<span>A
−10 + 16 = 6
........................................................</span>
Answer:
y = -2x + 10
Step-by-step explanation:
The equation is y = mx + b
1. Find the slope first.
--> (y2 - y1) / (x2 - x1) = slope
--> (-12 - -6) / (11 - 8) = (-6) / (3) = -2
2. Then, find the y-intercept (b) by plugging one of the points
--> y = -2x + b
--> -6 = -2(8) + b
--> -6 = -16 + b
--> b = 10
3. Combine
--> y = -2x + 10
The equation of an ellipse is:
(x-h)²/a² + (y-k)²/b², where h, k are the coordinates of the center, a & b represent half of the major & minor axis respectively.
The given equation is:
x²/100 + y²/36 = 1.( a =10 and b = 6)
CENTER: Since h and k = 0, then the center of this ellipse is the origin (0,0)
VERTICES: a² = 100, → a = +10 and a = -10, then the right vertex is (10,0) and the left vertex is (-10,0)
FOCI: The distance "c" from the center to the focus is given by the following:
c² = a² - b²
c² = 100 - 36 = 64 and c = +8 and - 8
The coordinate of the right focus F₁(8,0) and F₂(-8,0) for the left focus
Answer:
6:8 compares the number of tiger shark teeth to sand shark teeth.
Step-by-step explanation:
Ratios, in mathematics, is a way to compare two or more numbers in relation to their sizes. According to the question, Christian collected 18 different shark teeth. He found out that the tiger shark teeth were 6, sand shark teeth were 8, hence the remaining 4 shark teeth would be for bull shark.
In order to compare the number/size of the different shark teeth to one another, we use ratios. Hence, if we say 6:8, it means that the proportion of the tiger shark teeth to the sand shark teeth is 6 to 8. This also means that the tiger shark teeth is 6/8 of the sand shark teeth.
Answer:
$142,750
Step-by-step explanation:
To find how much money will be made we have to multiply the cost to park in a parking lot by the number of cars in that parking lot.
To find the amount made from satellite parking:
6.50 * 3,500 = 22,750
$22,750 is the amount made from cars parked in the satellite lot.
To find the amount made from the arena lot:
10.00 * 12,000 = 120,000
$120,000 were made from cars parked in the arena lot.
To find the total amount of how much was made, add the two amounts together.
22,750 + 120,000 = 142,750
In total, $142,750 was made.
