Answer: (1,-2), (1, 3)
Step-by-step explanation:y=2x+1
Y=2(1)+1
Y=2+1
Y=3
3=2x+1
-1 -1
2=2x
_ _
2 2
X= 1 new you got your perpendicular line
So answer is (1, -2), (1, 3)
3x - y = 0 ⇒ 2(3x - y = 0 ) ⇒ 6x - 2y = 0
5x + 2y = 22 ⇒ 1(5x + 2y = 22) ⇒ <u>5x + 2y</u> = <u>22 </u>
11x = 22
x = 2
3x - y = 0 ⇒ 3(2) - y = 0 ⇒ 6 - y = 0 ⇒ 6 = y
Answer: x=2, y=6
Answer:
slope is m
y = mx + b is your standard formula
slope = -3
Step-by-step explanation:
Its C. 113 ft because the height and the perimider of the trinagle
Answer:
27
Step-by-step explanation:
Let <em>g </em>be Gabrielle's age and <em>m </em>be Mikhail's age.
We can turn the statements the problem gives us into mathematical expressions to help us solve.
Gabrielle's age is two times Mikhail's age:
<em>g </em>= 2<em>m</em>
The sum of their ages is 81:
<em>g </em>+ <em>m </em>= 81
This gives us a system of equations that will allow us to solve for Gabrielle's age.
<em>g </em>+ <em>m </em>= 81
(2<em>m</em>)<em> </em>+ <em>m </em>= 81
3<em>m </em>= 81
<em>m</em> = 
<em>m </em>= 27
If we need to solve for Gabrielle's age, we can do the following.
<em>g </em>= 2<em>m</em>
2(27)<em> </em>= <em>g</em>
54 = <em>g</em>
g = 54
Mikhail's age is 27.
Gabrielle's age is 54.