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stich3 [128]
3 years ago
6

Very lost please help quick

Mathematics
1 answer:
kenny6666 [7]3 years ago
6 0

Answer:

Equation of line: y = \frac{2}{5}x

Step-by-step explanation:

So we have to calculate the slope. The formula is \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Slope = \frac{300-200}{750-500} = \frac{100}{250} = \frac{10}{25} = \frac{2}{5}

We then need to calculate the Y-intercept.

The formula is y - y_{1} = m(x - x_{1} )

y - 200 = \frac{2}{5}(x - 500)

y - 200 = \frac{2}{5}x - 200

Add 200 to both sides

y = \frac{2}{5}x

There y-intercept is 0 which is the origin (0,0)

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The input values that would produce that output value, we set the output equal to the function's formula and solve for the input.
8 0
3 years ago
For the linear equation, find the product of 5 and the linear equation, and solve both equations for y. 2x + 7y = 11
tensa zangetsu [6.8K]

Answer:

(a) 10x + 35y = 55

(b) y = \frac{11 - 2x}{7}

Step-by-step explanation:

Given

2x + 7y = 11

Solving (a): Multiply equation by 5.

Multiply both sides by 5

5 * (2x + 7y) = 11*5

Open bracket

5 * 2x + 5 * 7y = 11*5

10x + 35y = 55

(b) Solve for y in 10x + 35y = 55 and 2x + 7y = 11

10x + 35y = 55

Subtract 10x from both sides

35y = 55 - 10x

Divide both sides by 35

\frac{35y}{35} = \frac{55 - 10x}{35}

y = \frac{55 - 10x}{35}

Factorize the numerator:

y = \frac{5(11 - 2x)}{35}

Express 35 as 7 * 5

y = \frac{5(11 - 2x)}{7 * 5}

y = \frac{(11 - 2x)}{7}

y = \frac{11 - 2x}{7}

<em>When </em>2x + 7y = 11<em> is solved, the solution will be: </em>y = \frac{11 - 2x}{7}<em></em>

6 0
3 years ago
Given the equation for the total surface area of a cylinder, solve for the height of the cylinder.
Tju [1.3M]

Answer:

Let S be the total surface area.  Then

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Discussion:

Let S be the total surface area.  Then

S =                      2Pi r*h + 2 Pi r^2        => subtract 2 PI r^2 from both sides

S - 2 PI r^22 =   2 PI r*h                         => divide both sides by 2 PI r

h = ( S - 2 Pi r^2) / ( 2 Pi r)

Thank you,

MrB

Step-by-step explanation:

6 0
3 years ago
A cylinder car for two with a diameter of 8 cm and a height of 20 cm is used to package a gift what is the approximate volume of
LUCKY_DIMON [66]

V=PI x r^2 x H

V=3.14 x 64 x 20 = 1005 cubic cm

4 0
3 years ago
Algebraic expression for 5 minus the product of y and 3
viva [34]

Answer:

5 - 3y

Step-by-step explanation:

Step 1: Convert product of y and 3 into numbers

Product = multiply

y = y

3 = 3

3y

Step 2: Convert 5 minus into numbers

minus = subtract

5 - 3y

4 0
3 years ago
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