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3 years ago

9

What is the solution to the equation below?

1 answer:

sashaice [31]3 years ago

7 0

$\huge\boxed{\text{A.}\ x=-3}$

Start by subtracting $2x$ from both sides of the equation. Our goal is to isolate the variable. $5+4x=-7$

Now, subtract $5$ on both sides. $4x=-12$

Finally, divide both sides by $4$ . $x=\boxed{-3}$

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Find the slope of the line that passes through the points (2.1) and (-1.-1).

sp2606 [1]

Answer: The slope is $\frac{2}{3}$

Step-by-step explanation:

The slope can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, knowing that the line passes through the points (2,1) and (-1,-1), we can substitute the coordinates into the formula.

In this case:

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Therefore, the slope of the line that passes through the points (2,1) and (-1,-1) is:

$m=\frac{-1-1}{-1-2}\\\\m=\frac{-2}{-3}\\\\m=\frac{2}{3}$

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4 years ago

Find the area of the shaded region. Round your answer to the nearest tenth.

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Step-by-step explanation:

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3 years ago

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Minchanka [31]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Jim is enclosing a rectangular garden with 170 feet of fencing. The length of the garden is 10 feet more than twice it’s width,

Darina [25.2K]

Answer:

$1,500\ ft^2$

Step-by-step explanation:

Let

L ----> the length of the rectangular garden in feet

w ---> the width of the rectangular garden in feet

step 1

Find the width

we know that

The perimeter of the rectangular garden is

$P=2(L+W)$

$P=170\ ft$

so

$170=2(L+W)$

Simplify

$85=(L+W)$ ----> equation A

$L=2W+10$ ----> equation B

substitute equation B in equation A and solve for W

$85=(2W+10+W)$

$85-10=3W$

$3W=75$

$W=25\ ft$

Find the value of L

$L=2(25)+10=60\ ft$

step 2

Find the area

we know that

The area of the rectangular garden is

$A=(LW)$

substitute the values

$A=(60)(25)=1,500\ ft^2$

6 0

3 years ago