Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
V=πr^2h=π·5^2·9≈706.85835
plz mark brainliest.
Answer:
Step-by-step explanation:
<u>Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:</u>
- d = -3 - (-9) = -3 + 9 = 6
Correct choice is C
Presumably, the path starts on the horizontal axis at (1, 0) and ends on the vertical axis at (0, 1). Since we know the vector field is the gradient of a scalar function, we can apply the fundamental theorem of calculus (aka gradient theorem):
