Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
Answer:
8 3/4 inches
Step-by-step explanation:
Total length of the rod = 24 1/2 inches
Carlos = 8 3/4 inches
Amanda = 6 3/8 inches
length of the rod remaining = Total length - ( Carlos + Amanda)
= 24 1/2 - (8 3/4 + 6 3/8)
= 49/2 - (35/4 + 51/8)
= 49/2 - ( 75+51/8)
= 49/2 - 126/8
= 196-126/8
= 70/8
= 8 6/8 inches
= 8 3/4 inches
Length of rod remaining = 8 3/4 inches
Answer:
x < 7
Step-by-step explanation:
the domain is the number range or interval of x the function is defined for to generate a y-value.
the graph shows that the y-values continue with x-values to the right up to but not including 7 (the empty dot says "excluding"). and with x- values to the left to negative infinity.
x=-1 is not a problem, because while for the left part of the function it is not included, but for the right part it is.
so, it is fully defined for all x < 7.
Answer:
29
Step-by-step explanation:
Assume the number as x
2x - 9 = 49
2x = 58
x = 29
The average price of such a house is
(97.86/ft²)×(1400 ft²) = 97.86×1400 = 137,004
