Answer:
A
Step-by-step explanation:
Translation means moving so when saying Translate to the right your really moving it to the right. The questions says The shape on left is the original and the right is translated which means the left is the pre-image while right is the image. A is the only answer that doesn’t say the right is the pre image. Also, “ ‘ “ is used to distinguish the pre image coordinates vs the image coords so it easier.
V = 1/3 * (pi) * r^2 * h
(pi) = 3.14
r = 6
h = 3
V = 1/3 * (3.14) * 6^2 * 3
V = 1/3 * 3.14 * 36 * 3
V = 1/3(339.12)
V = 339.12 / 3
V = 113.04 cubic inches <==
The answer to this problem is A.
The distance formula is synonymous to Pythagorean's theorem.
Answer:
a) look at the figure
b) i) x = 2.5 , y = 3
ii) x-intercept is 2.333
iii) y-intercept is 2.8
Step-by-step explanation:
a) The points of the graph f(x) = 3+1/2x - 5 are:
f(-5) = 2.9333
f(-4) = 2.923
f(-3) = 2.909
f(-2) = 2.888
f(-1) = 2.857
f(0) = 2.8
f(1) = 2.666
f(2) = 2
f(3) = 4
f(4) = 3.333
f(5) = 3.2
b)
i) to find the vertical asymptotic put the denominator = 0
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 5 ÷ 2 = 2.5
∴ The equation of the vertical asymptotic is x = 2.5
To find the horizontal asymptotic look at the degree of the numerator and denominator
∵ they are equal f(x) = (6x -14)/(2x - 5) ⇒ 6x ÷ 2x = 3
∴ The equation of the horizontal asymptotic is y = 3
ii) the value of x-intercept means put f(x) = 0
∴3 + 1/2x - 5 = 0 ⇒ 1/2x - 5 = -3 ⇒ -6x + 15 = 1 ⇒ 6x = 14
x = 14/6 = 2.333
iii) The value of y-intercept means x = 0
∴ f(x) = 3 + 1/0 - 5 = 3 + (-0.2) = 2.8