Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (6, a ) and (x₂, y₂ ) = (9, - 4 )
m = 
= 
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
2x - 3y = 6 ( subtract 2x from both sides )
- 3y = - 2x + 6 ( divide through by - 3 )
y = 
x - 2 ← in slope- intercept form
with slope m =
Parallel lines have equal slopes , then
= , so
- 4 - a = 2 ( add 4 to both sides )
-a = 6 ( multiply both sides by - 1 )
a = - 6 → A
F (x) -f(x) add the negative on the outside of the F
Hint: The rule of the 45-45-90 triangle is that both sides are x and the hypotenuse is x√2.
x = 5√2
To find the hypotenuse you multiply x by √2.
5√2 (√2)
5√4
5 (2)
10
The hypotenuse is 10.
Answer:
Q#9: A 27/2
Q#10: A 9/2
Step-by-step explanation:
<u>Q#9:</u>
these triangles are similar so we have to take the ratios:
8/(12+8)=8/20
8/20=9/(9+x)
8*(9+x)=20*9
72 +8x=180
108=8x
x=27/2
<u>Q#10:</u>
6/10=x/(12-x)
6(12-x)=10x
72-6x=10x
72=16x
x=9/2
