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3 years ago

PLEASEEEEE HELP I DO REALLY NEED IT

Mathematics

1 answer:

Mkey [24]3 years ago

4 0

Answer:

the second option

Step-by-step explanation:

the SSS congruence postulate would be used

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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

6 0

3 years ago

How can you calculate relative frequencies as patterns?

navik [9.2K]

You can divide,for your ansew,i try this but,my teacher need to correct that

3 0

3 years ago

Select the descriptions that are true of the equation y - 6= - 3(x+2). Select all that apply.

Lapatulllka [165]

The point-slope form:

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

We have

$y-6=-3(x+2)\to y-6=-3(x-(-2))$

Therefore

<h3>slope = -3 and the point (-2, 6)</h3>

------------

2x - y = 4 <em>it's standard form Ax + By = C</em>

y = 2x - 4 <em>it's slope-intercept form y = mx + b</em>

y - x = 4 →<em> </em>x - y = -4 <em>t's standard form Ax + By = C</em>

3 0

4 years ago

A pair of coins is tossed. What is the probability of no tails? <br> 0 <br> 1/2 <br> 1/4

lesya [120]

0 cannot be the answer. It makes no sense because you can get a probability of getting tails when flipping a coin.

The answer would be 1/2. You have '2' choices (heads or tails) and 1 out of those 2 times would you possibly get tails.

4 0

3 years ago

Read 2 more answers

3/7x+5=8<br><br> 1) 7 2/3<br> 2) 7<br> 3) -7

Aleks04 [339]

3/7 x+5=8
3/7 x=3
3x=21
x=7

The answer is (2)

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3 years ago