Answer:
420:8
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7 = 17.5% × Y
STEP 2 7 =
17.5
100
× Y
Multiplying both sides by 100 and dividing both sides of the equation by 17.5 we will arrive at:
STEP 3 Y = 7 ×
100
17.5
STEP 4 Y = 7 × 100 ÷ 17.5
STEP 5 Y = 40
Answer
y = 1(x +1) - 3
Explanation
A quadratic equation of the form y = ax^2 + bx + c
This written in complete the square form provides you with the vertex (either a maximum or minimum point depending on the equation).
This results in y = a(x + p) + q
Where - p is the x value and q is the y value of turning point.
For graph 22, x = -1 and y = -3
Therefore, the equation is of the form
y = a(x + 1) - 3 (*)
We still need the value a, this can be obtained by using the y-intercept we are given.
We are told x = 0 when y = -2
Substitute this in (*) equation:
-2 = a(0+1) - 3
-2 = a - 3
a = 1
Therefore final equation is
y = 1(x +1) - 3
This should provide you with the train of thought of how the second question should also be tackled.
If unsure about why the equation
y = a(x + p) + q gives the vertex ask in comments I will respond
Answer:
y+2 = 2(x+2)
Step-by-step explanation:
given point (a,b) and slope m, point slope form of a line is:
y-b = m(x-a)
Given:
diameter = 14 inches
radius = 14 inches / 2 = 7 inches
Circumference of a circle = 2 π r = 2 * π * 7inches = 14 inches * π
Area of a circle = π r² = π * (7in)² = π * 49in²
C = 14π and A = 49π