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pogonyaev
3 years ago
7

Which expressions are equivalent to 90¹⁶

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

-30(3+2w)

 (-9-6w) ⋅ 10

 −20(4.5 + 3w)

Step-by-step explanation:

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Viefleur [7K]
Hopefully this is good

6 0
3 years ago
What fraction is equal to 6​
faust18 [17]

Answer:

6/1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A gardener wants to create a rectangular vegetable garden in a backyard. She wants it to have a total area of 120 square feet, a
erastova [34]
Comment
This is an area problem. The key words are 120 square feet and 12 feet longer.
And of course width is a key word when you are reading this.

Formula
Area = L * W

Givens
W = W
L = W + 12

Substitute and Solve
Area = L* W
120 = W*(W + 12)
W^2 + 12W = 120 square feet
w^2 + 12w - 120 = 0

This does not factor easily. I would have thought that a graph might help but not if the dimension has to be to the nearest 1/100 of a foot. The only thing we can do is use the quadratic formula.

a = 1
b = 12
c = - 120

w = [ -b +/- sqrt(b^2 - 4ac) ]/(2a)
w = [-12 +/- sqrt(12^2 - 4*(1)(-120)] / 2*1
w = [-12 +/- sqrt(144 - (-480)]/2
w = [-12 +/- sqrt(624)] / 2
w = [- 12 +/- 24.979992] / 2 The minus root has no meaning whatever.
w = (12.979992) / 2
w = 6.489995 I'll round all this when I get done

L = w + 12
L = 6.489995 + 12
L = 18.489995

check
Area = L * W
Area = 6.489995*18.489995
Area = 119.999935 The difference is a rounding error

Answer
L = 18.489995 = 18.49 feet
W = 6.489995 = 6.49 feet

Note: in the check if you round first to the answer, LW = 120.0001 when you find the area for the check. Kind of strange how that nearest 1/100th makes a difference.
5 0
3 years ago
What is the focus of the parabola?<br><br> y=−14x2−2x−2
nataly862011 [7]
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:

y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²

This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).

Or (-0.071,-1.977).</span>
3 0
3 years ago
If x^(2) = 64 and y^(2)= 121 what is the value of x-y?
GalinKa [24]

Step-by-step explanation:

<em>the value of x is 8</em>

8^(2) = 64

the value of y is 11

11^(2) = 121

x - y

= 8 - 11

= -3

<h3>#CMIIW</h3>

3 0
3 years ago
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