Answer:
<h2>x=52</h2>
Basic fact:
<em>angles in a point add up to 360</em>
Step-by-step explanation:
20+165+33+90(that is the right angle)+x=360
20+165+33+90=308
308+x=360
-308
x=52
Answer:
Step-by-step explanation:
let x = how many joe sold
let 4x = how many abe sold
900 = x + 4x
900 = 5x
180 = x
joe sold 180
and abe sold 4x
4(180) = 720
hat means Abe sold 720 trucks
finally, let's check our answer to make sure the total is 900
180 + 720 = 900
our answer is right
![\frac{12 {x}^{8} }{3 {x}^{2} } \\ = \frac{12}{3} {x}^{8 - 2} \\ = 4 {x}^{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%20%7Bx%7D%5E%7B8%7D%20%7D%7B3%20%7Bx%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B12%7D%7B3%7D%20%20%7Bx%7D%5E%7B8%20-%202%7D%20%20%5C%5C%20%20%3D%204%20%7Bx%7D%5E%7B6%7D%20)
<u>Answer</u><u>:</u>
<u>
</u>
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
17
Step-by-step explanation:
The quadratic function f (x) has a turning point at (5.-8). If 8(x)= f(x+7)-3. then at which of the following ... If f(x) is an odd. one-to-one function with f (5) = -2 then which point must lie on the graph of its ... Solve the equation f(x) = g(x) for all values of x. ... (3) (-4.10). 1. 2.64x+4 +y2-10y+25 =-12+4+25. (x+2)(x+2) +ly-sly-5)= 17.
Completing the squares and comparing to the standard equation, it is found that the diameter of the circle is of
units.
<h3>What is the equation of a circle?</h3>
- The equation of a circle of center
and radius r is given by:
![(x - x_0)^2 + (y - y_0)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_0%29%5E2%20%2B%20%28y%20-%20y_0%29%5E2%20%3D%20r%5E2)
- The diameter is twice the radius, that is,
.
In this problem, the <em>equation </em>is:
![x^2 + 5x = -8y - y^2](https://tex.z-dn.net/?f=x%5E2%20%2B%205x%20%3D%20-8y%20-%20y%5E2)
Then:
![x^2 + 5x + y^2 + 8y](https://tex.z-dn.net/?f=x%5E2%20%2B%205x%20%2B%20y%5E2%20%2B%208y)
Completing the squares:
![\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \left(\frac{5}{2}\right)^2 + 4^2](https://tex.z-dn.net/?f=%5Cleft%28x%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E2%20%2B%20%28y%20%2B%204%29%5E2%20%3D%20%5Cleft%28%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E2%20%2B%204%5E2)
![\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \frac{25}{4} + 16](https://tex.z-dn.net/?f=%5Cleft%28x%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E2%20%2B%20%28y%20%2B%204%29%5E2%20%3D%20%5Cfrac%7B25%7D%7B4%7D%20%2B%2016)
![\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \frac{89}{4}](https://tex.z-dn.net/?f=%5Cleft%28x%20%2B%20%5Cfrac%7B5%7D%7B2%7D%5Cright%29%5E2%20%2B%20%28y%20%2B%204%29%5E2%20%3D%20%5Cfrac%7B89%7D%7B4%7D)
Hence:
![r^2 = \frac{89}{4}](https://tex.z-dn.net/?f=r%5E2%20%3D%20%5Cfrac%7B89%7D%7B4%7D)
![r = \sqrt{\frac{89}{4}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%5Cfrac%7B89%7D%7B4%7D%7D)
![r = \frac{\sqrt{89}}{2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%5Csqrt%7B89%7D%7D%7B2%7D)
Hence, the diameter is:
![d = 2r = 2\left(\frac{\sqrt{89}}{2}\right) = \sqrt{89}](https://tex.z-dn.net/?f=d%20%3D%202r%20%3D%202%5Cleft%28%5Cfrac%7B%5Csqrt%7B89%7D%7D%7B2%7D%5Cright%29%20%3D%20%5Csqrt%7B89%7D)
You can learn more about the equation of a circle at brainly.com/question/16505663