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Alika [10]
3 years ago
6

Find a solution to the linear equation - 2x – 2y = 8 by filling in the boxes with a valid value of x and y.

Mathematics
1 answer:
adoni [48]3 years ago
4 0

Answer:

-2(-4)-2(0)=8

Step-by-step explanation:

Given

2x - 2y = 8

Required

Gaps: -2( )-2( )=8

<em>Fill in in the gaps</em>

The are numerous solutions to this.

One of them is:

Assume y = 0.

So, we have:

-2x - 2*0 = 8

-2x - 0 = 8

-2x = 8

Divide through by -2

\frac{-2x}{-2}= \frac{8}{-2}

x= -4

Fill in the gaps with these values of x and y respectively:

Hence; one solution is: -2(-4)-2(0)=8

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8-10y+12x-15xy factorise
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Answer:

(4 - 5y)(2 + 3x)

Step-by-step explanation:

Given

8 - 10y + 12x - 15xy ( factor the first/second and third/fourth terms )

= 2(4 - 5y) + 3x(4 - 5y) ← factor out (4 - 5y) from each term

= (4 - 5y)(2 + 3x) ← in factored form

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Find the length of the third side. If necessary, round to the nearest tenth.
SVETLANKA909090 [29]

Answer:

Adjacent, b = 5.3 units

Step-by-step explanation:

Let the length of sides of the triangle be;

  • Opposite side = a
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From the right-angle triangle, we can deduce the following data;

Hypotenuse, c = 8

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To find the length of the adjacent (third) side, we would have to apply Pythagorean' theorem.

From Pythagorean theorem;

c² = a² + b²

Substituting into the formula, we have;

8² = 6² + b²

64 = 36 + b²

Rearranging the equation (collecting like terms), we have;

b² = 64 - 36

b² = 28

Taking the square root of both sides, we have;

b = √28

<em>Adjacent, b = 5.3 units</em>

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