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Rudik [331]
3 years ago
13

The width of a field is 3 miles less than the length. The square mileage of the plot is 18 miles squared. Find the dimensions.

Mathematics
1 answer:
kherson [118]3 years ago
6 0
LW = A
L(L - 3) = 18
L^2 - 3L - 18 = 0
(L - 6) (L + 3) = 0
L could be 6 or -3 ( -3 cannot be a length of a side of a rectangle since it’s negative.)
So L = 6 and W= 3
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I need help with my algebra 2. I also want to know how to solve this.
Lisa [10]

Add 1 to both sides:

\sqrt{x+3} = x+1

In cases like this, we have to remember that a root is always positive, so we can square both sides only assuming that

x+1 \geq 0 \iff x \geq -1

Under this assumption, we square both sides and we have

x+3 = (x+1)^2 \iff x+3 = x^2+2x+1 \iff x^2+x-2 = 0

The solutions to this equation are

x = -2,\ x=1

But since we can only accept solutions greater than -1, we discard x=-2 and accept x=1.

In fact, we have

x=-2 \implies \sqrt{-2+3}-1=0\neq -2

and

x=1 \implies \sqrt{4}-1=1

which is the only solution.

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3 years ago
Fill in the missing numbers on the number line. It starts at 2/5 and end at 5.
erastovalidia [21]
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3 years ago
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Find the inverse of function f<br> f(x)9x+7
kap26 [50]

The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

<h3>How to determine the inverse of the function?</h3>

The function is given as:

f(x) = 9x + 7

Express f(x) as y

y = 9x + 7

Swap the positions of x and y in the above equation

x = 9y + 7

Subtract 7 from both sides

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Divide through by 9

y = x/9 - 7/9

Express as an inverse function

f-1(x) = x/9 - 7/9

Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

Read more about inverse functions at:

brainly.com/question/14391067

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Distributive property -8(1+5m)
Stolb23 [73]

Answer:

im pretty sure that it is -48 there is a chance im wrong

Step-by-step explanation:

.

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