Answer:
<h3> -8(2x +x )/-2y = - 30</h3>
Step-by-step explanation:
x=-5, y=2 and z=0
-8(2x +x )/-2y =(-8•3x)/-2y = [-8•3(-5)] / (-2•2) = 120/(-4) =-30
Commutative property because 6•4=4•6 is communative property
Answer:
- 1) y = 13.5x + 1
- 2) y = 12x + 4
- 3) Sam won the race
Step-by-step explanation:
<h3>Part 1</h3>
Sam's car is 1 ft in front of the start line and its speed is 13.5 ft/s.
<u>The distance after x seconds is:</u>
<h3>Part 2</h3>
Alice's car the speed 12 ft/s and after 3 seconds is 40 ft in front of the start line.
<u>The distance after x seconds is:</u>
- y = 12(x - 3) + 40 = 12x - 36 + 40 = 12x + 4
<h3>Part 3</h3>
<u>After 15 seconds the distance from the start line is:</u>
- Sam ⇒ y = 13.5*15 + 1 = 203.5 ft
- Alice ⇒ y = 12*15 + 4 = 184 ft
As we see Sam is further from the start line than Alice
Answer:
Step-by-step explanation:
Subtract 2x
from both sides of the equation.
y=8−2x
x−y=2
Replace all occurrences of y
in x−y=2 with 8−2x
.
y=8−2x
x−(8−2x)=2
Simplify the left side.
Tap for more steps...
y=8−2x
3x−8=2
Solve for x
in the second equation.
Tap for more steps...
y=8−2x
x=103
Replace all occurrences of x
in y=8−2x with 103
.
y=8−2(103)
x=103
Simplify 8−2(103)
.
Tap for more steps...
y=43
x=103
The solution to the system of equations can be represented as a point.
(103,43)
Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m