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Travka [436]
3 years ago
14

Solve the systems for x and y. x+y=a x+b=y

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

x = a/2 - b/2

y = a/2 + b/2

Step-by-step explanation:

x + y = a

x + b = y

x - y = -b

x + y = a

x - y = -b

________--

2y = a + b

y = a/2 + b/2

x + y = a

x - y = -b

________+

2x = a - b

x = a/2 - b/2

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olya-2409 [2.1K]

lx-1 l ≤ 13

There are 2 solutions:

x-1 ≤ 13

and

x-1 ≥ -13

Solve each one

x-1 ≤ 13

add 1 to both sides of the equation

x-1+1≤ 13+1

x ≤ 14

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Add 1 to both sides:

x-1+1 ≥-13+1

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Solve using substitution-2x-y=-9. 5x-2y=18
Sunny_sXe [5.5K]
Equation 1)  -2x-y=-9
Equation 2)  5x-2y=18

Multiply all of equation 1 by 2, so that both equations have (2y) in them.

1)  2(-2x-y=-9)

Simplify.

1)  -4x-2y=-18
2)  5x-2y=18

Subtract equations with each other.

-9x=-36

Divide both sides by -9.

x=4

Plug in 4 for (x) into equation 1.

-2x-y=-9

-2(4)-y=-9

Simplify.

-8-y=-9

Add 8 to both sides.

-y=-1

Divide both sides by -1.

y=1

(4, 1)

~Hope I helped!~

5 0
3 years ago
In slope intercept form (y=mx+b) what is the "m"?<br> Pls help
Brut [27]

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The base of the isosceles triangle is five times the height<br><br> Find the exact value of cot ø
Vika [28.1K]

Answer:

The exact value of cot(∅) is 2.5

Step-by-step explanation:

The picture of the question in the attached figure

we know that

An isosceles triangle has two equal sides and two equal interior angles

In his problem

AB=BC

m\angle BAC=m\angle ACB=\phi^o

In the right triangle ABD

cot(\phi)=\frac{AD}{BD} ---> adjacent side angle ∅ divided by the opposite side angle ∅

we have

The base of the isosceles triangle is five times the height

so

b=5h

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BD=h\ units

substitute

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8 0
3 years ago
10. A student studied 18 hours in 7 days, if he wants to study average 2 hours each day for 14 days. How many hours he needs to
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