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Lady_Fox [76]
3 years ago
15

Using the slope​ formula, find the slope of the line through the points (0,0) and (5,15) . Use pencil and paper. Explain how you

can use mental math to find the slope of the line.
Mathematics
1 answer:
torisob [31]3 years ago
7 0

Answer:

Slope = 3

Step-by-step explanation:

The formula for calculating the slope is expressed as:

m = y2-y1/x2-x1

From the coordinate, x1 = 0 y1 =0 x2 = 5, y2 =15

m = 15-0/5-0

m = 15/5

m = 3

Hence the slope is 3

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An inverted pyramid is being filled with water at a constant rate of 25 cubic centimeters per second. The pyramid, at the top, h
UNO [17]

Answer:

\frac{225}{16} cm/s

Step-by-step explanation:

We are given that

\frac{dV}{dt}=25cm^3/s

Side of base=4 cm

l=w=4 cm

Height,h=12 cm

We have to find the rate at which the water level rising when the water level is 4 cm.

Volume of pyramid=\frac{1}{3}lwh=\frac{1}{3}l^2h

\frac{l}{h}=\frac{4}{12}=\frac{1}{3}

l=\frac{1}{3}h

Substitute the value

V=\frac{1}{27}h^3

Differentiate w.r.t t

\frac{dV}{dt}=\frac{3}{27}h^2\frac{dh}{dt}

Substitute the values

25=\frac{1}{9}(4^2)\frac{dh}{dt}

\frac{dh}{dt}=\frac{25\times 9}{16}=\frac{225}{16} cm/s

5 0
3 years ago
Can someone help me answer part b please .As I have no idea what it is ?
Elza [17]

Answer:

(4,1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One number is four less than a second number. Three times the first is 13 more than 4 times the
Gala2k [10]

Answer:

sup

Step-by-step explanation:

5 0
2 years ago
The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
-1 2/3÷(-2 1/5)= in simplest form
soldi70 [24.7K]
> -1 2/3 ÷ (-2 1/5)
> -1.66.. ÷ -2.2
> 0.75454...

Answer: 0.75
4 0
3 years ago
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