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3 years ago

Terry is drawing isosceles triangles with side lengths a, b, and c such that

Mathematics

1 answer:

My name is Ann [436]3 years ago

5 0

9514 1404 393

Answer:

{2, 2, 2}, {2, 3, 3}, {2, 4, 4}, {3, 2, 3}, {3, 3, 2}, {3, 3, 4}, {3, 4, 3}, {4, 2, 4}, {4, 3, 3}, {4, 4, 2}, {5, 2, 5}, {6, 2, 6}

Step-by-step explanation:

The requirement that side lengths be greater than 0 means that ...

y > x > 0

y > z > 0

Then possible values for x and z are 1, 2, 3, and possible values for y are 3, 4, 5, 6, 7.

When we list the possibilities, and exclude those that do not give isosceles triangles, we find the values of {a, b, c} can be those listed above.

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2 years ago

What is the linear equation that represents the value shown below?

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Answer:

The linear equation that represents the value shown below is $\mathbf{y=4x+6}$

Option D is correct option.

Step-by-step explanation:

We need to find the linear equation that represents the value shown below.

X l Y

0 l 6

1 l 10

2 l 14

3 l 18

4 l 22

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We need to find slope and y-intercept.

Finding slope

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Putting values and finding slope

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{10-6}{1-0}\\ Slope=\frac{4}{1}\\Slope=4$

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Now finding y-intercept

When x=0, the value of y is y-intercept

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3 years ago

What are the domain restrictions of q^2−7q−8 divided by q^2+3q−4 ?

Maksim231197 [3]

Factorize the polynomials individually;

q²-7q-8= (q-8)(q+1) <-- denominator
q²+3q-4= (q-1)(q+4)

When a number is divided by 0, it becomes indefinite (creating a hole in the graph).

(q-8)(q+1)=0
q=8
q=-1

Therefore, the second option.

Hope I helped :)

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3 years ago

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