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11111nata11111 [884]
2 years ago
6

Need help with these type of problems & if you answer could you explain

Mathematics
1 answer:
Nuetrik [128]2 years ago
6 0

Answer:

c?

Step-by-step explanation:

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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
2 years ago
Need help finding this answer
Cloud [144]

Answer: The first option.


Step-by-step explanation:

1. The formula for calculate the perimeter is:

P=2l+2w

Where l is the lenght and w is the width.

2. The first perimeter is:

P_1=2(105m)+2(12.5m)=235m

3. If you multiply the dimension by a scale of factor of 2, is the same as write the following expression:

P_2=2(2l+2w)

Where 2l+2w is the first perimeter.

4. Then:

 P_2=2(235m)=470m



4 0
3 years ago
Read 2 more answers
A hot air balloon is 200.6 feet above land. After 5 minutes, the parasail is at 120.8 feet above land. What is the change in hei
Darina [25.2K]

Answer:

-79.8

Step-by-step explanation:

The change can be found by subracting the ending distance from the beginning distance.

In this case, its 200.6-120.8= 79.8

It is negative because the distance in the end became lower than the beginning distance.

Hope this helps!

5 0
2 years ago
A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters. What is
yawa3891 [41]

Answer:

351.9 cm^3

Step-by-step explanation:

d = diameter = 8 cm

r = radius = diameter/2 = 4 cm

h = height = 7 cm

volume = (pi)r^2h

volume = (3.14159)(4 cm)^2(7 cm)

volume = 3.14159(16 cm^2)(7 cm)

volume = 351.858 cm^3

Answer: 351.9 cm^3

8 0
3 years ago
Read 2 more answers
BRAINLIEST TO RIGHT ANSWER.
frutty [35]

Answer:

A

Step-by-step explanation:

The area in step one is

a²+b² but that does not equal (a+b)²

6 0
3 years ago
Read 2 more answers
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