Answer:
Step-by-step explanation:
First step plug the numbers into the equation.
-10/(5+2) = (-10/5) + (-10/2)
Solve both sides of the equation separately.
-10/(5+2) Use distributive property, multiply both 5 and 2 by -10.
= -50 + (-20) = -70
-10/5 + -10/2 Multiply the fractions so they can be added together.
-10/5*2 = -20/10 -10/2*5 = -50/10
-20/10 + -50/10 = -70
Now you have solved both equations and they are both equal to -70, so you have verified that the equations are equal to each other because they both equal -70.
f(g(x)) You plug in g(x) for x
f(x) = 2x + 3
f(g(x)) = 2(g(x)) + 3
f(g(x)) = 2(4x - 5) + 3
f(g(x)) = 8x - 10 + 3
f(g(x)) = 8x - 7
g(f(x)) You plug in f(x) for x
g(x) = 4x - 5
g(f(x)) = 4(f(x)) - 5
g(f(x)) = 4(2x + 3) - 5
g(f(x)) = 8x + 12 - 5
g(f(x)) = 8x + 7
Answer:
B. 1 and -2
Explanation:
First, add up the equations:
x-x+3y+y=4
4y=4
y=1
Now, plug y into any of the original equations above and solve for x:
-x+1=3
-x=2
x=-2
Therefore, the answer is B. 1 and -2
Answer:
A
Step-by-step explanation:
6/3
Angle A and D are similar
Angle B and E are similar
Angle C and F are similar
So this means they have congruent angles, meaning whichever angles are similar the angles will also be similar.
So since angle A is 62 degrees, angle D is 62 degrees too.
Since angle E is 80 degrees, angle B has to be 80 degrees as well.
All triangles add up to 180 degrees, so to find the angle measure of angle C and F, do:
180-(62+80)
180-142
= 38 degrees
So angles C and F are 38 degrees
Conclusion:
angles A and D: 62 degrees
angles B and E: 80 degrees
angles C and F: 38 degrees
