Answer:
B
Step-by-step explanation:
Given
y = (x - 3)(x - 13)
Find the zeros by setting y = 0, that is
(x - 3)(x - 13) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 13 - 0 ⇒ x = 13
The vertex lies on the axis of symmetry which is located at the midpoint of the zeros, thus the x- coordinate of the vertex is
=
=
= 8
Substitute x = 8 into the equation for the corresponding y- coordinate
y = (8 - 3)(8 - 13) = 5(- 5) = - 25
vertex = (8, - 25 ) = (u, v) → with v = - 25 → B
Answer:
8.333
Step-by-step explanation:
50 (times)/ 6 (amount of numbers possible on cube)
Answer:
base = 17.71 ft
height = 9.71ft
Step-by-step explanation:
Since we are not given the base and heigh directly, to answer this question we need two equations: (1) one to express the area (A) of a triangle, and (2) one describing the fact that height (h) and the base (b) lengths are related. Setting up and solving the system of these two equations for base leads to a quadratic equation:
![\frac{1}{2}b\cdot h =A=86 ft^2\\h = b-8\\\rightarrow\\\frac{1}{2}b(b-8)=\frac{1}{2}b^2-4b=86\\\frac{1}{2}b^2-4b-86=0\implies\\b=4\pm2\sqrt{47}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Db%5Ccdot%20h%20%3DA%3D86%20ft%5E2%5C%5Ch%20%3D%20b-8%5C%5C%5Crightarrow%5C%5C%5Cfrac%7B1%7D%7B2%7Db%28b-8%29%3D%5Cfrac%7B1%7D%7B2%7Db%5E2-4b%3D86%5C%5C%5Cfrac%7B1%7D%7B2%7Db%5E2-4b-86%3D0%5Cimplies%5C%5Cb%3D4%5Cpm2%5Csqrt%7B47%7D)
which has two solutions but one is negative, i.e., not applicable. The good solution for base is
.
Since we know the height is 8 ft less than the base, the height must be 9.71ft
<h2>MISSING NUMBER</h2>
Given:
Choices:
- a. percent
- b. rate
- c. base
- d. percentage
Answer:
- The <u>rate</u> is the missing term. Thus, option <u>b. rate</u> is the best answer.
Solving:
Rate = ![\red \sf \red{ \: 50\%}](https://tex.z-dn.net/?f=%5Cred%20%5Csf%20%5Cred%7B%20%5C%3A%2050%5C%25%7D)
Base = 50
Percentage = 25
Just convert the number into a percent since rate is the missing term. Always remember that rate have a percent sign (%).
![\small\sf{Good\:luck\:in\:your\: studies!}](https://tex.z-dn.net/?f=%5Csmall%5Csf%7BGood%5C%3Aluck%5C%3Ain%5C%3Ayour%5C%3A%20studies%21%7D)