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olga2289 [7]
3 years ago
7

What is the standard form of the equation of a circle given by x2 + y2 – 18x + 8y + 5 = 0?

Mathematics
2 answers:
mario62 [17]3 years ago
7 0
The guy who answered is right but the radius is 92
avanturin [10]3 years ago
3 0
X²-18x+81 + y²+8y+16 = -5+81+16=92
(x-9)² + (y+4)² = (2✓23)²

circle centered at (9,-4) with radius 2✓23
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Nicki has 30 pencils. for every green pencil, she has 5 purple pencils. how many pencils of of each color could she have
Hatshy [7]

Answer:


Step-by-step explanation:


(1) P = 5G


(2) G + P = 30


Substituting (1) into (2) gives:


G + 5G = 30


6G = 30


G =5


So there are 5 green pencils.


Now using that in (1) gives us P = 5 x 5 = 25


So there are 5 green pencils and 25 purple pencils.

6 0
3 years ago
Which is the slope of the line that passes through the points (-2,4 and (5,-1)?
12345 [234]
Use the slope formula which is y2-y1/x2-x1. -1-4/5-(-2)= -5/7
5 0
3 years ago
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1.
zalisa [80]
1.) y-7=4(x+3)
2.) y+7=(x-1)
3.) y-3=6(x+8)
6 0
3 years ago
Solve the following quadratic by factoring.
Lina20 [59]

Answer:

4, -1

Step-by-step explanation:

We can reverse the FOIL (First, outside, inside, last) method to break down the equation. The question is asking to solve by factoring so you want to find the right combination of numbers this equation can be broken down into:

x^2 - 3x - 4 = 0

Because we want x squared, x needs to be multiplied by itself, so we can put x in the first slot for each.

(x + or - ?) ( x + or - ?) = 0

Then we need to find numbers that could be added to get -3 and multiplied to get -4. The only set of numbers that works for this is -4 and 1. Note that the sign you put in front of each number has an impact on your answers. With this we get:

(x - 4) (x + 1) = 0

To test that this is equal to the original equation, simply multiply it out using FOIL.

x * x = x^2

x * 1 = x

x * -4 = -4x

-4 * 1 = -4

Putting each component into an equation:

x^2 + x - 4x - 4 = 0

Simplifying:

x^2 - 3x - 4 = 0

Once we are sure it is still the same equation, we find the solutions. We know 0 multiplied by anything equals 0, so to get 0 as the answer, one of the sets in the parentheses must equal 0. (It doesn't matter what the other one is as long is one equals 0)

Therefore, we have 2 solutions, 4, and -1 because if x is 4, 4-4 is 0 which solves the equation, and if x is -1, then -1 + 1 is 0 which also solves the equation.

You can also check your answers by plugging them back into the original equation.

5 0
3 years ago
A moving walkway at an airport moves at a pace of 1.75 feet per second. If you stand on the walkway as it moves, how long will i
Marat540 [252]
It will take you 2 minutes and 40 seconds to get across the walkway.
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