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olchik [2.2K]
3 years ago
7

Are the following expressions equivalent? Why or why not? 6(2x + 4) and 12x + 24

Mathematics
1 answer:
MrMuchimi3 years ago
8 0

Answer: Yes

Step-by-step explanation:

When using the distributive property, 6(2x + 4) becomes 12x + 24

6 * 2x = 12x and 6 * 4 = 24

12x + 24 = 12x + 24

Therefore, the expressions are equivalent.

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Point F is on circle C. What is the length of line segment GF?
Levart [38]
The answer:
the full question is as follow:
<span>Point F is on circle C. What is the length of line segment GF?

12.5  units
15.0  units
17.5  units
20.0  units

according to the image, GF= GC + CF

CF is the radius of the circle, so it is CF =CE = 7.5
all that we want to find is the value of GC
let's consider the triangle GEC. This is a right triangle, so for finding GC, we can apply Pythagorean theorem

that is, GE² + EC² = GC², and from this, we have GC = sqrt(</span>GE² + EC² )

GC = sqrt(10² + 7.5² )=sqrt(56.25)=12.5
<span>
therefore, </span>GF= GC + CF=12.5 + 7.5 = 20.0
the answer is 20.0  units

8 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Show that there is no solution for the radical equation 4w+4=-4.
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3 0
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A 32 foot tall tree casts a shadow that is 48 feet long. How far away from the tree is a
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39 feet

Step-by-step explanation:

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2 years ago
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