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3 years ago

Which of the following sets of numbers could be the side lengths of a triangle?

Mathematics

1 answer:

adelina 88 [10]3 years ago

6 0

Answer:

2, 3, and 4

Step-by-step explanation:

To determine if the given sides make a triangle, the sum of any two sides should be greater than the third.

4, 7, and 13

4 + 7 > 13

<h3> 11 > 13 FALSE</h3><h3>b)</h3>

9, 13, and 23

9 + 13 > 23

<h3> 22 > 23 FALSE</h3><h3>c)</h3>

2, 3, and 4

2 + 3 > 4

10, 10, and 30

10 + 10 > 30

<h3> 20 > 30 FALSE</h3>

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find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa

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<h3>hello!</h3>

=====================================================

Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

$\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}$

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

$\longrightarrow\sf{y-(-8)=3(x-1)}$

Simplify:

$\longrightarrow\sf{y+8=3(x-1)}$

and we're done!

=========================================================

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

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2 years ago

Use the triangle below to write the given ratios.<br> • sin(P) = <br>tan(T) = <br>cos(T) =

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Answer:

Explaining:

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2 years ago

Y=2x y=7x + 15 substitution

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$2x = 7x + 15$

Move the variable to the left-hand side and change its sign

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Substitute the given value of x into the equation y=2x

$y = 2 \times ( - 3)$

Solve the equation for y

$y = - 6$

The possible solution of the system is the ordered pair (x,y)

$(x,y) = ( - 3, - 6)$

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