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Kaylis [27]
3 years ago
14

What is the slope of the line that passes through the points (-7,-4) and (-11,-2)? In simplest form

Mathematics
1 answer:
Serjik [45]3 years ago
3 0

Answer:

Slope=-1/2

Step-by-step explanation:

Slope =(y2-y1) /(x2-x1)

A(-7,-4).... x1 =-7,y1 =-4

B(-11,-2)... x2=-11,y1=-2

Slope=(-2-(-4))/(-11-(-7))

Slope=(-2+4)/(-11+7)

Slope=2/(-4)

Slope=-1/2

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The water level of a certain body of water is changing at a rate of W(t)=3/4cos(4-t/2) inches per hour, where t represents hours
Leni [432]

Answer:

The answer is below

Step-by-step explanation:

a) The integral \int\limits^{10}_{1 } {W(t)} \, dt means the total change in level of water in inches from 1 am to 10 am. That is the water level change measured in inches between 1 am and 10 am

b) 7 pm is represented as t = 19 hours, while midnight is represented as t = 24 hours, hence the water level change between 7 pm and midnight is:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\

c) Using casio calculator to evaluate the integral gives:

\int\limits^{24}_{19 } {W(t)} \, dt\\\\ = 2.54 inches

D) The total daily change in water level = \int\limits^{24}_{0 } {W(t)} \, dt\\\\ = 0.35 inches

8 0
2 years ago
Five times a number is the same as two times a number added 21
Vera_Pavlovna [14]

Answer:

Our number is 7.

Step-by-step explanation:

We also know that it's 2x + 21 = 5x.

Now we solve.

21 = 5x - 2x

21 = 3x

7 = x

7 0
3 years ago
What is the radius of a circle whose equation is x² + y² + 8x – 6y + 21 = 0? <br><br> __?__ units
BlackZzzverrR [31]
(x+4)^2 + (y-3)^2 = 4

Which means, radius is 2, center is (-4,3)
5 0
4 years ago
Read 2 more answers
Dom josin is paid 18 as a pastry chef for regular 35hours week over rate is 1.5 times regular hourly rate he work 5 overtime hou
Nonamiya [84]

35 times 18 is $630 and 5 hours overtime  times 27 is $135 so you add the 630 and 135 Dom's pay is $765.00

5 0
3 years ago
Select the measures of the angles of a triangle whose angles have measures in the ratio 6:8:10
morpeh [17]

Answer:

45, 60, 75

Step-by-step explanation:

The ratio of the angles are 6:8:10

Multiply by x to get the angle measures

6x, 8x,10x

We know the sum of the angles is 180 for a triangle

6x+8x+10x = 180

Combine like terms

24x = 180

Divide each side by 24

24x/24 = 180/24

x =7.5

Each angle is

6x = 6(7.5) =45

8x = 8(7.5) =60

10x = 10*7.5 = 75

4 0
3 years ago
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