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JulsSmile [24]
3 years ago
12

How do you solve the system 5x-3y=16 and 3x-5y=-4?

Mathematics
1 answer:
pogonyaev3 years ago
8 0

5x-3y=16

3x-5y=-4

Multiply the first equation by 3; the second one by 5

15x-9y=48

15x-25y=-20

Eq 1 - Eq 2:

-9y+25y=48+20=68

16y=68

4y=17

y=17/4

5x-3y=16

5x-3×17/4=16

5x=16+51/4=(64+51)/4=115/4

x=115/4/5=23/4

x=23/4

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Given a right triangle find the measure of all the angles of one angle is a right angle in the measure of the second angle is si
vfiekz [6]

Answer:

12°, 78°, 90°

Step-by-step explanation:

let the third angle be x then the second angle is 7x - 6

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 7x - 6 + 90 = 180, that is

8x + 84 = 180 ( subtract 84 from both sides )

8x = 96 ( divide both sides by 8 )

x = 12

Thus second angle = 12° and third = 7(12) - 6 = 84 - 6 = 78°

The 3 angles are 12°, 78° and 90°

5 0
3 years ago
Read 2 more answers
William runs at a constant speed of 8 miles per hour. Running at this constant speed, it takes William 75 seconds to run from hi
pav-90 [236]

Answer:

0.16 miles

Step-by-step explanation:

5 0
3 years ago
G(x) = 3x + 1; Find g(-8)
gregori [183]

Answer:

g(-8) = -23

Step-by-step explanation:

g(x) = 3x + 1    <em>Plug in g(-8)</em>

g(-8) = 3(-8) + 1  <em>Multiply 3 by -8</em>

g(-8) = -24 + 1   <em>Add 1 to -24</em>

g(-8) = -23

5 0
3 years ago
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If you divide 6! by 4! you are evaluating P(6, 4)
Aleks [24]
When you're evaluating P(n, k), you are essentially saying there are n objects and you will need to arrange them in k spaces.

This is essentially the same as: ^{6}P_4, which follows the formula:

P(6, 4) = ^{6}P_4 = \frac{6!}{(6 - 4)!} = \frac{6!}{2!}
If you're dividing by 4!, you are evaluating P(6, 2)
8 0
4 years ago
Can anyone help? Please.
lisabon 2012 [21]

Answer:

29.9

Step-by-step explanation:

Divide the earnings by the time.

179.4/6 = 29.9

418.6/14 = 29.9

867.1/29 = 29.9

3 0
3 years ago
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