Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros =
and 
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
Answer:
(-6,7) (2,8) (-4,3)
Step-by-step explanation:
Use proportions because we know that the triangles are similar.

Cross multiply.
20x=28×5
x=7
answer: 7
Answer:
Yes it would
Step-by-step explanation:
Lanie's room is in the shape of a parallelogram.
Lanie has a rectangular rug that is 6 feet wide and 10 feet long.
Area of a rectangle = Length × Width
Area of the rectangular rug = 10 feet × 6 feet
= 60 square feet
We are told that:
The floor of her room is shown below and has an area of 108 square feet.
Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.
A - 2 1/2 = 1 1/2
Solve for A by adding 2 1/2 to both sides:
A = 1 1/2 + 2 1/2
A = 4
The answer is c. A = 4
Check: 4 - 2 1/2 = 1 1/2