What is the standard form of the quadratic function that has a vertex at (3,-2) and goes through the point (4,0)?
1 answer:
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Answer:
The length of the arc shown in red is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the length of the arc in red
Remember that the length of the circumference subtends a central angle of 360 degrees
so
by proportion find the length of the arc by a central angle of 110 degrees
Simplify
Answer:
The total number of voters was 7488
Step-by-step explanation:
Let us solve this question using the ratio method
∵ The ratio of yes votes to no votes was 4 to 5
∵ There were 4160 no votes
∵ We need to find the total number of votes
∵ The total of the ratio = 4 + 5 = 9
→ By using the ratio method
→ YES : NO : Total
→ 4 : 5 : 9
→ x : 4160 : y
→ By using the cross multiplication
∵ 5 × y = 4160 × 9
∴ 5y = 37440
→ Divide both sides by 5 to find y
∵ =
∴ y = 7488
∵ y represents the total number of voters
∴ The total number of voters was 7488