Step-by-step explanation:
Since y = (x + 3)(x + 3), the root is x = -3.
Only Graph A touches the x-axis once.
Answer:
244 degrees
Step-by-step explanation:
Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.
Since both segments go through the center, that means all the angles are central angles.
Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.
33k -9 = 90
33k = 99
k = 3
Since we know k we can substitute it to find angle CPD.
20 k + 4 = 20*3 + 4= 60+4= 64 degrees.
Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.
64+ 90 +90 = 244 degrees
Answer:
10,000
Step-by-step explanation:
"The number who have been vaccinated against both is twice the number who have been vaccinated only against mumps."
Let b = number of children vaccinated against both.
Let m = number of children vaccinated only against mumps.
b = 2m
"If 5,000 have been vaccinated against both"
5000 = 2m
m = 2500
5000 children are vaccinated against both.
2500 children are vaccinated only against mumps.
The total number vaccinated against mumps is the number vaccinated only against mumps plus the number vaccinated against both:
2500 + 5000 = 7500
"the number of children who have been vaccinated against rubella is twice the number who have been vaccinated against mumps."
total number of children vaccinated against rubella = 2 * 7500 = 15,000
5000 of those children are vaccinated against both.
15,000 - 5000 = 10,000
10,000 children are vaccinated only against rubella.
Answer: 10,000
