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2 years ago

15

Please help me out with this problem!!!

1 answer:

Ronch [10]2 years ago

6 0

Answer:

y = 3x - 2

Step-by-step explanation:

The equation is linear and expressed in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

Given (0, - 2 ) then c = - 2

Calculate the multiplier using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (1,1) ← 2 ordered pairs from the table

m = $\frac{1+2}{1-0}$ = 3, hence

y = 3x - 2 ← equation relating x and y

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What is the missing value of 5x-2y=30 (8,)

AnnZ [28]

Answer:

In this equation, we can start by understanding that "x" has a value of 8, as given in the ordered pair. When multiplied by 5, this leads to "40 - 2y = 30". Next, we can subtract 40 from both sides of the equation. This leads us to a value of "-2y = -10". The next step would be to divide both sides by -2 as a way of isolating "y", which leads us to a final value of "y = 5". The final ordered pair would be (8,5).

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2 years ago

X^2 - y^2 = 100

luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

$x+y=5$

Subtract y from both sides:

$x=5-y$

Now, substitute "5-y" for "x" in the first equation:

$(5-y)^2-y^2=100$

Note that:

$(a-b)^2=a^2-2ab+b^2$

$25-10y+y^2-y^2=100$

Cancel out like terms:

$25-10y=100$

Subtract 25 from both sides:

$-10y=75$

Divide both sides by -10

$y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}$

Now, substitute this value back into either of the equations to solve for x.

$x+y=5\\x-\frac{15}{2}=5\\$

Add 15/2 to both sides:

$x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}$

Now, find the difference:

$x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20$

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2 years ago

Determine whether the pair of equations represent parallel lines, perpendicular lines, or neither.

Ivahew [28]

Answer:

Parallel

Step-by-step explanation:

Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:

2(12x + 4y = 16)

24x + 8y = 32

This shows that both lines have the same slope, but then you find the y-intercepts, they are different:

1st equation y-int = 4

2nd equation y-int = 9/2 or 4.5

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2 years ago

Explain why 2a+3b=5ab

Ahat [919]

That's not correct. The terms 2a and 3b are not like terms, so we cannot combine them to get 5ab. We simply leave it as 2a+3b.

If you had 2a+3a, then it would simplify to 5a

Similarly, 2b+3b = 5b

Or you could have 2ab+3ab = 5ab

The key is that the variable portions must match up to be able to add them.

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2 years ago

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Use the slope-intercept method to graph the equation y=2x-4. Is (3,2) a solution?

Andru [333]

Yes, (3, 2) is a solution to y = 2x - 4. (:

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2 years ago

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