Line parallel to y=x+11 so slopes are equal then
y= x+b
Passing through the point C (-6;2) then C belongs to this line
yc=xc+b
b= 6+2
b= 8
So y intercept is equal to 8
Answer:
Step-by-step explanation:
<u>Step 1: Multiply inside the parenthesis
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<u>Step 2: Multiply
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Answer:
Answer:
Total number of dimes=6
Total number of nickels=12
Step-by-step explanation:
The expression for the total value of money Jayden has is;
Nickels have a value of= $0.05
Dimes have a value of= $0.10
Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)
where;
Total value=$1.20
Value of a nickel=$0.05
number of nickels=y, but y=2 x
Value of a dime=0.10
number of dimes=x
replacing;
1.20=(0.05×2 x)+(0.1×x)
0.1 x+0.1 x=1.2
0.2 x=1.2
x=1.2/0.2
x=6
y=2 x=2×6=12
Total number of dimes=6
Total number of nickels=12
Answer:
For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.
The new coordinates will be
A(-4,10)
B(4,10)
C(-4,4)
D(4,4)
Step-by-step explanation:
The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).
