Answer:
2
Step-by-step explanation:
5(2-g)=0
10-5g=0
-5g=-10
g=2
Answer:
Option c is right.
Step-by-step explanation:
Given is a parabola y =x^2
From that transformation is done to get parabola as
y =(0.2x)^2
We find that instead of x here we use 0.2x
i.e. New x = 5 times old x
Hence there is a horizontal expansion of scale factor 5.
We can check with any point also
When y =4, x=2 in the parent graph
But when y =4 , we have x = 10 in the new graph
i.e. there is a horizontal expansion of scale factor 5.
Answer: The answer is 96 minutes (or 1 hr 36 minutes)
Step-by-step explanation:
Since it takes George 16 minutes to sew one pillowcase, it would take him 96 minutes/1 hr 36 minutes to sew 6 pillowcases (16x6 or 16+16+16+16+16+16/6+6+6+6+6+6+6+6+6+6+6+6+6+6+6+6)
Hello! What you're seeing in these images are two parallel lines cut by a transversal. There are many relationships between angles here.
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Problem g: What you are seeing here is alternate interior angles - they are both on the inside of the lines, and are on opposite sides of the transversal. These angles are proven to always measure the same thing.
Therefore, 8x - 4 = 60. Use this equation, and solve.
8x - 4 = 60
8x = 64
x = 8
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Problem h: Here, you are seeing corresponding angles. When you look at the two intersection points, these two angles are located "between the same sides". These angles are also proven to always measure the same.
Therefore, 6x = 5x + 10. Use this equation, and solve.
6x = 5x + 10
x = 10
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Problem i: These are alternate exterior angels. These are located on opposite ends of the transversal, and are on the outside of the parallel lines. These angles also always measure the same.
Therefore, -1 + 14x = 12x + 17. Now solve.
-1 + 14x = 12x + 17
2x = 18
x = 9
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Therefore, your three answers are x = 8, x = 10, and x = 9.
Hope this helps!
Method 1 is just straight multiplication, with the equation
which then equals
Method 2 is turning 3 into an improper fraction of
and multiplying it by
. This is then equal to
. You then reduce this to
by dividing the top and bottom units by 4.