Answer: Slope of the line given in the table: m = - 0.25
Y-intercept of the line given in the table: b = -4
Slope of the line given by the equation: m = 1.5
Y-intercept of the line given by the equation: b = 1
Step-by-step explanation: <u>Slope</u> of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:
m = 
Another way of determining the slope is as the form:
y = mx+b
<u>For the table</u>:
As in the table there are only points:
m = 
m = - 0.25
<u>For the function</u>:
The function is:
y = 3/2x + 1
m = 3/2
m = 1.5
<u>Y-intercept</u> is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.
<u>For the table</u>:
y = mx + b
According to the table, when y = -2.5, x = -6
-2.5 = - 0.25. (-6) + b
b = -2.5 - 1.5
b = -4
<u>For the function:</u>
y = 1.5x + 1
b = 1
In conclusion:
- For the table: m = - 0.25 b = - 4
- For the equation: m = 1.5 b = 1
Answer:
The height is 17 ft
Step-by-step explanation:
The surface area of a rectangular prism is
SA = 2(LW +WH + LH)
where L = length, W = width, and H = height
We know SA = 930, L = 12, and W = 9
930 = 2(12*9 +9H + 12H)
Divide each side by 2
930/2 = 2/2(12*9 +9H + 12H)
465 = (12*9 +9H + 12H)
Combine like terms
465 = 84+21H
Subtract 84 from each side
465-84 = 84-84+21H
357 = 21H
Divide by 21
357/21=21H/21
17 = H
The height is 17 ft
Answer:
I believe the answer is A. For you are an as$h0le
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
dog = 35/85 = x/51
=> x = 35 x 51 / 85 = 7 x 51 / 17 = 21
Answer: the number of yards that art bought is 20 3/20 yards
Step-by-step explanation:
Art bought 7 1/4 yd and 12 9/10 yd for two car projects. We would convert both measurements from mixed fraction to improper fraction before adding.
Converting 7 1/4 yd to improper fraction, it becomes 29/4
Converting 12 9/10 yd to improper fraction, it becomes 129/10 yd
Adding both measurements, it becomes
29/4 + 129/10 = (145 + 258)/20 = 403/20yds
Converting to mixed fraction, it becomes
20 3/20 yards
