Answer: OPTION B.
Step-by-step explanation:
By definition, reflection is a kind of transformation in which the lengths do not change.
As you can see in the figure, the length of PR is 8 units. Then, keeping on mind the definition, when the triangle PQR was reflected across the y-axis, the triangle P'Q'R' obtained has the same lenghts as the triangle PQR.
Therefore, you can conclude that the lenght P'R' would be: 8 units.
Answer:
Kamira has 9 apples and John has 14 apples
Step-by-step explanation:
first you add 6+4 to get 10
then add 4+10 to get 14
Slope = (y2 - y1)/(x2 - x1) = (-2 - (-2))/(3 - (-6)) = (-2 + 2)/(3 + 6) = 0/9 = 0
Required slope = 0
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Answer:
7 fiction and 23 non- fiction
Step-by-step explanation:
The number of non-fiction read was 5 less than 4 times the number of fiction books.
Assume fiction books are x.
An equation representing this would be:
x + (4x - 5) = 30
5x - 5 = 30
5x = 30 + 5
x = 35 / 5
x = 7 fiction books
Non-fiction books:
= 4x - 5
= 4 * 7 - 5
= 23 non - fiction books
