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VashaNatasha [74]
2 years ago
6

Find the value of x that makes A||B <2= 2x+10 <4=4x+80

Mathematics
1 answer:
lawyer [7]2 years ago
8 0

Answer:

2

Step-by-step explanation:

this is the correct answer

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A radio telescope has a parabolic surface, as shown below.
krek1111 [17]
OK, so the graph is a parabola, with points x=0,y=0; x=6,y=-9; and x=12,y=0

Because the roots of the equation are 0 and 12, we know the formula is therefore of the form

y = ax(x - 12), for some a

So put in x = 6

-9 = 6a(-6)

9 = 36a

a = 1/4

So the parabola has a curve y = x(x-12) / 4, which can also be written y = 0.25x² - 3x

The gradient of this is dy/dx = 0.5x - 3

The key property of a parabolic dish is that it focuses radio waves travelling parallel to the y axis to a single point. So we should arrive at the same focal point no matter what point we chose to look at. So we can pick any point we like - e.g. the point x = 4, y = -8

Gradient of the parabolic mirror at x = 4 is -1

So the gradient of the normal to the mirror at x = 4 is therefore 1.

Radio waves initially travelling vertically downwards are reflected about the normal - which has a gradient of 1, so they're reflected so that they are travelling horizontally. So they arrive parallel to the y axis, and leave parallel to the x axis.

So the focal point is at y = -8, i.e. 1 metre above the back of the dish.
5 0
2 years ago
Pleaseeeee helpp!!!!!!!
erica [24]

B-corresponding

E-included Angles

C-included side

D-Linear pair

A-Adjacent angles





5 0
3 years ago
I'm stuck please help me
netineya [11]
28) 
330.0076


29)  
V = l X w X h
V = 12 X 20 X 14

12 X 7 = 84
84 X 2 = 168

168 X 20 = 3360

The volume of the cooler is 3,360 in³

3 0
3 years ago
Read 2 more answers
What is the perimeter of a polygon with vertices at ​ (3, 2) ​, ​ ​ (3, 9) ​​, (7, 12) , ​ (11, 9) ​​, and ​​ ​ (11, 2) ​?
Vaselesa [24]

Answer:

the answer is 32 units.

Step-by-step explanation:

4 0
3 years ago
Jennifer scores a 77 on her algebra 2 test. The mean on the test was 73. The standard deviation on the test was 5. What was her
MA_775_DIABLO [31]

Answer:

  0.80

Step-by-step explanation:

The z-score is found from the formula ...

  Z = (X -μ)/σ

  Z = (77 -73)/5 = 4/5 = 0.80

Jennifer's Z-score was 0.80.

7 0
3 years ago
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