Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
Answer:
(8,5)
Step-by-step explanation:
5x - 2y = 30
coordinates are (x,y) so you plug in 8 for x and solve for y
5(8) - 2y = 30
40 - 2y = 30
subtract 40 from both sides to isolate y
-2y = -10
divide both sides by -2 to isolate y
y = 5
Answer:
1:10 p.m.
Step-by-step explanation:
First, add 20 minutes to 8:50 a.m. That would be 9:10 a.m. Then, add the remaining 4 hours to the 9:10 a.m. to get your answer- 1:10 p.m.
Answer:
140yd2
Step-by-step explanation:
This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m