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3 years ago

Need help with all these questions.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

A. |x-3| - 2;
-5 - 3 = -8
Since we're doing absolute value, it'd be 8.
8 - 2 = 6

B. 1.5 x 0.2 = 0.3 (Just plug in the x value).

C. |7-2(-3)|
2 x -3 = -6
-6 + 7 = 1

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What is the solution of the system? Use substitution.

nekit [7.7K]

Substituting y=6x+2 into equation 3y - 18x =12 looks like:

3(6x + 2) - 18x = 12
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6 = 12 simplifying the left side

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A graph is given below. Answer the following questions based off the graph:

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(a) The slope of the graph is $\frac{2}{5}$

(b) The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(d) The y-intercept is correct

(e) We substitute x by zero because the line intersects y-axis at a point

its x-coordinate must be zero. Then we calculate the value of

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Step-by-step explanation:

The slope of a line whose endpoints are $(x_{1},y_{1})$ and $(x_{2},y_{2})$

is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

The equation of a line in a point-slope form is:

$y-y_{1}=m(x-x_{1})$

From the graph:

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(a)

∵ $(x_{1},y_{1})$ = (-5 , 0)

∵ $(x_{2},y_{2})$ = (0 , 2)

∴ $m=\frac{(2-0)}{(0--5)}=\frac{2}{5}$

The slope of the graph is $\frac{2}{5}$

(b)

∵ Point (-2.5 , 1) lies on the line

∴ $(x_{1},y_{1})$ = (-2.5 , 1)

∵ The point-slope form is ⇒ $y-y_{1}=m(x-x_{1})$

∵ m = $\frac{2}{5}$

- Substitute the coordinates of the point and the slope in the equation

∴ y - 1 = $\frac{2}{5}$ (x - -2.5)

∴ y - 1 = $\frac{2}{5}$ (x + 2.5)

The equation of the line in point-slope form is y - 1 = $\frac{2}{5}$ (x + 2.5)

(c)

When the line intersects the y-axis at point (0 , b), then b is the

y-intercept

∵ The line intersects y-axis at point (0 , 2)

∴ The y-intercept is (0 , 2)

The y-intercept of the graph is (0 , 2)

(d)

Let us substitute x in the equation by zero

∵ x = 0

∵ The point slope form of the equation is y - 1 = $\frac{2}{5}$ (x + 2.5)

∴ y - 1 = $\frac{2}{5}$ (0 + 2.5)

∴ y - 1 = $\frac{2}{5}$ (2.5)

∴ y - 1 = 1

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(e)

We substitute x by zero because the line intersects y-axis at a point its

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Then we calculate the value of y-coordinate when x = 0

The y-coordinate = 2, so the y intercept is (0 , 2)

Learn more:

You can learn more about linear equation in brainly.com/question/13168205

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Answer:

Step-by-step explanation:

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Substitute and you'll have:

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Answer:

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Answer:

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

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The point (3,2) satisfies both equations.

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