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3 years ago

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

APC is 90 degrees

Step-by-step explanation:

When lines intersect and are perpendicular. that means the angle of intersection is 90 degrees.

APC is 90 degrees

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The function f(x) = -6x. The graph of g(x) is f(x)vertically stretched by a factor of 7 and reflected in the x-axis. What is the

Vera_Pavlovna [14]

we are given a function

$f(x)=-6x$

First translation:

The graph of function is vertically stretched by a factor of 7

Whenever we vertically stretch any function by 'a' units

so, we can write it as

$g(x)=a\times f(x)$

Here, it is vertically stretch by 7

so, we get

$g(x)=7\times -6x$

$g(x)=-42x$

Second translation:

Whenever we reflect any function about x-axis

we multiply y-value by -1

so, we can write it as

$g(x)=-f(x)$

Here , it is reflected in the x-axis

so, we can multiply by -1 to y-value

we get

$g(x)=-1\times -42x$

$g(x)=42x$ .............Answer

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3 years ago

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A line has a slope of 3/7 and a y-intercept of 0. What is it’s equation in slope-intercept form?

Ilia_Sergeevich [38]

Answer:

y = 3/7x

Step-by-step explanation:

Well slope-intercept form means this -----> y=mx+b

m = slope

b = y- intercept

In the question given they already telling us the slope (3/7) and the y intercept (0) so to put it into slope intercept form it will be ---> y= 3/7x

* If your y - intercept is zero you don't need to replace it with the b because its zero it means nothing (it has no value)

Hope this helps!!!

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2 years ago

Expressions, Equations & inequalities Question 1<br>Solve the inequality<br>12x + 151 - 19

aliya0001 [1]

Answer:

I believe the answer is 12 • (x + 11) .

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2 years ago

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Write an equation of the line that passes through the given point and is parallel to the given line.

Margaret [11]

Answer:

Part 40) $y=-2x+9$

Part 41) $y=5x+6$

Part 42) $y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=-2$

step 2

Find the y-intercept b

we have

$m=-2$

$(4,1)$

substitute in the linear equation

$1=(-2)4+b$

solve for b

$b=1+8$

$b=9$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=-2$

$b=9$

substitute

The equation of the line is

$y=-2x+9$

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

$b=6$ ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=5$

$b=6$

substitute in the linear equation

$y=5x+6$

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

The slope of the given line is

$m=\frac{2}{3}$

step 2

Find the y-intercept b

we have

$m=\frac{2}{3}$

$(-5,-2)$

substitute in the linear equation

$-2=(\frac{2}{3})(-5)+b$

solve for b

$-2=-\frac{10}{3}+b$

$b=-2+\frac{10}{3}$

$b=\frac{4}{3}$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=\frac{2}{3}$

$b=\frac{4}{3}$

substitute

The equation of the line is

$y=\frac{2}{3}x+\frac{4}{3}$

3 0

3 years ago

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?​ ​

Line "AB" and line "CD" are perpendicular and intersect at point P. What is the measure of angle APC?