Step-by-step explanation:
(x, y) -> (x+3, y+4)
that is what 3 units to the right (3 units into the outsource x direction) and 4 units up (4 units into the posits y directing) mean.
so, all points go through this translation
(1, 7) -> (4, 11)
(-4, -2) -> (-1, 2)
(-3, 5) -> (0, 9)
Answer:
See below
Step-by-step explanation:
Use 5 for "x" or "a number" and see if the inequality is true.
a) =3 < 5+11 < 2 . . . . false. 16 is not less than 2
b) 7·5 ≥ 35 or 4·5 < -12 . . . . true. 35 = 35
c) -7 + 2·5 = 3 is at most 2 . . . . false. 3 > 2
d) 5·5 +3 = 28 is between 2 and 30 . . . . true.
5. A. (4, -2)
6. C. (x, y) — (x, -y + 5)
Step-by-step explanation:
5. For the formula y = x, the x and y coordinates get swapped.
M = (-2, 4) — M’ = (4, -2)
6. If the coordinates get reflected across the x-axis, the y coordinates become negative.
(x, y) — (x, -y)
Now that the coordinates are reflected, you go 5 units up (+ 5) to get to the reflection of the coordinates if it was 5 units down before it reflected across the x-axis (- 5).
Ex. 1, 6 gets reflected across the x-axis and moved 5 units up. It’s reflection would be equivalent to (1, -1) because it moved 5 units down (1, 1) then reflected across the x-axis (1, -1).
(x, y - 5) reflected across the x-axis is equivalent to (x, -y + 5)
Answer: the missing measure on the big rectangle is 30 feet.
Step-by-step explanation:
If the small rectangle was enlarged to create the big rectangle, it means that they are similar. This also means that the dimensions of the larger rectangle different form the dimensions of the smaller rectangle by a constant ratio or factor.
The smaller rectangle has a length of 12 feet and width of 2 feet. The larger rectangle has a length of x feet and width of 5 feet. This means that
x/12 = 5/2
Cross multiplying, it becomes
2x = 12 × 5 = 60
x = 60/2 = 30
