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DochEvi [55]
3 years ago
15

Question 7 of 25

Mathematics
1 answer:
Viktor [21]3 years ago
6 0

Answer:

1\frac{92}{99}

Step-by-step explanation:

\frac{191}{99} = \frac{99 + 92}{99}

     = 1\frac{92}{99}

Sorry, don't know if that answers your question.

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An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p
horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

y=a(x+1)(x-5)=0

This gives

x=-1

y=5

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}

Thus the coordinates of B are:

B=(-1+\frac{2\sqrt{3} }{3},2)

Now this point B lies on the parabola, and therefore it must satisfy the equation  y=a(x+1)(x-5).

Thus

2=a((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)

Therefore

a=\frac{2}{((-1+\frac{2\sqrt{3} }{3})+1)((-1+\frac{2\sqrt{3} }{3})-5)}

\boxed{a=-0.3575}

8 0
3 years ago
What is the scale factor from AABC to ADEF?
8_murik_8 [283]

Answer: 8

Step-by-step explanation:

We are going from a smaller triangle to a larger triangle, so the scale factor is greater than 1.

  • Eliminate A and D.

We know scale factor = (image)/(preimage), so the scale factor is 32/4 = 8

7 0
2 years ago
PLS HELP WILL GIVE BRAINLIEST
Vanyuwa [196]

Answer:

The correct answer is the last choice. It travels for 2 hours, then stops for 1 hour, and finally travels again for 2 hours.

Step-by-step explanation:

In the first segment of the trip, the car goes from 0 to 2 hours and the line is moving up. Therefore, it traveled for 2 hours.

In the second segment, the line went straight horizontal for 1 hour. That means the distance didn't change, in other words, it didn't move.

In the last segment, it moved up again for 2 hours.

7 0
2 years ago
Read 2 more answers
What’s the answer to 8-(-4)
mash [69]

Answer:

+ 12

Step-by-step explanation:

8 - (- 4) = 8 + 4 = 12

8 0
3 years ago
Read 2 more answers
Francisco is making an effort to drink more water, and has set a goal of 222 liters per day. He wants to know the volume of the
OlgaM077 [116]

V = 1,005.7 rounded off to one decimal place

Because:

Volume of a cylinder = πr²h

V = 22/7 x 4 x 4 x 20

V = 1,005.7

3 0
3 years ago
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