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Inga [223]
1 year ago
12

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Sh

ow all necessary steps.
Mathematics
1 answer:
BaLLatris [955]1 year ago
4 0

The equation of the line is y = -x + 6 if the passes through the point (4, 2).

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

From the graph:

The slope of the line g = (0-5)/(-5-0)

= 1

The slope perpendicular to the line g:

= -1

y - 2 = -(x - 4)

y - 2 = -x + 4

y = -x + 6

Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway
natali 33 [55]

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft

7 0
2 years ago
What is the equation of a circle with center (9,-7) and radius 2?
kirza4 [7]

Answer:

B. (x-9)^2 + (y + 7)^2 = 4

Step-by-step explanation:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Hopefully you can memorize that, because it's very helpful in these problems!

(h,k) is our center, and r is our radius, so plug those values into the standard form:

(x - 9)^2 + (y + 7)2 = 2^2

2^2 = 4, so

<u>B. (x - 9)^2 + (y + 7)2 = 4 is our answer!</u>

3 0
2 years ago
1/y = -3x/2+ 3 and rewrite it in the form of y = p/ q+x
Aleks [24]

1/y = -3x /2 + 3

mulytiply each term by 2y:-

2 = -3xy + 6y

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

y = -0.667 (-2 + x)

7 0
3 years ago
Solve each equation by completing the square <br>r² = –12r - 35​
Fittoniya [83]

Answer:

r = - 7, r = - 5

Step-by-step explanation:

Given

r² = - 12r - 35 ( add 12r to both sides )

r² + 12r = - 35

To complete the square

add ( half the coefficient of the r- term )² to both sides

r² + 2(6)r + 36 = - 35 + 36

(r + 6)² = 1 ← take the square root of both sides )

r + 6 = ± 1 ( subtract 6 from both sides )

r = - 6 ± 1, thus

r = - 6 - 1 = - 7 or r = - 6 + 1 = - 5

7 0
3 years ago
Find the linear approximation of f(x)=lnx at x=1 and use it to estimate ln(1.38).
RideAnS [48]
\bf f(x)=y=ln(x)\qquad &#10;\begin{cases}&#10;x=1\\&#10;y=ln(1)\to y=0&#10;\end{cases}\\\\&#10;-----------------------------\\\\&#10;\left. \cfrac{dy}{dx}=\cfrac{1}{x} \right|_{x=1}\implies 1\impliedby m&#10;\\\\\\&#10;\textit{now, we know that }&#10;\begin{cases}&#10;x=1\\&#10;y=0\\&#10;m=1&#10;\end{cases}\implies y-0=1(x-1)\implies y=x-1

now, you're asked to use it when ln(1.38), which is just another way of saying x = 1.38

so set x = 1.38 and see what "y" is
5 0
3 years ago
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