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stepladder [879]
3 years ago
7

Write in slope-intercept form the equation of the line passing through the given point and perpendicular to the given line.

Mathematics
1 answer:
Ksivusya [100]3 years ago
4 0

Answer:

y = x + 1

Step-by-step explanation:

First you find the slope of the first line using the rise over run method. Here you can see that the line goes up 1 and to the right one in order to reach the next point making the slope 1x or just x. Then you need to make it so that the line intercepts the point by changing the y intercept to 1 making the equation y = x + 1.

I hope this helped!!

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A car travels 200 miles in the same time that a train travels 300 miles. The speed of the train is 20 miles per hour more than t
scZoUnD [109]
The equation is 
time= distance/rate
and the train is going 300 miles 
the car is going 200 miles
the train goes 20 miles faster than the car
fitting the numbers into the equation 
200/r=300/(r+20)
cross multiply 
200/r = 300/(r+20)
200(r+20) = 300r 
distributive property 
4000+200r=300r
subtract 200r from both sides to add like terms 
4000=100r 
divide 100 from each side to get r by itself
40 = rate of car
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6 0
4 years ago
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) =
Brrunno [24]

Answer:

If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h

Step-by-step explanation:

Given ƒ(x ) = 3x + 1, then to calculate  ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.

So...

f(a +h) = 3(a + h) + 1

and

f(a) = 3a + 1

Then

  ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.

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4 0
4 years ago
2. Select the properties that both rectangles and parallelograms always share.
tatyana61 [14]

Answer:

Here you go! :)

2. 2 pairs of parallel sides

3. 3 sides of equal length

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3 years ago
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Firlakuza [10]

Answer:

11.15

Step-by-step explanation:

3 0
3 years ago
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The volume of a box is 4 in. wide, 2 in high and 5 in. long is
sladkih [1.3K]

Answer:

40 in^3

Step-by-step explanation:

Volume of a box is given by

V = l*w*h

V = 4*2*5

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8 0
4 years ago
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