Answer:
(x+1)² + y² = 36
Step-by-step explanation:
<u>Equation of a circle:</u>
(x-h)² + (y-k)² = r²
Center: (h,k)
Radius: r
Given a center of (-1,0) and a radius of 6, we have for our equation:
(x-(-1))² + (y-0)² = 6²
(x+1)² + y² = 36
Answer:
C option: 6 feet
Step-by-step explanation:
Since Yolanda wants to keep the pool in proportion to the model, the ratio of diameter to depth of model and the pool will be same.
Let the depth of pool is x feet.
Ratio of Diameter to Depth of Model = Ratio of Diameter to Depth of pool
This means the depth of pool should be 6 feet if Yolanda wants to keep the pool in proportion to the model.
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Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
D.) y= 0.3x
This is because slope is change in y over change in x, so we get 3/10 which is equivalent to 0.3
Answer:
A right triangle?
Step-by-step explanation:
