Answer:
Slope = 6
Step-by-step explanation:
Reading your description carefully, the equation of line has been given to be
When we compare this with the standard form of a straight line
We immediately see that the slope or gradient m = 6.
Alternatively, when we consider the coordinates of the points mentioned, we have
(1, 5) ; (0, -1) ; (-1, -7)
We can take any two points out of these three and calculate the slope using the formula
For example, let us consider the points (1, 5) and (-1, -7)
Here x₁ = 1; x₂ = -1 and y₁ = 5; y₂ = -7
Plugging the numbers in the above formula, we have
This agrees with what we calculated directly from the equation of the line!
Hence, slope of the line on the graph = 6
Answer:
Step-by-step explanation:
r = d/2
r = 4/2
r = 2
pi = 3.14
Circumference = 2 * pi * r
Circumference = 2 * 3.14 * 2
Circumference = 12.56
Area = pi r^2
Area = 3.14 * 2^2
Area = 4 * 3.14
Area = 12.56
Answer:
A. 3.2% faster
B. 3.3% slower
C. 103.3%
Step-by-step explanation:
In order to find this out, we need to take the differences and divide them by the comparative time. So, in the first one, we take the difference (.32) and divide it by Hines time.
.32/9.63 = 3.2%
In the second, we take the difference and divide by Bolt's time.
.32/9.95 = 3.3%
And finally, in the last one, we take Hines' time and divide by Bolt's.
9.95/9.63 = 103.3%
Answer:
(9, 6)
Step-by-step explanation:
add equations together: (x + y = 15) + (x - y = 3) --> x + x + y - y = 15 + 3 --> 2x = 18
isolate the variable: 2x/2 = 18/2 --> x = 9, so the x-coordinate is 9
substitute 9 in x's place in one of the equations: 9 + y = 15
solve for y: y = 15 - 9 --> y = 6, so the y-coordinate is 6
combine x and y coordinates together: (9, 6)
