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IgorC [24]
3 years ago
5

What equation represents a line which is perpendicular to the line y=-2/5x + 5

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:  y = 5/2 x + 5 or  more clearly:  y = \frac{5}{2}x+ 5

Step-by-step explanation:  Slope intercept form y = mx + b

m is the slope, b is the y-intercept

To write the equation for a perpendicular line

Both lines could share the y-intercept, (0,5) so the "b" term can be the same. But it may be different. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.

So invert 2/5 to become 5/2 and change the negative sign to positive.

The resulting equation is y = 5x/2 + 5 or  y = 2.5x + 5

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Write an equation in slope-intercept form for the line
Art [367]

Answer:

Step-by-step explanation:

y - 2 = -4(x - 1)

y - 2 = -4x + 4

y = -4x + 6

4 0
3 years ago
If you have driven 225 miles in 3 hours, then how long would it take you to drive 300 miles?
bekas [8.4K]

Answer:How many miles can a car be driven in 3 hours at 50 miles per hour? Under normal circumstances and the generally assumed conditions, the answer is of course (3 hours) * (50 miles / hour) = 150 miles.

3.5 hours

It will take you 3.5 hours to go 280 miles at 80 miles an hour.It travels at constant speed for the remaining time. Let x be the time traveled at the unknown constant speed. The total itme for the trip was 6 hours so: 6 = time traveled at 50 mph + time traveled at 60 mph + time traveled at x mph.

Step-by-step explanation:So you drive 25 miles / hour. then 25 miles/ 1 hour = 225 miles / nb of hours.2 minutes

However, traveling at 30 MPH for 1 mile (1 lap) takes 2 minutes, which means that your average will never be 60MPH.approximately 0.6818 miles per hour.

7 0
2 years ago
3. Consider the linear equation 2y - 3x = 5.
nignag [31]

Answer:

Step-by-step explanation:

a.

2y - 3x = 5

2(-2) - 3x = 5

-4 - 3x = 5

-3x = 9

x = -3

(-3,-2) is another solution

b.

(-1,1)

2y - 3x = 5

2(1) - 3(-1) = 5

2 + 3 = 5

5 = 5

true, the point is a solution to the equation because the equation is true after substituting x and y with the point (-1,1)

(4,1)

2y - 3x = 5

2(1) - 3(4) = 5

2 - 12 = 5

-10 = 5

not true, the point is not a solution to the equation because the equation is not true after substituting x and y with the point (4,1)

c. You can use the points from the given (-1,1) and (-3,-2) to form a line. You then shade whichever half solves the solution using points on the graph.

8 0
2 years ago
Why did I get this question wrong?
lord [1]

Step-by-step explanation:

∫₀³⁰ (r/V C₀ e^(-rt/V)) dt

If u = -rt/V, then du = -r/V dt.

∫ -C₀ e^u du

-C₀ ∫ e^u du

-C₀ e^u + C

-C₀ e^(-rt/V) + C

Evaluate between t=0 and t=30.

-C₀ e^(-30r/V) − -C₀ e^(-0r/V)

-C₀ e^(-30r/V) + C₀

C₀ (-e^(-30r/V) + 1)

I got the same answer.  Try changing the lowercase v to an uppercase V.

4 0
3 years ago
The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?
aleksandr82 [10.1K]

Answer:

b.$25.20

Step-by-step explanation:

Calculation for how much is the warranty

Using this formula

Warranty cost=Extended warranty purchase d price percentage*Purchased Price

Let plug in the formula

Warranty cost =18%*$140

Warranty cost =$25.20

Therefore the warranty cost will be $25.20

5 0
2 years ago
Read 2 more answers
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