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ahrayia [7]
3 years ago
9

What is the slope of a line that is perpendicular to the line with equation 12x+3y=9?

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0

Answer:

The slope would be 1/4.

Step-by-step explanation:

To find the perpendicular slope first you have to set this equation to y

to do this you use the subtraction prop of equality and you will get 12x-9= -3y

then you divide by -3 on both sides to get y by itself

you will get -4x+3=y

now that you know the slope is -4, you must find the negative reciprocal slope of this which means you have to flip the numerator and denominator and make the sign its opposite.

The perpendicular slope would then be 1/4.

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A line passing through the points (-3,1) and (-2,t) has a slope equal to 2. Find the value of t.
Setler [38]

Step-by-step explanation:

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7 0
2 years ago
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Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did
Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }

Therefore:

\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}

Multiply both sides by 8:

\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}

Solve for x:

\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}

Subtract 184 both sides:

\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0
2 years ago
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PLEASE HELP FOR 87 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!
Anton [14]
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2. y⁻² can also be rewritten as 1/y², so it becomes 1/y² · 1/y⁵ = 1/y⁷ (ie C)

3. Only the x is affected by the power.

4. y = 3·5ˣ doesn't change in slope, so it essentially is similar to a 5ˣ graph.

5. Should be pretty straight forward.
6. Should be pretty straight forward.
7. Should be pretty straight forward.

8. Since x is the length of the border, calculate the area of the frame and subtract that from the area of the square painting. (Remember that the length of the square painting is x - 8, not x - 4)

9. Should be pretty straight forward.
11 - 25 are pretty much similar to each other.
If you have trouble, let me know and I'll walk you through it.
6 0
3 years ago
Read 2 more answers
The perimeter of a rectangular window is 324 cm.
padilas [110]

Answer:

76 cm

Step-by-step explanation:

P=2L+2w

324=2(86)+2w

324=172+2w

324-172=2w

2w=152

w=152/2

w=76 cm

4 0
2 years ago
Draw a box plot for the following data. {35, 50, 50, 48, 48, 32, 38, 41, 48, 34, 29, 23, 41, 34, 43}
loris [4]

I can't really draw one, but the points would be, 23,34,41,48,50

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3 years ago
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