Answer:
Bar chart
Step-by-step explanation:
easier to understand
7+5= 12 ones. Or one ten and 2 ones. They made 12.
36 + 0 = 36, 35 + 1 = 36, 34 + 2 = 36, 33 + 3 = 36, 36 - 0 = 36, 37 - 0 = 36, 38 - 2 = 36, 39 - 3 = 36, 2 + 34 = 36, 4+ 32 = 36, 6 + 30 = 36
Answer: y = -14/9(x + 4)^2 + 7
Step-by-step explanation:
The given roots of the quadratic function is (-1, -7)
The vertex is at (-4, 7)
The formula is
y = a(x - h)^2 + k
The vertex is (h, k)
Comparing with the given vertex, (-4, 7), h = -4 and k = 7
Substituting into the formula
y = a(x - h)^2 + k, it becomes
y = a(x - - 4)^2 + 7
y = a(x + 4)^2 + 7
From the roots given (-1, -7)
x = -1 and y = -7
Substituting x = -1 and y = -7 into the equation,
y = a(x + 4)^2 + 7, it becomes
-7 = a(-1+4)^2 + 7
-7 = a(3^2 ) + 7
- 7 = 9a + 7
-7-7 = 9a
9a = -14
a = -14/9
Substituting a = - 14/9 into the equation, it becomes
y = -14/9(x + 4)^2 + 7
Answer:
(a)80 feet
(b)$120,000
Step-by-step explanation:
<u>Part A</u>
<u>Intersecting Secant-Tangent Theorem</u>
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.
In the attached diagram, the theorem applied is:

Comparing with our diagram:
|AX|=30 feet
|UX|=10 feet
Length of the Bridge,L
Therefore:

900=10(L+10)
L+10=900/10
L+10=90
L=90-10=80 feet
Length of the Bridge=80 feet
<u>Part B</u>
If each foot costs $1500
Cost of the bridge=$1500*80=$120,000