Answer:
The line given is equal to y=-x+7 (Through rearranging)
To find the new line, we substitute the given coordinates (5,8) in the equation without the given y-intersect (+7):
-8=-5+c
c=-3
The line parallel to x+y=7 that passes through the point (5,-8) is y=-x-3
Given:
The point is (2,9).
It is translated 4 units to the right and 7 units up.
To find:
The coordinates of new point.
Solution:
The point is translated 4 units to the right and 7 units up. So, the rule of translation is

The point is (2,9). Using the above rule, we get


Therefore, the coordinates of new points are (6,16).
Answer:6 pieces can be cut and there will be no leftover wood
Step-by-step explanation:
Length of the wooden rod= 4 ft.
Length of the pieces of wood to be cut= 2/3 ft.
No. Of pieces can be cut = 4/ (2/3)
= 6 pieces
Hence the no. of pieces are not in decimal that indicates there is no leftover wood
Answer:
por favor, verifique a explicação
Step-by-step explanation:
Queremos escrever cada um dos números como uma multiplicação de seus fatores; Procedemos da seguinte maneira;
a. 51 = 3 * 17
b. 56 = 2 * 2 * 2 * 7
c. 65 = 5 * 13
d. 77 = 7 * 11
e. 48 = 2 * 2 * 2 * 2 * 3
f. 50 = 2 * 5 * 5
g. 80 = 2 * 2 * 2 * 2 * 5
h. 99 = 3 * 3 * 11
i. 108 = 2 * 2 * 3 * 3 * 3
j. 132 = 2 * 2 * 3 * 11
k. 210 = 2 * 3 * 5 * 7
l. 180 = 2 * 2 * 3 * 3 * 5
m. 234 = 2 * 3 * 3 * 13