The Vertex of the parabola is V=(-5,-2)=(h,k)→h=-5, k=-2
This is a vertical parabola, then its equation has the form:
y=a(x-h)^2+k
Relacing h=-5 and k=-2
y=a(x-(-5))^2+(-2)
y=a(x+5)^2-2
When the x-value is -4, the y-value is 2. What is the coefficient of the squared expression in the parabola's equation:
a=?
x=-4, y=2→2=a(-4+5)^2-2
2=a(1)^2-2
2=a(1)-2
2=a-2
2+2=a-2+2
4=a
a=4
Answer: The coefficient of the squared expression in the parabola's equation is 4
Answer: Option B. 4
Answer:
The radius of the circle A is times greater than the radius of circle B
Step-by-step explanation:
step 1
Find the scale factor
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale factor
x----> the area of the clock A
y----> the area of the clock B
-----> equation A
we have
-----> equation B
substitute equation B in equation A
square root both sides
step 2
Find how many times greater is the radius of Clock A than the Clock B radius
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor
Let
z-----> the scale factor
x----> the radius of the clock A
y----> the radius of the clock B
we have
substitute
therefore
The radius of the circle A is times greater than the radius of circle B
Answer: 72 minutes
Step-by-step explanation:
Ww would use direct proportion with the formula: y = kx
where y = number of minutes
x = distance
18 = 4k
k = 18/4
k = 4.5
Therefore, the number of minutes that it would take her to run 16 km would be:
y = kx
y = 4.5 × 16
y = 72 minute
Parallel. The line for y=5 will never touch the x axis.
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°