The equation for a circle with a center (-2, 8) and a radius of 9 will be (x + 2)² + (y − 8)² = 81.
<h3>What is an equation of a circle?</h3>
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
Write an equation for a circle with a center (-2, 8) and a radius of 9.
Then the equation will be
(x + 2)² + (y − 8)² = 9²
(x + 2)² + (y − 8)² = 81
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Answer:
b = 7
Step-by-step explanation:
3b - 4 = 17 is 7 because you are trying to isolate the variable. First, you add 4 to each side (17 + 4 and 4 + 4). Since, 17 + 4 is 21, 3b = 21. Now, since the inverse operation of multiplication is division, we divide 3 by both sides. 17 divided by 3 is 7. So b = 7.
Answer:
Proportion states that the two ratios or fractions are equal.
As per the given statement:
f the feed per revolution on an upright drilling machine is set to 1/64" and the rpm is set to 105.
Let x represents the revolutions are required for the drill to advance
into the part.
By definition of proportion:
![\frac{\frac{1}{64} }{105} = \frac{\frac{17}{8} }{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B64%7D%20%7D%7B105%7D%20%3D%20%5Cfrac%7B%5Cfrac%7B17%7D%7B8%7D%20%7D%7Bx%7D)
By cross multiply we have;
![\frac{x}{64}= 105 \cdot \frac{17}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B64%7D%3D%20105%20%5Ccdot%20%20%5Cfrac%7B17%7D%7B8%7D)
Multiply both sides by 64 we get;
![x = 105 \cdot 17 \cdot 8](https://tex.z-dn.net/?f=x%20%3D%20105%20%5Ccdot%2017%20%5Ccdot%208)
Simplify:
![x = 14,280](https://tex.z-dn.net/?f=x%20%3D%2014%2C280)
Therefore, 14,280 rpm revolutions are required for the drill to advance
into the part
Answer:
=> Expand by applying the FOIL method
![2x\cdot \:3x+2x\left(-8\right)-7\cdot \:3x-7\left(-8\right)](https://tex.z-dn.net/?f=2x%5Ccdot%20%5C%3A3x%2B2x%5Cleft%28-8%5Cright%29-7%5Ccdot%20%5C%3A3x-7%5Cleft%28-8%5Cright%29)
=> combine like terms
![6x^2-37x+56](https://tex.z-dn.net/?f=6x%5E2-37x%2B56)
Answer:
The first step would be to look at the first two numbers (which is 27) and estimate which <u>multiple</u> of 5 is closest and <u>below</u> 27.
5*5 = 25
So once she got 25, she will need to subtract 27-25, which will give her 2. REMEMBER: 5 is the first number of the quotient.
Now, she will need to drag the last digit left of 275 (which is 5) to the remainder 2 and think what multiple of 5 will give her the answer 25.
Again, 5*5 = 25
Once again, her numbers on the quotient will be 55. That's the answer.