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3 years ago

Solve using elimination: x = y and 3x + 7y = 10

Mathematics

1 answer:

RUDIKE [14]3 years ago

5 0

3(1) + 7(1) =10
x=1
y=1

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Need help with this math question

anastassius [24]

Answer:

The vertex is: $(6, 8)$

Step-by-step explanation:

First solve the equation for the variable y

$x^2-4y-12x+68=0$

Add 4y on both sides of the equation

$4y=x^2-4y+4y-12x+68$

$4y=x^2-12x+68$

Notice that now the equation has the general form of a parabola

$ax^2 +bx +c$

In this case

$a=1\\b=-12\\c=68$

Add $(\frac{b}{2}) ^ 2$ and subtract $(\frac{b}{2}) ^ 2$ on the right side of the equation

$(\frac{b}{2}) ^ 2=(\frac{-12}{2}) ^ 2\\\\(\frac{b}{2}) ^ 2=(-6) ^ 2\\\\(\frac{b}{2}) ^ 2=36$

$4y=(x^2-12x+36)-36+68$

Factor the expression that is inside the parentheses

$4y=(x-6)^2+32$

Divide both sides of the equality between 4

$\frac{4}{4}y=\frac{1}{4}(x-6)^2+\frac{32}{4}$

$y=\frac{1}{4}(x-6)^2+8$

For an equation of the form

$y=a(x-h)^2 +k$

the vertex is: (h, k)

In this case

$h=6\\k =8$

the vertex is: $(6, 8)$

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3 years ago

1) An orchard owner was counting the number of apples he had total.

Ksju [112]

He had 630 apples total

5 0

3 years ago

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Question 1

erastova [34]

Answer:

217 is the perfect swuare i think

7 0

3 years ago

F(x) = x − 8, g(x) = |x + 8|<br> Find <br> (f ∘ g)(x).

miskamm [114]

Answer:

Step-by-step explanation:

$f(x) = x - 8 \\ \\ g(x) = |x + 8|$

To find (f ∘ g)(x) , substitute g(x) into f(x). That is for every x in f (x) replace it with g (x)

That's

Hope this helps you

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4 years ago

Is a hockey team makes four goals out of 50 attempts what fraction and what percentage of goals of the team miss

Darya [45]

Answer:

23/25 and 92% missed

Step-by-step explanation:

I simplified the first one.

I hope this helps!!

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3 years ago

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