Answer:
Figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form image quadrilateral P"Q"R"S".
Step-by-step explanation:
From the graph attached,
Coordinates of point T' → (2, -2)
Coordinates of point T'' → (3, -3)
As it's clear form the picture, quadrilateral P'Q'R'S' has been dilated to form the image quadrilateral P"Q"R"S" by a scale factor = k
By the rule,
T'(x, y) → T"(kx, ky)
Therefore, T'(2, -2) → T"(2k, -2k)
T"(2k, -2k) → T"(3, -3)
By comparing x-coordinates,
2k = 3
k =
k = 1.5
Therefore, figure P'Q'R'S' has been dilated by a scale factor = 1.5 to form quadrilateral P"Q"R"S".
Answer: The slope is
Step-by-step explanation:
The slope of a line can be calculated with the following formula:
Observe the graph provided in the exercise.
You can notice that these two points are on the line:
and
Then you can identify that:
Knowing these coordinates, you can substitute values into the formula for calculate the slope.
Then, you get that the slope of the graph is:
Let, price of fudge and gum is x and y respectively.
Converting given statements into mathematical equation.
We get :
5x + 3y = 5.70 ....1)
2x + 10y = 3.60 ....2)
Solving equation 1 and 2, we get :
x = $1.05 .
y = $0.15 .
Price of buying 20 pieces of fudge and 20 pieces of bubble gum is :
P = 20( 1.05 ) + 20( 0.15 )
P = $24
Hence, this is the required solution.
Answer:
Justification of step A: common denominator
Justification of step B: multliplication property of equality
Step-by-step explanation:
i got it right.
Answer:
v = -15
Step-by-step explanation:
-25 = v - 10 (add 25 to both sides)
0 = v - 10 + 25
0 = v + 15 (subtract 15 from both sides)
0 - 15 = v + 15 - 15
-15 = v
v = -15
Hope this helps.