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schepotkina [342]
3 years ago
10

Christopher’s backyard is shaped like a rectangle with a length of 2x + 5 feet and a width of 4x - 7 feet.

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

8x² + 6x - 35

Step-by-step explanation:

A = (2x + 5)(4x - 7)

Front: 2x * 4x = <em>8x²</em>

Outside: 2x * (-7) = <em>-14x</em>

Inside: 5 * 4x = <em>20x</em>

Last: 5 * -7 = <em>-35</em>

Add up: <em>8x² - 14x + 20x -35</em>

Simplify: 8x² + 6x - 35

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Please give me the answers to all three I will mark u brilliant
elixir [45]

Answer:

First know the formula for the area of a circle;

<h2>A = πr^{2}</h2>

Where 'π' represents pi(3.14 or 22/7), and 'r' stands for the radius being squared.

For the first problem, we can see that 12 is our <u>diameter</u>.

And to find the radius, we need to find 1/2 of the diameter (half of the diameter), so;

D/2 = R

Replace with actual values;

12/2 = 6, <u>6</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(6^2)

A = 3.14(36)

A = <u>113.04 centimetres</u> is the area of the circle.

For the second problem, we can see that 18 is our <u>diameter</u>.

And to convert the diameter into the radius, we do what we did to the past problem, find 1/2 of the diameter.

So;

D/2 = R

18/2 = 9, <u>9</u> is our <u>radius</u>.

Now we plug this into our formula:

A = πr^{2}

A = 3.14(9^2)

A = 3.14(81)

A = <u>254.34 inches</u> is the area for this circle.

For the third problem, we can see that our radius is already given, 5.

So now we just simply and easily plug this into our formula;

A = πr^{2}

A = 3.14(5^2)

A = 3.14(25)

A = <u>78.5 meters</u> is the area for this circle.

4 0
1 year ago
What is JL? pls help
mrs_skeptik [129]

Answer:

It should be option a 4.5

3 0
3 years ago
Read 2 more answers
How to find the point-slope form for the slope of 6 and passing through(-7,1)​
MariettaO [177]

Answer: y-1=6(x+7)

Step-by-step explanation:

The formula for point-slope form is y-y_1=m(x-x_1). Since we are given the point and slope, we can directly plug them in.

y-1=6(x-(-7))            [distribute by -1]

y-1=6(x+7)

Now, we know that the point-slope form is y-1=6(x+7).

8 0
2 years ago
Write an expression for 5 times the difference of twice a number and 4
777dan777 [17]

Answer:

1. 50-x

2. 2x+189

3. x+109

4. x+99

5. x*(76-39)

6. 75+x

7. 45-3x

8. 2x+15

9. 3x-25

10. x*(x+88)

Step-by-step explanation:

4 0
2 years ago
Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees
lilavasa [31]

Step-by-step explanation:

Given: y // z Prove: measure of angle 5 plus measure of angle 2 plus measure of angle 6 equals 180 degrees

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