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3 years ago

Factor the sum of terms as a product of the GCF and a sum 28+35

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

Step-by-step explanation:

28 = 2 * 2 * 7

35 = 5 * 7

The common factor is 7 . This is the GCF

28 + 35 = 7(4 + 5) (answer)

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paulette has arrived at cape horn. there are five penguins waiting to cross over to antarctica. jim goes before john but after j

Nikolay [14]

Well, this is a guess. Jim goes before john, but after joe. So Jim is second. John is third, so that leaved Joe.

Joe, Jim, John. But I don't know about the other 2.

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2 years ago

A line has slope 2/3 and y intercept -2. Which answer is the equation of the line?

Bingel [31]

Answer:

y=2/3x-2

Step-by-step explanation:

All of the given options are in slope intercept form.

Slope intercept form is y=mx+b

This is where m is the slope fo the line and b is the y intercept

That said, we can simply plug the given values into the form.

y=(2/3)x+(-2)

Simplify

y=2/3x-2

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2 years ago

Read 2 more answers

The sum of this 4 digit even number's thousands and ones digit is 10

Vladimir [108]

Even
means ends with 0,2,4,6,8

adds to 10
the last number cannot be 0 because the first cannot be add to 10

it can be
8xx2
6xx4
4xx6
8xx2

where x is any whole number you want

4 0

2 years ago

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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1 year ago

Read 2 more answers

1. Which of the following sets of numbers could represent the lengths of the sides of an acute triangle?

statuscvo [17]

Answer:

Step-by-step explanation:

That would be an isosceles triangle, therefore, acute. All angles measure 60, therefore being acute. I'm not 100% sure though.

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3 years ago