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2 years ago

5

What are the solutions to the equation 2(x+1)^2=32

1 answer:

GenaCL600 [577]2 years ago

8 0

Answer:

Simplify 2(x+1)\times 22(x+1)×2 to 4(x+1)4(x+1).

4(x+1)=324(x+1)=32

2 Divide both sides by 44.

x+1=\frac{32}{4}x+1=

4

32

3 Simplify \frac{32}{4}

4

32

to 88.

x+1=8x+1=8

4 Subtract 11 from both sides.

x=8-1x=8−1

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3 years ago

1.) List all interior angles (see image)

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Answer:

1. Interior angles:- B and F

C and G

2. Corresponding angles:- E and G

F and H

A and C

B and D

3. Equal

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Angle D = 75

Angle E = 75

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5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1) B and F

2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

2) B and D

3) E and G

4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

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2 years ago

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Nadusha1986 [10]

We are given 4 points.

$(\frac{1}{2},2)$

$(\frac{5}{8},\frac{5}{2})$

$(\frac{3}{4},3)$

$(\frac{7}{8},\frac{7}{2})$

Using this, we can make an equation.

$y=4x$

I got $m=4$ by using the slope formula.

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So the equation we have is $y=4x$

Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for $y$ , which is the number of cracker packages.

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We need to use $\frac{25}{4}$ teaspoons of peanut butter to make 25 packages of crackers.

Hope this helps.

頑張って!

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2 years ago