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mixas84 [53]
3 years ago
11

Two planes that have a line in common are called

Mathematics
1 answer:
natima [27]3 years ago
7 0

Answer:

they would be intersecting lines

Step-by-step explanation:

brainly crown apricated if I'm right

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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
What is the x and y intercepts Of “ -2y=3x-6 “ ?
vesna_86 [32]

-2y=3x-6\ \ \ \ |:(-2)\\\\y=-1.5x+3

It's a slope-intercept form where a slope = -1.5 and y-intercept = 3.

x - intercept: y = 0

Therefore we have the equation:

-1.5x + 3 = 0    |-3

-1.5x = -3     |:(-1.5)

x = 2

Answer: x-intercept = 2, y-intercept = 3

5 0
3 years ago
I need help on 6. 7. 8. Help
e-lub [12.9K]
Number 6 is 10:10 The first plane arrives at 6:50 you add 50 minutes to that and keep adding 50 minutes until you get to after 10:00 because it says his plane arrived after 10:00.
3 0
3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term.
Simora [160]
Consecutive terms in an arithmetic sequence differ by a constant d. So

5k-1=2k+d
6k+2=5k-1+d
\implies\begin{cases}3k-d=1\\k-d=-3\end{cases}\implies k=2,d=5

Denote the n-th term in the sequence by a_n. Now that a_1=2, we have

a_n=a_{n-1}+5=a_{n-2}+2\cdot5=\cdots=a_1+(n-1)\cdot5

which means

a_8=2+(8-1)\cdot5=37
4 0
3 years ago
18 ≥ 6x what is the answer
dangina [55]

Answer:

3 ≥ x

Step-by-step explanation:

8 0
2 years ago
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