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Molodets [167]
3 years ago
6

Write a linear equation of a line that goes through (8,0) and (-6,7)

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
7 0

Answer:

Line equation: y=−0.5x+4

Slope: -0.5

Intercept: 4

Step-by-step explanation:

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24 miles is 1 gallon so 360 miles is 15 gallons + 24 is 384 miles so they are not equivalent!
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Determine the x- and y-intercepts of the graph ofx−4y=8Then plot the intercepts to graph the equation.
Over [174]

The x-intercept is the point where the graph cuts the x-axis, and the y-intercept is the point where the graph cuts the y-axis.

The x-axis is the line y = 0 and the y-axis is the line x = 0. To find the intercept between each axis and our graph, we just need to evaluate our function at x = 0 and y = 0.

Calculating the x-intercept, we have

\begin{gathered} x-4\cdot0=8 \\ x=8 \end{gathered}

The x-intercept is (8, 0).

Calculating the y-intercept, we have

\begin{gathered} 0-4y=8 \\ y=-\frac{8}{4} \\ y=-2 \end{gathered}

The y-intercept is (0, -2).

8 0
11 months ago
A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a r
Natalka [10]
Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]

the area of each trapezoid is (v(t1)+v(t2))/2 times width

for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8

2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24

3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75

4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7

add them all up
0.8+2.24+1.75+0.7=5.49

5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
8 0
3 years ago
What is the inverse of f(x) = (5x+2)^2 for x > -2/5
Levart [38]

Answer:

it should be -2/5 or \frac{\sqrt{x} }{5}

Step-by-step explanation:

4 0
3 years ago
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