Substitute y in 8x - 3y = -22.
8x - 3(5x + 19) = -22
Simplify.
8x - 15x - 57 = -22
Simplify.
-7x - 57 = -22
Add 57 to both sides.
-7x = 35
Divide both sides by -7.
x = -5
Substitute x in y = 5x + 19.
y = 5(-5) + 19
y = -25 + 19
y = -6
The solution is (-5, -6).
Answer:
Average growth= 11.20 feet
Step-by-step explanation:
<u>First, we need to calculate the total growth during those 312 years:</u>
<u></u>
Total growth= 3,512 - 18
Total growth= 3,494 feet
<u>Now, the average growth:</u>
<u>Average growth= total growth / number of years</u>
Average growth= 3,494 / 312
Average growth= 11.20 feet
#1 is 4,-2
#2 is I cnt figure out
#3 is 12,-8
Complete question :
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?
1) 2 1/2 feet
2) 3 feet
4) 5 feet
5) 8 1/2 feet
Answer:
2.5
Step-by-step explanation:
Solving for X in the perimeter equation :
2[(12+2x)+15+2x)]=74
Open the bracket
2[(12 + 2x + 15 + 2x)] = 74
2(27 + 4x) = 74
54 + 8x = 74
8x = 74 - 54
8x = 20
x = 20/8
x = 2.5
Hence, width fo border = 2.5
Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
