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3 years ago

5x + 6y = 32

Mathematics

1 answer:

velikii [3]3 years ago

3 0

Answer:

The variable y is eliminated.

Step-by-step explanation:

To add a system of equations, we add the common terms. x with x, y with y and values with values.

In this question:

5x + 6y = 32

5x – 6y = 8

Adding:

5x + 5x + 6y - 6y = 32 + 8

10x = 40

So the variable y is eliminated.

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Find the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5).

Vilka [71]

Answer: The coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are $(4,-\dfrac{1}{2})$ .

Step-by-step explanation:

We know that the coordinates of the midpoint(x,y) of line joining A(a,b) and B(c,d) is given by :-

$(x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})$ .....(i)

Given : The coordinates of endpoints of CM are C(1, -6) and M(7,5)

Then , by using (i) , the coordinates of the midpoint of CM would be :-

$(\dfrac{1+7}{2},\dfrac{-6+5}{2})\\\\=(\dfrac{8}{2},\dfrac{-1}{2})\\\\=(4,-\dfrac{1}{2})$

Hence, the coordinates of the midpoint of CM with endpoints C(1, -6) and M(7,5) are $(4,-\dfrac{1}{2})$ .

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3 years ago

Sets E and B are defined as follows

Ilya [14]

Answer:

Intersection is what they both have in common.

In this case intersection of E and B is 3 and 8.

While the union is both of them added together.

Hope this helps

Step-by-step explanation:

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4 years ago

The quantity, y, varies directly as x. When y=10 x=6

neonofarm [45]

Answer:

y = $\frac{5}{3}$ x

Step-by-step explanation:

given y varies directly as x, the the equation relating them is

y = kx ← k is the constant of variation

to find k use the given condition y = 10 when x = 6, hence

k = $\frac{y}{x}$ = $\frac{10}{6}$ = $\frac{5}{3}$

y = $\frac{5}{3}$ x ← is the equation

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4 years ago

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Answer:

Step-by-step explanation:

(1,2) ; (3,2)

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4 years ago

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