Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula
The product of slopes of two perpendicular lines is -1.
Slope of GR is
Slope of RT is
Product of slopes of GR and RT is
Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule
Then the coordinates of T' are
Slope of RT' is
Product of slopes of GR and RT' is
Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
Answer:
D. 80
Step-by-step explanation:
multiply 40 by 2 cause its 50 percent
Answer:
k = 4
Step-by-step explanation:
f(x)=5x+k
Let x =2
f(2) = 5*2 +k
f(2) = 10+k
We know f(2) = 14
14 = 10+k
Subtract 10 from each side
14-10 = 10+k-10
4 =k
Answer: -3x + 4, (2,-2)
Step-by-step explanation:
First, you want to get y alone on one side.
3x + y = 4
-4 -4 subtract 4 to get it on the left side.
-y -y subtract y to get it alone on the right side.
Your'e left with 3x - 4 = -y divide the whole equation by -1 do get a pos y
You then have y = -3x + 4. That's the first part of your answer.
To get the second part plug in (-3x + 4) into the y of the first equation, this is the substitution part.
-2x + 5(-3x+4) =-14 distribute the 5... -2x - 15x +20 = -14
add your like terms ( x and x) -17x + 20 = -14
Isolate your x by subtracting the 20, both sides -20 -20
-17x = -34 divide both side by 17 you get x = 2 (---- this is your first coordinate in the pair in your answer. To get the y do the same but solve for y instead of x.
