Answer: -4x - y = -50 (second option)
Step-by-step explanation: The only way lines won't intersect is if they're parallel. Parallel lines have the same slope --> the line must have a slope of -4x.
Option 1:
- y = 4x - 200 (add 4x to both sides)
- <em>Different slope.</em>
Option 2:
- -y = 4x - 50 (add 4x to both sides)
- y = -4x + 50 (divide by -1)
- <em>Same slope.</em>
Option 3:
- -y = -4x - 200 (subtract 4x from both sides)
- y = 4x + 200 (divide by -1)
- <em>Different slope.</em>
Option 4:
- -y = -4x - 50 (subtract 4x from both sides)
- y = 4x + 50 (divide by -1)
- <em>Different slope.</em>
Answer:
C. 27.3%
Step-by-step explanation:
The total number of people who ordered a sundae is 22.
The number of those who got crushed candy is 6.
To find the percentage, divide the value (6) by the total value (22), and then multiply it by 100.
Thus, 6 is approximately 27.3% of 22.
Answer:
152
ΔY = 436 - 132 =304
Δ X = 6-4 = 2
ΔY/X = 304/2 = 152
Step-by-step explanation:
So the equation of a circle is (x - h)² + (y - k)² = r² where (h,k) are the coordinates of the center of the circle and r is the radius. The diameter of a circle is a line that goes from one point of the circle to the other through the center of the circle. Well the center would be midway through the diameter so use midpoint formula to find the center which is (h,k) Mid point formula is both given x's added together divided by 2 for h and both y coordinates added together divided by 2 to find k
(10+0)/2
10/2= 5
(12+2)/2
14/2 = 7
so the center of the circle is (5,7) now use distance formula using the center and one of the points to the radius
√((5-10)²+(7-12)²)
√(-5²+ -5²)
√(25 + 25)
√50 is the radius
Now plug all found information into circle equation
(x-5)² + (y-7)² =50 note the end is 50 because the circle equation is radius squared and since the radius is √50, radius² is 50.
Answer is c
