The way that you would do this is by taking
out of the binomial, or as I like to think about it, 'un-distributing'. :p
out of
, you end up with
.
When you take
out of
, you get
.
Put it together, and the solution is
-
.
Hope I helped!!
Answer:
A
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° = 
= 
= 
Multiply both sides by 7, thus
AC = 7sin40° → A
Answer:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
Step-by-step explanation:
Given the coordinate (x, y), if reflected over the y-axis, the resulting coordinate will be (-x, y):
Given the coordinates of the triangle expressed as:
A(1. 5), B(2, 3), and C(5, 4)
When these coordinates are reflected over the y-axis, the results will be:
A'(-1, 5), B'(-2, 3), and C'(-5, 4)
<em>Note that the x coordinates were negated while the y-coordinates remains unchanged</em>
<em></em>
Solve:
<span>-X - Y - Z =-8
- 4X +4Y +5Z=7
2X + 2Z =4 is the same as x + z = 2. Thus, z = 2 - x.
Subst. 2 - x for z in the 1st and second equations.
</span>-X - Y - Z =-8 becomes -x - y - (2 -x) = -8
- 4X +4Y +5Z=7 becomes -4x + 4y + 5(2-x) = 7
Now we have 2 equations in only 2 unknowns. Let's simplify them!
-x - y - 2 + x = -8 which becomes -y = -6, or y = 6
-4x + 4y + 10 - 5x = 7 which becomes -9x + 4y = 7 - 10 = -3
Now substitute 6 for y in this last equation: -9x + 4(6) = -3, or
-9x + 24 = -3, or
-9x = - 27 => x = 3
Then x = 3, y = 6 and z = 2 - x, or z = 2-3, or z = -1.
The solution is (3, 6, -1). Check it!!
