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4 years ago

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The length of a rectangle is 8m less than three times the width, and the area of the rectangle is 35m^2. Find the dimensions of

the rectangle.

1 answer:

vovikov84 [41]4 years ago

6 0

Answer:

W = 5 L = 7

Step-by-step explanation:

L = 3W - 8

A = 35

I plugged in 5 for W and got 7 as L.

L x W or 7 x 5 = 35

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The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

We are asked to find the area of this circle.

The formula for finding the area of a circle is $\pi r^2$ .

Since the radius is $5$ , then the area in terms of $\pi$ ,(pi), is $\pi (5)^2=\pi (25)$ .

The answer is $25\pi$ units squared.

4 0

3 years ago

the area of a rectangular patio is represented by the expression 6x^2+13-5. the width of the patio is (3x-1) write an expression

jok3333 [9.3K]

<span>I think you meant 6x²+13x-5 so first thing we have to do is factor it which is really quite tricky with this kind of trinomial so first take ac which is 6 times -5 so -30 now figure out factors of -30 that will add up to 13 how about 15 and -2 now that we have the factors write the equation again</span>

<span /><span> 6x²+15x-2x-5 </span>split the equation in half<span />

<span>6x²+15x -2x-5 so out of the first equation we can pull a 3x out</span>

<span>3x(2x+5) and out of the second we can pull a negative 1</span>

<span>3x(2x+5) -1(2x+5) rewrite it</span>

<span>(3x-1)(2x+5) so the 3x-1 is the factor we already had so the other side is (2x+5)</span>

<span>
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<span><u>HOPE THIS HELPS!!!</u></span>

6 0

3 years ago

How to i solve for v for this following equation -19v = -17v – 14

EastWind [94]

The answer will be v=7

8 0

3 years ago

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Circle O has a circumference of 36π cm. Circle O with radius r is shown. What is the length of the radius, r? 6 cm 18 cm 36 cm 7

Gwar [14]

Answer: 18 cm

Step-by-step explanation:

We know the circumference formula is C=2πr. Since our circumference is given in terms of π, we can easily figure out what the radius is.

36π=2πr [divide both sides by π to cancel out]

36=2r [divide both sides by 2]

r=18 cm

6 0

3 years ago

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lesya [120]

Answer:

<h2>y = 0.5x</h2>

Step-by-step explanation:

$\dfrac{y}{x}=a\to y=ax\\\\\text{We have}\ x=1,\ y=0.5.\\\\\text{Substitute:}\\\\a=\dfrac{0.5}{1}=0.5\\\\\text{Therefore}\ y=0.5x$

7 0

3 years ago

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