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Temka [501]
3 years ago
10

Find the points on x-axis where the circle with equation X square + Y square - 8 x - 8 Y - 9 = 0

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0

Answer:

(- 1, 0) and (9, 0 )

Step-by-step explanation:

To find the x- intercepts let y = 0 in the equation and solve for x, that is

x² + y² - 8x - 8y - 9 = 0

x² - 8x - 9 = 0 ← in standard form

(x - 9)(x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 =0 ⇒ x = 9

x + 1 = 0 ⇒ x = - 1

x- intercepts are (- 1, 0 ) and (9, 0 )

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Question 1 (1 point)<br> Which equation can be represented by a graph with a vertex at (1,3)?
madam [21]

Answer:

See explanation

Step-by-step explanation:

You have not provided the options to help us give you a specific answer.

If a quadratic function is written in the form

f(x) = a {(x - h)}^{2}  + k

Then (h,k) is the vertex, and 'a' is a constant.

For instance

f(x) = 5 {(x - 1)}^{2}  + 3

has vertex at (2,3).

Also, an absolute function in the form

g(x) = a  |x - h|  + k

has vertex at (h,k).

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4 0
3 years ago
Convert 0.6 shuttle orbits per hour to orbits per year
Hoochie [10]

Answer:

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Step-by-step explanation:

There are 8760 hours in a year, and at a rate of 0.6 orbits per hour you can find how many orbits there are per year by multiplying the rate and time like this

8760 x 0.6

This gives us an answer of 5256 which is the number of orbits per year

4 0
3 years ago
PLEASE HELP
Sergeeva-Olga [200]

Answer:

y = 2

Step-by-step explanation:

I will solve this problem, using the elimination method.

-2(5x - 3y) = -11

-10x + 6y = 22

2x - 6y = -14

Subtract and divide for x

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x = -1

Input -1 into the equations

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Thanks!

5 0
3 years ago
| 2x + 9 | = 15<br> Help pls
ikadub [295]

Answer:

x = 3 and x = -12

Step-by-step explanation:

To solve an absolute value equation, you create two equations, one where the right side is negated and one where the right side isn't:

| 2x + 9 | = 15 becomes:

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4 0
2 years ago
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