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slega [8]
2 years ago
14

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Answer:

y=3/2x+1

Step-by-step explanation:

y-4= -⅔(x-6)

y-4=-⅔x+4

y=-⅔x+4+4

(equation of line 1) y= -⅔x+8 gradient= -⅔

(line 2)gradient=3/2

note* the gradients of perpendicular lines multiplied result to -1

gradient=<u>y²-y²</u>

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>x²-x¹

<u>3</u><u> </u>=<u>y</u><u>+</u><u>2</u>

<u> </u><u> </u>2. x+2

multiply both sides by 2(x+2)to remove the denominators

3(x+2)=2(y+2)

3x+6=2y+4

3x+6-4=2y

3x+2=2y

divide all sides by 2

3/2x+1=y

y=3/2x+1

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Suppose an airline policy states that all baggage must be box shaped with a sum of​ length, width, and height not exceeding 114
NISA [10]

Answer:

Step-by-step explanation:

Represent the length of one side of the base be s and the height by h.  Then the volume of the box is V = s^2*h; this is to be maximized.

The constraints are as follows:  2s + h = 114 in.  Solving for h, we get 114 - 2s = h.

Substituting 114 - 2s for h in the volume formula, we obtain:

V = s^2*(114 - 2s), or V = 114s^2 - 2s^3, or V = 2*(s^2)(57 - s)

This is to be maximized.  To accomplish this, find the first derivative of this formula for V, set the result equal to 0 and solve for s:

dV

----- = 2[(s^2)(-1) + (57 - s)(2s)] = 0 = 2s^2(-1) + 114s - 2s^2

ds

Simplifying this, we get dV/ds = -4s^2 + 114s = 0.  Then either s = 28.5 or s = 0.

Then the area of the base is 28.5^2 in^2 and the height is 114 - 2(28.5) = 57 in

and the volume is V = s^2(h) = 46,298.25 in^3

7 0
3 years ago
Karina put a $300 pair of earrings on layaway by making a 10% down
abruzzese [7]

Answer:

8 weeks is the right APEX ANSWER

7 0
2 years ago
Tyrone saved 24$ of the 60 that he earned mowing lawns .what percent of his earnings did tyrone save
mezya [45]
If 24 of the 60 were saved then the percent saved is

(24/60) x 100

Let's imagine for a second that all 60 was saved, then 100% of the money would be saved. Which makes sense, because

(60/60) x 100 = 100%

So the amount saved dived by the amount earned all times 100 is the percent saved.
6 0
3 years ago
In a study of bat migration habits, 240 male bats and 160 female bats have been tagged. If 100 more female bats are tagged, how
valentinak56 [21]
Remark 
The way you have to set this up is to take the new number for the males and put it over the total for the males and females. The new number for the males / total = 3/5.

Step One
Find the total number of females
100 + 160 = 260 when 100 females have been added to the study.

Step Two 
Find the number of males
The total number of males = 240 + x where x is the number of males to be added.

Step Three
Find the total for both
260 + 240 + x = Total
500 + x = Total.

Step Four
Find the ratio of males to total
(240 + x) / (500 + x) = 3/5   

Step Five
Cross multiply and solve
(240 + x)*5 = (500+x)*3
1200 + 5x = 1500 + 3x    Subtract 1200 from both sides.
5x = 1500 - 1200 + 3x     
5x = 300 + 3x                   Subtract 3x from both sides.
5x - 3x = 300
2x = 300                          Divide by 2 
x = 300  / 2
x = 150

Check
(240 + 150 ) / (500 + 150) = ? 3/5
390 / 650 = ? 3/5
39/65 = ? 3/5  Divide the top and bottom on the left by 13
3/5 = 3/5 and it checks. 

7 0
3 years ago
Read 2 more answers
Find the value of x.
Anni [7]

Answer:

x = 56

Step-by-step explanation:

4 0
2 years ago
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