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3 years ago

Solve (x + 9)² = 25.

Mathematics

2 answers:

valina [46]3 years ago

7 0

Answer:

If x + 9 = 5, then x = -4

If x + 9 = –5, then x = -14

Step-by-step explanation:

It was on Edgenuity

Hope this helped :)

ollegr [7]3 years ago

5 0

The answer is x = -4.
Applying the square root property of equality basically means that we need to take the square roots of both sides.

$\sqrt{(x+9)^{2} }= \sqrt{25}$

Which turns into: $x+9=5$

Then we can isolate x by subtracting 9 from both sides: $x=-4$

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2 years ago

Could someone explain why (-4)² is equal to 16 but -4² is equal to -16

erica [24]

Answer:

It's all about the brackets.

Step-by-step explanation:

If we do (-4)^2, the brackets make it -4 x -4 and the two negatives make a positive of 16.

If we do -4^2, that means that the 4 is squared before putting the minus sign there so you have 4x4 = 16 then put the minus to get -16.

Hope this helps!

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3 years ago

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3 years ago

What is GE ?<br> Enter your answer in the box.

Flura [38]

The length of GE is 10 units

Explanation:

Given that the length of XY = 5 units and YZ = 4.6 units

<u>The length of GE:</u>

We need to determine the length of GE

From the figure, we can see that ZY bisects GE and XY bisects EF.

The lines ZY and XY both bisect GF.

The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".

Since, we have,

EX = XF and X is the midpoint of EF

GY = YF and Y is the midpoint of GF

Since, XY is the line segment that connects the midpoints of the two sides of the triangle.

Applying the midpoint theorem, we have,

$GE = 2XY$

$GE = 2(5)=10 \ units$

Thus, the length of GE is 10 units.

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3 years ago