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2 years ago

Find the slope of the line that passes through the points (2, -5) and (7, 1) Step 1: Choose (x1, y1) X1= _ y1=_

Mathematics

2 answers:

kirza4 [7]2 years ago

7 0

Answer:

slope: 6/5

Step-by-step explanation:

you do y2-y1 divided by x2-x1 so it will be 1-(-5) / 7-2 which is equal to 6/5

alexandr402 [8]2 years ago

4 0

Answer:

It’s x1=2 and y1=-5

Step-by-step explanation:

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You are designing a rectangular garden. the garden will be enclosed by fencing on three sides and by a house on the fourth side.

RUDIKE [14]

Suppose the dimensions of the rectangle is x by y and let the side enclosed by a house be one of the sides measuring x, then the sides that is to be enclosed are two sides measuring y and one side measuring x.

Thus, the length of fencing needed is given by

P = x + 2y

The area of the rectangle is given by xy,

i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

$y= \frac{288}{x} = \frac{288}{24} =12$

Thus, the length of fencing needed is given by

P = x + 2y = 24 + 2(12) = 24 + 24 = 48.

Therefore, 48 feets of fencing is needed to enclose the garden.

8 0

3 years ago

Factor each expression 36abc +54ad

olya-2409 [2.1K]

Answer:

18a(2bc + 3d)

Step-by-step explanation:

36abc + 54ad

Step 1: Find the Highest Common Factor of each

36abc = 2×2×3×3×a×b×c = 18a × 2bc

54ad = 2×3×3×3×a×d = 18a × 3d

HCF = 2×3×3×a = 18a

Step 2: Factor out with HCF

18a(2bc + 3d)

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3 years ago

Multiple Representations Simplify this expression. Use pencil and paper. Write at least two expressions equivalent to this one.

allsm [11]

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2 years ago

Find radius of the sphere from the following volume

nordsb [41]

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1 year ago

Solve the equation 2x^{2}+9x-1=x to the nearest 10th

Scilla [17]

Answer:

2x2+9x−1=x

Step 1: Subtract x from both sides.

2x2+9x−1−x=x−x

2x2+8x−1=0

Step 2: Use quadratic formula with a=2, b=8, c=-1.

−b±√b2−4ac

−(8)±√(8)2−4(2)(−1)

2(2)

−8±√72

x=−2+

√2 or x=−2+

−3

√2

Step-by-step explanation:

This is what I got but I'm not 100% positive. I checked it on a calculator and it seemed to check out.

4 0

3 years ago

Find the slope of the line that passes through the points (2, -5) and (7, 1) Step 1: Choose (x1, y1) X1= ___ y1=___

Find the slope of the line that passes through the points (2, -5) and (7, 1) Step 1: Choose (x1, y1) X1= _ y1=_