Answer:
21, 22, 23
Step-by-step explanation:
Construct equations representing each piece of information.
Three consecutive integers are three numbers in a row, for example, 1, 2 and 3.
Let's let
Integer 1 = X
Integer 2 = Y
Integer 3 = Z
X = (Y + Z) - 24
We also know that
Y = X + 1
and Z = X + 2
We can now sub this information into the first equation. We do this so that we can have only one variable in the equation.
X = (X+1) + (X+2) - 24
now solve for x,
X = 2X + 3 - 24
X = 2X - 21
-X = - 21
X = 21
So, the integers are 21, 22, 23
Answer:
Step-by-step explanation:
National car rental equation is
C = 14d + 0.20m
- where C= total cost, d = the number of days and m = the total number of miles driven.
Answer:
m = 1, b = -5 y = x -5
Step-by-step explanation:
first find the slope or m
slope is change in y over change in x
-8 - (-6) = -2
-3 - (-1) = -2
-2/-2 = 1
m = 1
y = x + b
use one of the points and solve for b
Answer:
(-3, 2)
Step-by-step explanation:
Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2
Answer:
Step-by-step explanation:
Given is the hexagonal pyramid.
We know the radius of the base is same as its side.
<u>Find the base area:</u>
- A = 3√3/2a²
- A = 3√3/2*6² = 54√3
<u>Given the height and radius, find the side of the lateral triangular faces:</u>
Each of 6 triangles have sides 10, 10 and 6 units.
<u>Find the area using heron's formula:</u>
- s = P/2 = (10*2 + 6)/2 = 13
- s - a = s - b = 13 - 10 = 3
- s - c = 13 - 6 = 7
<u>Total surface area:</u>
Correct choice is B
