Answer:
The solution to the system of equations is:
The graph is attached below.
Step-by-step explanation:
Given the system of equations
Let us solve the system of equations using the elimination method
Arrange equation variables for elimination
Multiply y + 2x = 5 by 2: 2y + 4x = 10
subtracting the equations
solve 6x = 18 for x
Divide both sides by 6
simplify
For 2y - 2x = -8 plug in x = 3
Add 6 to both sides
Simplify
Divide both sides by 2
Simplify
Therefore, the solution to the system of equations is:
The graph is attached below.
Answer:
Number line graph with closed circle on 24 and shading to the right.
Step-by-step explanation:
First, the graph has to have a closed circle on only 24.
Since she has $61 and needs at least $85 to buy a skateboard, she needs to have at least $24 saved to buy one.
This means the last 2 answer choices are wrong, because there cannot be shading in between.
The first answer choice is also wrong because it puts a open circle, instead of a closed one, on 24.
So, the correct answer is Number line graph with closed circle on 24 and shading to the right.
<span>The type of transformation that will produce a similar, but not congruent figure is a dilation.
A dilation is a transformation , with center O and a scale factor of k that is not zero, that maps O to itself and any other point P to P'. The center O is a fixed point, P' is the image of P, points O, P and P' are on the same line.
The scale factor of a dilation is the factor with which the image increase or decrease from the pre image, it also gives the factor with which the the distances from O to the vertices of the image are more than the distances from O to the original figure.
For a scale factor between 0 and 1 the image is a shrinking (i.e. the image is smaller that the original figure) while for a scale factor above 1, the image is an enlargement (i.e. the image is bigger that the original figure).</span>