Answer:
No, because the reflection of ABC is not congruent to A’B’C’.
Step-by-step explanation:
we know that
The rule of the reflection across the line y=x is equal to
(x,y) -------> (y,x)
so
A(-6,6) -------> A'(6,-6) ----> is ok
B(-3,3) ------> B'(3,-3) ----> is ok
C(-8,2) ------> C'(8,-2) ----> is not ok ( is not a reflection acros the line y=x)
therefore
The triangles are no t congruent, because the reflection of ABC is not congruent to A’B’C’
Answer:
D. y=-3x+8
Step-by-step explanation:
first, get the 12x on the other side of the equation
12x+4y-12x=32-12x
4y=-12x+32
divide the equation by four
y=-3x+8
Hope this helps!
Answer:
84+28w
hope this helps
have a good day :)
Step-by-step explanation:
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: 
where 
is the slope and 
is the y-intercept
<u>1) Solve for the slope (</u><u>)</u>
The equation to solve for the slope is 
when the two points are 
and 
. Plug the coordinates of these points into the equation and solve for .
Then, plug into .
<u>1) Solve for the y-intercept (</u><u>)</u>
Then, take any of the given points and plug it into along with the slope. Isolate to get the y-intercept. Then, plug both m and b back into to get your final equation.
I hope this helps!
Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
