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3 years ago

Write the equation of a straight line passing through the point (1,8) and perpendicular to y=3x+2

1 answer:

5 0

Hello there!

The first thing you must do is to find the slope of the line. To do this, find the negative reciprocal of your current equation. Since your current slope is 3, the negative reciprocal of that would be -1/3, which would be your slope.

Now that you have your slope, plug it into the slope intercept equation as well as your known points:
(1,8) m(slope)=-1/3
8=1(-1/3)+b

Now, solve for b:
8=1(-1/3)+b
8=-1/3+b
b=25/3

Now that you have the slope and the b value, you can conclude that your equation would be:
y=-1/3x+25/3

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Louis wants to carpet the rectangular floor of his basement. The basement has an area of 500 square feet. The width of the basem

Mazyrski [523]

Answer:

The correct answer is the length is 10 feet and width is 2 feet respectively.

Step-by-step explanation:

Let length of the rectangular floor of Louis' basement be l feet and width be $\frac{l}{5}$ feet respectively.

Area of the basement floor is given to be 500 square feet.

Therefore according to the given problem,

l × $\frac{l}{5}$ = 500

⇒ $l^{2}$ = 100

⇒ l = 10 ; [length cannot be negative]

⇒ b = 2

Thus the length and width be 10 feet and 2 feet respectively.

4 0

3 years ago

A javelin thrower is running at 7mph and throws her javelin at 18mph at an angle of 13o with the horizontal. Determine the resul

RUDIKE [14]

Will I get any points?

5 0

3 years ago

What is the range of data in this box plot? what is the median?

jeka57 [31]

Hello!

The range is the lowest number subtracted from the highest number

The lowest number is 1
The highest number is 9

9 - 1 = 8

The range is 8
------------------------------------------------------------------------------------------------------
To find the median you look at the line that separates the box plot into two sections

The median is 4

Hope this helps!

8 0

3 years ago

Read 2 more answers

The width of a rectangle is 6 less than half the length. If x represents the length, which equation could be used to find the wi

Shtirlitz [24]

Answer:

C. y=1/2x-6

Step-by-step explanation:

The correct answer is C. y=1/2x-6.

If we are finding 1/2 of the length, and the length is represented by x, than we would have 1/2x.

It also says 6 less than halve of the length, so we would represent that as 1/2x-6, and that shows us the proper equation to find the width.

Hope this helps!

5 0

3 years ago

Choose all that apply :)

Veronika [31]

Answer:

1 Multiply the first equation by -1 then add the equations together

3. Multiply the second equation by -1 then add the equations together

4. Multiply the first equation by -2 then add the equations together

5. Multiply the first equation by 2 the second by -1 then add the equations together

Step-by-step explanation:

x+y = 7

2x+y = 5

1 Multiply the first equation by -1 then add the equations together

-x+-y = -7

2x+y = 5

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

x =-2 then solve for y

2. Multiply the second equation by -1 first equation by -1 then add the equations together

-x+-y = -7

-2x-y = -5

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

-3x -2y = -12

Still have both variables

3. Multiply the second equation by -1 then add the equations together

x+y = 7

-2x-y =- 5

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

-x = 2

4. Multiply the first equation by -2 then add the equations together

-2x+-2y = -14

2x+y = 5

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

-y = -9

5. Multiply the first equation by 2 the second by -1 then add the equations together

2x+2y = 14

-2x-y = -5

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

y = 9

7 0

3 years ago