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Helen [10]
3 years ago
10

Find the value of x or y so that the line through the points has the given slope (x, -7) and (3, 3); slope:1

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

The answer is x = -7.

Step-by-step explanation:

In order to find this, we need to start by using the slope formula with all of the information that we have.

m(slope) = (y2 - y1)/(x2 - x1)

1 = (3 - -7)/(3 - x)

1 = 10/(3 - x)

Now we can use cross multiplication to solve for x.

1(3 -x) = 1(10)

3 - x = 10

-x = 7

x = -7

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3 years ago
A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height
Lady_Fox [76]

Problem

A food company distributes its tomato soup in two cans of different sizes. For the larger can, both the diameter and the height have been increased by 15%.

By what percentage does the volume increase from the smaller can to the larger can? Round your answer to the nearest percent. ​

Solution

the volume of a cylinder is given by:

V=\pi r^2h

We know that the diameter=radius and the height are increased by 15% so then the new volume can be calculated on this way:

V=\pi(1.15r)^2\cdot(1.15h)=1.15^2\cdot1.15\cdot\pi\cdot r^2\cdot h=1.52\pi r^2h

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5 0
1 year ago
A. 5x - 2 = 8<br>b. 4x - 3= 2x + 9<br>C. 6x + 3 = 2x + 8​
Elena L [17]

Answer:

a) x=2

b)x=12

c)x=5/4

Step-by-step explanation:

a)5x-2=8

5x=8+2

5x=10

x=2

b)4x-3=2x+9

4x-2x=9+3

2x=12

x=6

c)6x+3=2x+8

6x-2x=8-3

4x=5

x=5/4

Proof:

a)5x-2=8

5(2)-2=8

10-2=8

8=8

b)4x-3=2x+9

4(12)-3=2(12)+9

48-3=24+9

45=45

c)6x+3=2x+8

6(5/4)+3=2(5/4)+8

30/4+3=10/4+8

15/2+3=5/2+8

10.5=10.5

Hope this helps ;) ❤❤❤

4 0
3 years ago
- 7.5 divided by - 2.5
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------------
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