Answer: (-24, -8)
Explanation: Multiply the coordinates of the given point by the scale factor 4. This only works if the center of dilation is the origin.
Answer:
y = - 2x + 110
Step-by-step explanation:
The equation of a line in slope- intercept form is
y + mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 110) and (x₂, y₂ ) = (20, 70) ← 2 points on the line
m =
=
= - 2
the line crosses the y- axis at (0, 110) ⇒ c = 110
y = - 2x + 110 ← equation of line
To do this, multiply 3/4 by 1/2 and you end up with 3/8 lb. or 0.375 lb.
Answer:
No
Step-by-step explanation:
In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of
9.75 - 8.50 = 1.25 dollar change
1.25 / 8.50 = 0.147 or a 14.7% increase
Between the second and third year, there was a change of
12 - 9.75 = 2.25 dollar change
2.25 / 9.75 = 0.23 or 23% increase
Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.
Answer:
1. Area of rectangular rug is 
2. Area of triangular room is 
Step-by-step explanation:
This problem bothers on the mensuration of flat shapes, rectangle and triangle.
step one
let us start by solving for the area of the rectangular rug
given data
Area A = ?
Length l = 11 ft
Width w= 10 ft
we know that the area of a rectangle is expressed as

substituting our given data we have

step two
let us solve for the area of the triangular room
given data
Area A = ?
base b = 30 ft
height h= 22 ft
we know that the area of a triangle is expressed as

substituting our given data we have
