In the diagram below, de is parallel to xy. What is the value of y?

Find the quotient and write it in lowest terms.<br> 14/5 ÷ 7/25

lara [203]

The answer is 10 because all that divided equals 10! ✨

3 0

3 years ago

Given f(x)= √7x and g(x) = 1/x-8 which value is in the domain of f^o g

bekas [8.4K]

Answer: x>8

Step-by-step explanation: when we plug g(x) into f(x) we get sqrt7(1/x-8) and when you graph (as shown below) this you see that the graph has a vertical asymptote of 8 therefore the domain is x>8

8 0

3 years ago

the perimeter of a rectangular garden is 84 feet. write and solve the system of equations that can be used to find the dimension

scoray [572]

Answer:

The length is 22.5 and the width is 19.5

Step-by-step explanation:

2L + 2W = P

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2L + 2W = 84

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W + 3 + W + 3 + W + W= 84

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4W + 6 = 84

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4W = 78

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W = 19.5 L = 19.5 + 3 = 22.5

I hope this helps, have a nice day! :D

6 0

3 years ago

Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an

denis-greek [22]

The correct answer is acute.

5 0

2 years ago

A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol

k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

$W = 3 + L$ ......equation 1

$H = 4 + L$ ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

$Volume = length * width * height$ .....equation 3.

Substituting the values into equation, we have;

$224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}$

Rearranging the polynomial, we have;

$L^{3} + 7L^{2} + 12L - 224 = 0$

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

$(x - 3) = 0\\x = 3$

$P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9) + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0$

We would try with 4;

$P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16) + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224 - 224 = 0$

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0

3 years ago