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goldenfox [79]
3 years ago
10

What isbthe measure of angle y in this figure? Enter your answer in the box. y=

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0
Y is 163 degrees because it is a vertical angle with the other 163 degree angle and vertical angles are equal.
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What is the radius of the circle given the equation x2 - 6x + y2 + 10y + 18 = 0?
arlik [135]
The\ equation\ of\ a\ circle:(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-a\ coordinates\ of\ the\ center\\r-a\ radius

x^2-6x+y^2+10y+18=0\\\\x^2-2x\cdot3+y^2+2y\cdot5=-18\\\\x^2-2x\cdot3+3^2+y^2+2y\cdot5+5^2=-18+3^2+5^2\ \ \ |use\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-3)^2+(y+5)^2=-18+9+25\\\\(x-3)^2+(y+5)^2=16\\\\therefore\\\\Answer:\boxed{r=\sqrt{16}=4}
7 0
3 years ago
Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
What numbers are less than -0.625
Ivanshal [37]

Answer:

-8/5 = -1.6 (the smallest number here)

-5/8 = -0.625

your answer is A :)

7 0
2 years ago
I Need some help ASAP! Math
Komok [63]

Answer:

y = 6X + 2

Step-by-step explanation:

i HOPE THIS HELPS YOU OUT!

5 0
2 years ago
Find the slope of the line (12,-18), (11,12)
telo118 [61]

Answer:

-30

Step-by-step explanation:

To find slope, subtract two y's and then subtract the x's in the same order.

<u>12-(-18)</u>=<u>30</u>=-30

11-12       -1

You could also switch the order like this...

<u>-18-12</u>=<u>-30</u>=-30

12-11      1

As you can see, both of the ways of solving for slope resulted in -30.

Hope this helps!! Have a great day :3

4 0
3 years ago
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