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emmainna [20.7K]
4 years ago
12

What is the resulting equation when the expression for y in the second equation is substituted into the first equation?

Mathematics
1 answer:
Anni [7]4 years ago
5 0

Answer: 3x + 6 -4x = 1

Simplify to -x + 6 = 1 because 3x - 4x = -1x

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Model -5 + (-6) on the number line
vovikov84 [41]

Answer:

-11 on a number line

Step-by-step explanation:

-5 + (-6) / -5 - 6 = -11

3 0
3 years ago
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Solve by Elimination. (10 Points)
Vilka [71]

Make y the subject:

y = 6 - x

Now, use Elimination.

0 = 3x - 3

Divide both sides by 3:

0 = x - 1

So x = 1.

Substitute back into the equation:

y = 6 - (1)

So y = 5.

Hence, the answers are x = 1, y = 5.

3 0
3 years ago
Find the sides of a rectangle having area 125 square units if the sides are in the ratio 5:3.
tatiyna

For this case we have the following data:

Area of the rectangle, A = 125

Relationship of the sides 5: 3

By definition, the area of a rectangle is given by:

A = a * b

Where

  • a: is the longest side.
  • b: it is the side of least length.

If the sides have a 5: 3 ratio, it means:

\frac{a}{b}=\frac{5}{3}

a=\frac{5}{3}b

Substituting in the formula of the area, we have:

125 =a * b\\

125=\frac{5}{3}b*b

Clearing b:

3 * 125 = 5 * b ^ 2

\frac{375}{5}= b ^ 2

75 = b ^ 2

b =\sqrt{75}b = 8.7 units

Substituting and clearing:

125 = a * 8.7

a =\frac{125}{8.7}

a = 14.4units

So, the sides are:

a = 14.4units

b = 8.7units

Answer:

a = 14.4units

b = 8.7units


7 0
3 years ago
What type of triangle is shown below? scalene right acute equilateral
love history [14]

Answer:

Equilateral

Step-by-step explanation:

6 0
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Factor completely. x^3-8x^2-2x+16
amm1812

Step-by-step explanation:

{x}^{3 }  - 8 {x}^{2}  - 2x + 16 \\  =  {x}^{2} (x - 8) - 2(x - 8) \\  = (x - 8)( {x}^{2}  - 2) \\  = (x - 8)( {x}^{2}  -  { \sqrt{2} }^{2} )  \\  = (x - 8)(x +  \sqrt{2} )(x -  \sqrt{2} )

8 0
4 years ago
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