Answer:
solution given:
y=3(19)-5=57-5=52
y=2(19)+14=2×19+14=38+14=52
:.
y=52
Answer:
b 97 ft²
Step-by-step explanation:
he needs to paint the big rectangular wall minus the small rectangular window.
so, the painting area is
13×8 - (3 1/2)×2 = 104 - (7/2)×2 = 104 - 7 = 97 ft²
Answer:
The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that,
DE bisects OF, then OB is equal to BF,
So, OB is ½r
Also, DB is equal to BE, so BE = DB = 6 in
So, applying Pythagoras theorem to triangle OBE
OB² + BE² = OE²
(½r)² + 6² = r²
¼r² + 36 = r²
Multiply through by 4
r² + 144 = 4r²
144 = 4r² - r²
144 = 3r²
r² = 144 / 3
r² = 48
r = √48
r = √16×3
r = 4√3 inches
r = 6.93 inches.
So, the radius of the circle is 4√3 inches
Solve for X on both equations
2x - 2 < -12
Add two on both sides
2x < -10
Divide by two on both sides
2 < -5
2x + 3 > 7
Subtract three on both sides
2x > 4
Divide by two on both sides
x > 2
A. x < -5 or x > 2