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PilotLPTM [1.2K]
3 years ago
11

The perimeter of a triangle is 45 centimeters. find the lengths of its sides if the longest side is 7 centimeters longer than th

e first shortest side and the remaining side is 2 centimeters longer than the shortest side
Mathematics
1 answer:
dangina [55]3 years ago
3 0
X = length of shortest side
Therefore the remaining sides will be x +2 and x + 7

x + x + 2 + x +7 = 45
3x + 9 = 45
3x = 36
x = 12
x + 2 = 14
x + 7 = 19

The sides are 12, 14, and 19 cm. long. Hope this helped!
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Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x
AURORKA [14]

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!

4 0
3 years ago
X + 8x + 15 help me out with this plz
aleksklad [387]

Answer:

3(3x + 5)

Step-by-step explanation:

x + 8x + 15              Combine liked terms

9x + 15

GCF: 3

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Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
lys-0071 [83]
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

=> 3i - 4j + 6k
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The chemical formula for water is H2<span>O which means that every </span>molecule<span> of water has 2 </span>atoms<span> of hydrogen (H) and one </span>atom<span> of oxygen (O). Here comes the key part. From the Periodic Table of Elements, one sees that one mole of hydrogen </span>atoms weighs <span>1 gram while one mole of oxygen </span>atoms<span> weighs 16 grams.</span>
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2 years ago
(a) Using computer or tables (or see Chapter 7, Section 11), verify that P[infinity] n=1 1/n2 = π2/6=1.6449+, and also verify th
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Answer:

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Step-by-step explanation:

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