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Charra [1.4K]
2 years ago
15

X+2y-z = 9 -2x+y+z= 1 2x-y+2z= -5

Mathematics
1 answer:
hodyreva [135]2 years ago
7 0

Answer:

I don't understand the first one

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6)
dybincka [34]

Answer:

C

Step-by-step explanation:

both 4 and -4 are 4 units away from 0

8 0
2 years ago
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Find the amount budgeted for food on a salary of $19,300 if the food budget is 13%.
kvv77 [185]
The amount of the food budget is $2,509 as it is 13% of $19,300.
4 0
3 years ago
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
Simplify to create an equivalent expression <br> −5(3p+3)+9(−7+p)
son4ous [18]

Answer: -6p - 78

Step-by-step explanation:

-5 (3p + 3) + 9(-7 + p)

-15p -15 - 63 + 9p

-6p-78

4 0
3 years ago
Read 2 more answers
In the figure,ABC~ DEF. solve for x
Zinaida [17]

Answer:

B) X = 6

Step-by-step explanation:

The figure transformation is a dilation. And the side lengths increased by two.

8 0
2 years ago
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