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Rashid [163]
3 years ago
7

What is the slope of the line below?

Mathematics
1 answer:
scoray [572]3 years ago
6 0

Answer:

-4

Step-by-step explanation:

The line goes to the left by 3 units and down by 12.

This makes the fraction -12/3 which is also -4

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Proving Vertical Angles Are Congruent
Annette [7]

Answer:

Vertical angles are always congruent

Step-by-step explanation:

5 0
2 years ago
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Find the slope of 6x – 3y = 5
sladkih [1.3K]

Answer:

slope is 2

Step-by-step explanation:

simplify this equation so that you can get to "y ="

your equation is: 6x - 3y = 5

start by subtracting 6x from both sides: -3y = -6x - 5

then divide both sides by -3 to isolate y: y = 2x - 5/3

so now we can clearly see that the slope is 2, since that is what is right next to x

3 0
3 years ago
Answer any problem and I will be happy <br> (30) pts
KatRina [158]
Problem 4

c = speed of current
p = paddling speed in still water

Against current:
speed = p-c (start with paddling speed and subtract off current's speed)
speed = 2 (given)
p-c = 2
p = 2+c

With the current
speed = p+c (now the current is speeding things up, so we add on c)
speed = 3 (given)
p+c = 3
2+c+c = 3 ... plug in p = 2+c; solve for c
2+2c = 3
2+2c-2 = 3-2
2c = 1
c = 1/2
c = 0.5

Since c = 0.5, we can use this to find p
p = 2+c
p = 2+0.5
p = 2.5

So,
The speed of the river current is 0.5 mph
Rita's paddling speed in still water is 2.5 mph

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

Problem 5

Terms to know:
headwind = wind that slows the plane down (wind is coming from the head of the plane flowing in the opposite direction of the plane's intended direction)
tailwind = wind that speeds the plane up (wind is coming from the tail of the plane flowing in the same direction of the plane's intended direction)

d = distance = 255 miles
p = speed of plane in still air
w = speed of wind

Against the wind (headwind), the plane travels 1.7 hours at some speed p-w. We start with the plane's speed in still air (p) and subtract off the wind speed because the wind is slowing the plane down. So the first equation is
(p-w)*1.7 = 255
since the plane travels 255 miles
I'm using the formula d = r*t
d = distance
r = rate or speed
t = time

Divide both sides of (p-w)*1.7 = 255 by 1.7 and we get p-w = 150
Then add w to both sides and we have p = 150+w

Similarly, the second equation is 
(p+w)*1.5 = 255
since the tailwind speeds the plane up from p to p+w, the time is 1.5 hrs and the distance is the same (255 mi)

Plug the equation p = 150+w into the second equation
(p+w)*1.5 = 255
(150+w+w)*1.5 = 255
(150+2w)*1.5 = 255
150*1.5+2w*1.5 = 255
225+3w = 255
225+3w-225 = 255-225
3w = 30
3w/3 = 30/3
w = 10

Use w = 10 to find p
p = 150+w
p = 150+10
p = 160

So,
wind speed = 10 mph
speed of plane in still air = 160 mph
6 0
3 years ago
Solve using the tangent formula(real answers only please)
Lilit [14]

9514 1404 393

Answer:

  21.07

Step-by-step explanation:

The tangent ratio is ...

  Tan = Opposite/Adjacent

For the given values, this is ...

  tan(36°) = x/29

Solving for x, we have ...

  x = 29·tan(36°)

  x ≈ 21.07

4 0
3 years ago
What is the ratio 25 to 45 as a simplified fraction​
fenix001 [56]
Reducing the fractions, it is also true that:
Part A = 5/14 of the whole
Part B = 9/14 of the whole
6 0
3 years ago
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