Answer:
Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.
Step-by-step explanation:
A. (-2,-3)
3 * (-2) - 4 * (-3) = 21
-6 + 12 = 21
6 = 21 <u>not equal</u>
B. (0,7)
3 * 0 - 4 * 7 = 21
0 - 28 = 21
- 28 = 21 <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u>
C. (7,0)
3 * 7 - 4 * 0 = 21
21 - 0 = 21
21 = 21 <u>equal</u>
Answer is A
if x+y=5
y= -x+5
2x + (-x+5) =-2
2x -x +5 = -2
x+5 = -2
x=-7
B) 12 inches would be the most accurate measurement.
Since the ruler is exactly 1 foot long, the most accurate measurement is 12 inches. 12.005 is a tempting answer, since it is the most specific/exact, but 12 inches is the most accurate, since this is equal to exactly one foot.
Answer:
= 124 ft
Step-by-step explanation:
Perimeter of a rectangle is
P = 2(l+w)
We know the length is 13 and the width is 49
P = 2(13+49)
=2(62)
= 124 ft
Answer:
14.4 lb
Step-by-step explanation:
In a see-saw in equilibrium, the torque generated by one side needs to be the same generated in the other side. The torque is calculated by the product between the mass and the distance to the center of the see-saw.
The torque generated by the child is:
T1 = 60 * 3 = 180 lb*feet
So, the torque generated by the weight needs to be higher than T1 in order to lift the child.
The lowest mass is calculated when the mass is in the maximum distance, that is, 12.5 feet from the center.
So, we have that:
T2 = 180 = mass * 12.5
mass = 180/12.5 = 14.4 lb
So the lowest weight is 14.4 lb
