Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
The answer would be 4 divided by 2/3 = 6 tiles
For this case we have that the volume of the figure is composed of the volume of a prism and the volume of a pyramid:
The volume of the prism is given by:
Where:
: It is the area of the base
h: It's the height
Substituting:
The volume of the pyramid is given by:
Where:
It is the area of the base
h: It's the height
Substituting:
We add and we have:
ANswer:
Option D
Answer:
m<G = 55°
Step-by-step explanation:
m<G = (1/2)[m(arc)LE - m(arc)HF]
m<G = (1/2)[150° - 40°)
m<G = 110°/2
m<G = 55°
