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Luden [163]
2 years ago
9

If y varies directly with x, find the missing value below. (2, -34) and (x, 85)

Mathematics
1 answer:
DedPeter [7]2 years ago
8 0

Answer:

X= -5

Step-by-step explanation:

y varies directly with x,

so y=kx

-34=k×2

k= -17

85= -17× X

X= -5

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Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
2 years ago
Simplify the expression (6×2)-4.
netineya [11]
The answer is 8

First you do what's in parentheses and that's 6 times 2 which equals 12
The you subtract by 4 which is 8
8 0
3 years ago
Read 2 more answers
Multiply each polynomial <br><br> (x + 5)(x+4)<br><br> teach me step by step
lara [203]

Answer: x^2 + 9x + 20

Step-by-step explanation:

Foil Method: (a + b) (c + d) = ac + ad + bc + bd

Lets say:

a = x

b = 5

c = x

d = 4

Plugging in the numbers: xx + 4x + 5x + 5*4

Combine like terms:

xx = x^2

4x + 5x = 9x

5 * 4 = 20

You're then left with: x^2 + 9x + 20

6 0
3 years ago
I really need help with this<br><br> Can someone help me thx<br><br><br> Plsssssss
omeli [17]

Answer:

10x^2 - 4x

Step-by-step explanation:

5x - 2 times 2x will equal the area of 'Potatoes.'

5x times 2x is 10x^2.

2 times 2x is 4x.

I cannot provide an exact value because x hasn't been identified.

I hope this helps.

3 0
3 years ago
The electric bill in may was $215.00 In June the bill was $274.00 What is the percent of increase rounded to the nearest tenth ?
Murljashka [212]
You can complete this by solving:
215 + 215(x) = 274
Which should give you .274418 or 27.44%
4 0
3 years ago
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