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Tcecarenko [31]
4 years ago
8

Identify an equation in point-slope form for the line perpendicular to y = 1/4 that passes through (-2, -6)

Mathematics
1 answer:
abruzzese [7]4 years ago
4 0

Perpendicular lines, slope is opposite and reciprocal

so slope of new line = - 4

passes through (-2, -6) in point-slope form

y + 6 = -4(x + 2)

Answer is C. y + 6 = -4 (x + 2)

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A deep sea diver started at sea level (0 feet) and dove at a rate of 5.6 feet per minute. If the diver dove for ½ hour, what rat
Leona [35]

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = \dfrac{1}{2} hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

\dfrac{1}{2} hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in \dfrac{1}{2} hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is -168 feet.

Therefore, the correct option is D.

5 0
3 years ago
Help help help help please business
Margaret [11]

Answer:

x = 35°

Step-by-step explanation:

These are corresponding angles. When a transversal crosses 2 parallel lines, 4 angles are created at each intersection, and each pair of corresponding angles between those are congruent.

These angles are congruent, so you can set them equal to each other:

2x+20=3x-15

Then, just solve for x:

20=x-15\\35=x\\x=35

You can check that by plugging it back into both:

2x+20=3x-15\\2(35)+20=3(35)-15\\70+20=105-15\\90=90

3 0
3 years ago
Read 2 more answers
For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12
sleet_krkn [62]

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



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


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

 p = 6


for the value of p = 6 , the equations will have infinitely many solutions





5 0
3 years ago
three different accounts are described below. order the accounts to their values after 10 years, from greatest to least.
Sedbober [7]

Answer

You deposit $800 in an account that earns 7.5% annual interest compounded quarterly.

Step-by-step explanation:

From the close eye, this seems to me the best and most factual answer to be found!! Goodluck with your quiz!

6 0
3 years ago
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A baseball players batting average is 0.625. Write the batting average as a fraction.
Licemer1 [7]
62.5/100 is the batting average as a fraction
8 0
3 years ago
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