is D) 15.

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The missing term in the second pair is YUL.

To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.

If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:

T + 1 = U

X + 1 = Y

K + 1 = L

Therefore, the missing term in the second pair is YUL.

The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.

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Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Answer:

Step-by-step explanation:

Graph A has a negative discriminat because it does not touch the x-axis so the roots will be complex

Graph B has one real rooth because is a graph of a perfect square

Graph C has an equation with coeficients because it has to real roots (where the graph intersects the x axis.

Answer:

1) B

2) A

3) C

Step-by-step explanation:

Graph A has a negative discriminant because it does not touch the x-axis so the roots will be complex .

Graph B has one real root because is a graph of a perfect square .

Graph C has an equation with coefficients because it has to real roots (where the graph intersects the x axis.

Answer:

y = 3

Step-by-step explanation:

4y + 3 = 15  First subtract 3 from each side.

4y + 3 - 3 = 15 - 3   The 3 on the left will cancel.

4y = 15 - 3

4y = 12       Divide each side by 4

4y/4 = 12/4     The 4 on the left will cancel because 4/4 = 1

y = 12/4

y = 3

Step-by-step explanation:

I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved

Answer:

c = 3/2x + −3/2

Step-by-step explanation:

Let's solve for c

-3x+2c=-3

Step 1: Add 3x to both sides.

2c −3x + 3x = −3 + 3x

2c = 3x −3

Step 2: Divide both sides by 2.

2c = 3x−3

2        2

c = 3/2x + −3/2

Answer:

c = 3/2x + −3/2

1) The way both are similar is that they involve subtraction operation.

2) The way they are different is that they produce different answers.

The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.

The expressions are;

-15 - (-6) and 15 - 6

The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another

The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.

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Answer:

oof

Step-by-step explanation: