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vovikov84 [41]
3 years ago
12

Identify an equation in point-slope form for the line perpendicular to y=-1/2x+11 that passes through (4,-8).

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

A. y+8=2(x-4)

Step-by-step explanation:

A line perpendicular to y=-1/2x+11 would have slope +2, which is the negative reciprocal of -1/2.

Starting with the slope-intercept form of the equation of a straight line, find the y-intercept based upon this new line's passing through (4, -8):

y = mx + b becomes  -8 = 2(4) + b.  Then b = -16, and the desired new line is

y = 2x - 16.  

Eliminate answer choices B and C, because 1/2 is not the correct slope.

Choice A is correct.  Note that the result of subbing 4 for x and -8 for y into A:  y + 8 = 2(x - 4) is a true equation:  -8 + 8 = 2(4 - 4)

Also note that y + 8 = 2(x - 4) can be written in slope-intercept form:

y = -8 + 2x - 8, or y = 2x - 16 (same as obtained earlier)

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Tyson wrote this expression to describe the total amount of points he won in both rounds of a game.
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We know that Tyson wrote this expression to describe the total amount of points he won in both rounds of a game.  

The expression is f+15. Let variable f represent points. 

The correct answer is B. Tyson doesn't know how many points he earned in the first round. He knows he earned a total of 15 points in the whole game.
7 0
3 years ago
The perimeter of a rectangle is 32cm, its length is more than its width by 2 what's the area​
White raven [17]

Answer:

63 cm^2

Step-by-step explanation:

p = l + w + l + w

32 = 2l + 2w

32 = 2(w + 2) + 2w

32 = 2w + 4 + 2w

32 = 4w + 4

28 = 4w

7 = w

l = w + 2

l = 7 + 2

l = 9

Check your work:

32 = 9 + 7 + 9 + 7

32 = 32

Correct

A = l × w

A = 9 × 7

A = 63

3 0
3 years ago
Scientists are studying the temperature on a distant planet. Let y represent the temperature (in degrees Celsius).
mars1129 [50]
Wouldn't this be science because it's dealing with temperature?
3 0
3 years ago
You work for a small business that sells bicycles, tricycles, and tandem bicycles (bicycles built for two). Bicycles have one se
Hatshy [7]
Part A: each tricycle has three wheels, so with 48 wheels the number of tricycles was a =48/3=16 tricycles.
t=w/3 (the number of tricycles is the number of wheels divided by 3)

Part B:
The number of seats:
24=b+a (so b=24-a)
The number of seats is the sum of one seat per bicycle and one seat per a tricycle

also, 61=2a+3b (the number of wheels)

So we have:
24=b+a
 b=24-a
We can substitute this for b:

61=2a+3(24-a)

and solve:
61=2a+3*24-3a
61=72-a
a=72-61
a=11

There were 11 bicycles!!
and there were 24-11 tricycles, so 13 tricycles.

Part C: each of the bikes has only one  front-steering handlebar, so there were a total of 144 vehicles:

a+b+c=144

There were 378 pedals. And the number of pedals is:
2a+2b+4c=378 (the numbers 2,2,4 represent the number of pedals per vehicle)

divide by 2:
a+b+2c=189

Now, we have
a+b+2c=189
and

 a+b+c=144
and we can subtract them from each other:
a+b+c-(a+b+2c)=144-189
-c=45
c=45, so there were 45 tandem bicycles!
(this also means that a+b=144-45, that is a+b=99)
now the wheels:
3a+2b+2c=320
Let's substitute c:
3a+2b+90=320

which is
3a+2b=240
We also know that a+b=99, so we can substract this from this equation:
3a+2b+-a-b=240-99
2a+b=141

and again:
2a+b-a-b=141-99
a=42 - there were 42 trycicles!!!

And the bicycles were the rest:
99-42=57 bycicles















3 0
3 years ago
Show Me! How are these
Korolek [52]

Answer:

this statement are nothing alike because of the word fewer and many.Fewer means less while more means lot

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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