Solve for x:
10 (x + 2) = 5 (x + 8)
Expand out terms of the left hand side:
10 x + 20 = 5 (x + 8)
Expand out terms of the right hand side:
10 x + 20 = 5 x + 40
Subtract 5 x from both sides:
(10 x - 5 x) + 20 = (5 x - 5 x) + 40
10 x - 5 x = 5 x:
5 x + 20 = (5 x - 5 x) + 40
5 x - 5 x = 0:
5 x + 20 = 40
Subtract 20 from both sides:
5 x + (20 - 20) = 40 - 20
20 - 20 = 0:
5 x = 40 - 20
40 - 20 = 20:
5 x = 20
Divide both sides of 5 x = 20 by 5:
(5 x)/5 = 20/5
5/5 = 1:
x = 20/5
The gcd of 20 and 5 is 5, so 20/5 = (5×4)/(5×1) = 5/5×4 = 4:
Answer: x = 4
Answer:y=16
Step-by-step explanation:
Miles to metres: 5 = 8046.72
8046.72 / 34.7
= 23.19 m/s
Answer:
first question: c. x = 1
6. B. y = -2x - 8
Step-by-step explanation:
first question:
perpendicular means that when it intersects, it makes a right angle.
the equation y = 5 would be parallel to any of the answers with y = ___ because all of those would result in horizontal lines
either of the x = ___ would be perpendicular to y = 5
since it has to pass through the point (1,3) that means that the equation must be x = 1
the equation x = 1 passes through any point beginning with (1 , _)
6.
parallel means that the equations have the same slope. therefore, we can eliminate both A and C
using the given point (-2 , -4),we can plug into the y = mx + b format to solve
m = -2 x = -2 y = -4
-4 = (-2)(-2) + b --> -4 = 4 + b --> b = -8
finally, our equation comes out to be y = -2x - 8