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Murljashka [212]
3 years ago
12

Use this figure to find each ratio in simplest form

Mathematics
1 answer:
Aliun [14]3 years ago
5 0
Hey, I would be glad to help if i knew what the figure looked like ~
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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
Vikki [24]
The equation of the circle: (x-a)^2+(y-b)^2=r^2

where:
(a; b) - coordinates of the center
r - a radius

Use: (a\pm b)^2=a^2\pm2ab+b^2\ \ \ \ (*)

We have:

x^2-4x+y^2+8y=-4\\\\x^2-2x\cdot2+y^2+2y\cdot4=-4\ \ \ |add\ 2^2\ and\ 4^2\ to\ both\ sides\\\\\underbrace{x^2-2x\cdot2+2^2}_{(*)}+\underbrace{y^2+2y\cdot4+4^2}_{(*)}=-4+2^2+4^2\\\\(x-2)^2+(y+4)^2=-4+4+16\\\\(x+2)^2+(y-4)^2=16\\\\(x+2)^2+(y-4)^2=4^2

Answer:
The center: (-2; 4)
The radius: r = 4
7 0
3 years ago
Read 2 more answers
ONLY ANSWER IF YOU KNOW, SHOW WORK
yulyashka [42]

Answer:

hello,

Step-by-step explanation:

cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}

6 0
2 years ago
How does a "for every" statement show a ratio comparison? (Example of a for every statement: There a 5 strawberries for every 6
mestny [16]
If you think of the "for every" as a : then it will make sense. So, replace the "for every" with a :.
So:
There are 5 strawberries for every 6 apples 
Turns into
strawberries:apples = 5:6
5 0
2 years ago
Read 2 more answers
Write an equivalent expression in word form.<br><br> (1- 1/3) / 2
KonstantinChe [14]

Answer:

21

Step-by-step explanation:

3 0
2 years ago
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During one term Rachel took 2 mathematics test her mean score was 75 she scored 12 points more on the first test then the second
MaRussiya [10]

Answer: she scored 69 points on the second test.

Step-by-step explanation:

Let x represent the number of points that she scored in the first test.

Let y represent the number of points that she scored in the second test.

If her mean score was 75, it means that

(x + y)/2 = 75

x + y = 75 × 2

x + y = 150- - - - - - - - - 1

If she scored 12 points more on the first test than the second test, it means that

x = y + 12

Substituting x = y + 12 into equation 1, it becomes

y + 12 + y = 150

2y + 12 = 150

2y = 150 - 12

2y = 138

y = 138/2

y = 69

3 0
3 years ago
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