Answer:
Step-by-step explanation:
Since the divisor of 
is in the form of 
we use what is called Synthetic Division. Now, in this formula, −c gives the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
4| 1 1 −17
↓ 4 20
_________
1 5 3 →
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + x - 17]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x, the 5 follows right behind it, and bringing up the rear, 
giving you the quotient of 
However, in this case, since you have a remainder of 3, this gets set over the divisor.
I am joyous to assist you anytime.
Answer:
(x - 8)^2 + (y + 1)^2 = 68
Step-by-step explanation:
The standard form of the equation of the circle with center (8,−1) is :
(x - 8)^2 + (y + 1)^2 = R^2
If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.
Answer: m=0.5
Step-by-step explanation:
Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
m=Let's find the slope between your two points.
(7,9.5);(2,7)
(x1,y1)=(7,9.5)
(x2,y2)=(2,7)
Use the slope formula:
y2−y1/y2−y1
7−9.5/2-7
2.5/-5 m=0.5
2.5 is already rounded to the nearest hundredth. S it cant be rounded again. Its already rounded by the nearest hundredth.
hope it helps!
Answer:
1. about 11.18
2. about 8.66
Step-by-step explanation:
1. 5^2 + 10^2= 125
square root of 125 equals about 11.18
2. 10^2-5^2=75
square root of 75 equals about 8.66
