Rotate figure 180 degrees clock wise about point (-2,3)

Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60

anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

$L=5W-60$ (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

$Area=W*L=W*(5W-60)$ (Equation #2)

Since the Area of the yard is $800 ft^2$ , then equation #2 turns into:

$800=W*(5W-60)$

Now, we rearrange this equation:

$800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0$

We can divide the equation by 5 :

$W^2-12W-160=0$

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since $(-20)*8=160$ and $-20+8=-12$ . The equation factorised looks like this:

$(W-20)(W+8)=0$

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

$5*20-60=40$

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0

3 years ago

Janice has car insurance that she must pay four times a year. If each payment is $156, how much money should she set aside each

krok68 [10]

Answer:

C

i hope this helped you

3 0

3 years ago

Read 2 more answers

There are 5 buses, and each of these buses is taking 37 people to a game. Another bus is taking 9 people. How many people are th

Nina [5.8K]

Add 37 + 9 = 46

If thats not your answer theres more.

46 divided by 5 = 9.2

4 0

3 years ago

Solve for m please. No explanation needed thank you.

liq [111]

Answer is below.

(Note to asker: Lack of explanations can get my answer deleted)

Step 1

We'll to isolate the variable, but to do that, get rid of the coefficient that multiplies it.

To do that, divide both sides by 22.

$\frac{22m}{22}=\frac{22}{10}$

Step 2.

Now we have divided both sides by 22, but we'll need to reduce the fraction $\frac{22m}{22}$ .

We can reduce the fraction by dividing the factors that are in the numerator and denominator.

That being said, 22 appears both in the numerator and denominator.

$\frac{22m}{22}=m=\frac{2\times5}{2\times11}$

Step 3

Now, for $\frac{2\times5}{2\times11}$ , we'll need to reduce it to the lowest terms. Like in the 2nd step, we'll divide factors that are in the numerator and denominator.

That being said, 2 appears both in the numerator and denominator.

Hence, M = 5/11

3 0

3 years ago

PLEASE HURRY ILL GIVE BRAINLIEST FOR FIRST ANSWER

TEA [102]

Answer:

(b) 17 1/3

Step-by-step explanation:

mixed number

A number is written as a whole number and a fraction

4 0

3 years ago