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2 years ago

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Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

1 answer:

UNO [17]2 years ago

7 0

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

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Which are composite or prime<br> 9 , 2 , 15 , 21

Luda [366]

A composite number is a number that has more than 2 factors.
A prime number is a number who only have 2 factors (1, and itself)
Factors:-

9 = 1, 3, 9 = composite
2 = 1, 2 = prime
15 = 1, 3, 5, 15 = composite
21 = 1, 3, 7, 21 = composite

So, the prime #'s in this set are 2. The composite #'s in this set are 9, 15, and 21.

Hope I helped ya!!

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2 years ago

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3 years ago

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1. The volume of a rectangular shape 5 feet

Inessa05 [86]

is this for the test on schoolobjects?

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2 years ago

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2. Consider the function, f(x)=x^3+x^2-9x-9

Sedaia [141]

The intercepts of the graph are:

x-axis interception: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception: $\left(0,\:-9\right)$ .

See the graph of the function $f(x)=x^3+x^2-9x-9$ in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.

Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: $\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21$ . Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0) are: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception point (x=0) is: $\left(0,\:-9\right)$ .

Learn more about intercepts of the graph here:

brainly.com/question/4504979

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1 year ago

16+5×4÷2=42 <br><br>insert parentheses to make the statement true

Nat2105 [25]

(16+5)4÷2=42
21×4÷2=42
84÷2=42
42=42
that is were to but you answer

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2 years ago