Answer:
A,B
Step-by-step explanation:
4(2x+y)
4•2x + 4•y
8x+4y
2(4x+2y)
2•4x + 2•2y
8x+4y
Answer:
Option C is correct.
She is not correct as she use the wrong y intercepts when graphing the equations.
Step-by-step explanation:
Given the system of equations:
.....[1]
. .....[2]
equate these two equations we get;

Add 5 to both sides we get;

Add 2x to both sides we have;

Multiply both sides by 3 we get;
8x = 24
Divide both sides by 8 we get;
x = 3
Substitute the value of x in [2] we have;
y = -2(3)+3 = -6+3
Simplify:
y = -3
Therefore, the correct solution for this given system of equation is (3, -3)
You can see the graph of these equations below.
Answer: ( -0.731, 0.682)
Step-by-step explanation:
The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.
Knowing the angle, is really simple to do it.
First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:
x = R*cos(A)
y = R*sin(A)
And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°
x = 1*cos(137°) = -0.731
y = 1*sin(137°) = 0.682
Then the unit vector is: ( -0.731, 0.682)
I don't really like these algebra problems which pretend to be geometry.
The bisector makes two equal angles, so
x/2 + 17 = x - 33
50 = (1/2) x
x = 100
That means ABC = 100/2 + 17 = 67 degrees
CBD = 100 - 33 = 67 degrees, equal so that checks
We're asked for ABC which is 67 + 67 = 134 degrees
Answer: 134°