Answer:
the desired equation is y = -7x + 48
Step-by-step explanation:
As we go from (6, 6) to (8, -8), x (the "run") increases by 2 while y (the "rise") increases by 14. Thus, the slope is m = rise/run = -14/2 = -7.
The slope intercept form of the equation of a straight line is y = mx + b. Here we need to find b.
y = mx + b becomes 6 = -7(6) + b, or 48 = b.
Thus, the desired equation is y = -7x + 48
Answer:
DE = 21
Step-by-step explanation:
Recall: the ratio of the corresponding side lengths of similar triangles are equal
Given that ∆ABC ~ ∆DEF, therefore,
AB/DE = BC/EF = AC/DF
AB = 8.4
DE = x
BC = 10
EF = 25
AC = 16.5
DF = 41.25
Let's find DE using AB/DE = BC/EF. Thus:
8.4/x = 10/25
Cross multiply
x*10 = 25*8.4
10x = 210
Divide both sides by 10
x = 210/10
x = 21
DE = x = 21
The unit rate of the proportional relationship is equal to
the slope of the line.
Slope of the line can be calculated using the equation:
M = ( y1 – y2 ) / ( x1 – x2)
m = ( 0 – 3/8) / ( 0 – ¼)
<span>m = 3/2 </span>
15
60 X 15= 900
Square root of 900= 30
B
In an hour Carlos can install 40 square feet of carpet