Answer:
22.
R= -8, 15
S= -5, 9
T= -8,9
23.
J = 4, 4
K = 4, 3
L = 1, 1
M = 1, 4
Step-by-step explanation:
rotation of -90= y, -x
so R (-7, -5) = -5,7
S (-1, -2) = -2, 1
T (-1, -5) = -5, 1
now we translate 3 left (x-3) and 8 up (y+8)
R (-5, 7) = -8, 15
S (-2, 1) = -5, 9
T (-5, 1) = -8, 9
reflection of x-axis= x, -y
J (-4, 4) = -4, -4
K (-3, 4) = -3, -4
L (-1, 1) = -1, -1
M (-4, 1) = -4, -1
Then a 180° rotation is (-y, -x)
J (-4, -4) = 4, 4
K (-3, -4) = 4, 3
L (-1, -1) = 1, 1
M (-4, -1) = 1, 4
Answer:
Value : c = ad - b
Step-by-step explanation:
Given the equation: Solve for c;
Multiply both sides by d in we get;
subtract b from both sides we have;
Simplify:
ad - b = c
Therefore, the value of c is, ad -b
Y=3x+1
-2x+y=6
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Answer:
3 red peppers and 1 yellow pepper in each basket.
Step-by-step explanation:
We have been given that Casey has 48 peppers and 16 yellow peppers. He wants to put the peppers into baskets so that each basket has the same number of red and yellow peppers. We are asked to find the number of red and yellow papers in each basket.
To solve our given problem, we need to find greatest common factor of 48 and 16.
Prime factorization of 48 is
.
Prime factorization of 16 is
.
Greatest common factor of 48 and 16 would be
.
Therefore, Casey can make 16 baskets with same number of red and yellow peppers.
Now we will divide 48 and 16 by 16 to find number of red peppers and yellow peppers in each basket respectively.


Therefore, there will be 3 red peppers and 1 yellow pepper in each basket.
Average rate of change=slope
f(x)=x-5
f(x) could be subsitututed with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7
if x=1 then
y=1-5
y=-4
the graph of y=x-5 is included in the attachment