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Veseljchak [2.6K]
3 years ago
5

4b.) Write an equation using point-slope form with a slope of 2.3 and goes

Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

y+3.2=2.3(x-4.5)

Step-by-step explanation:

So the point-slope formula looks like this: y-y_1=m(x-x_1)

y_1 = any y point on the line

x_1 = any x point on the line

m = the slope

And hey, look, we're already given all that information!

So we can just plug those values into the equation:

y+3.2=2.3(x-4.5)

(*note: It's a +3.2 because 3.2 was negative in the first place, and -(-x) = +x)

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On the first part of her trip Natalie rode her bike 16 miles and on the second part of the trip she rode her bike 42 miles. Her
-BARSIC- [3]

Answer:

14 mph   ( average speed during the second part of the trip )

Step-by-step explanation:

Let´s call  "x"  the average speed during the first part then

t = 5 hours

t  =  t₁  +  t₂        t₁   and  t₂   times during part 1 and 2 respectively

l = t*v           (  distance is speed by time )      t =  l/v

First part

t₁  = 16/x        and      t₂  = 42 / ( x + 6)

Then

t =   5   =  16/x   +   42 /(x + 6)

5 = [ 16 * ( x  +  6 ) +  42 * x ] / x* ( x + 6 )

5 *x * ( x + 6 )  =  16*x  + 96 +  42 x

5*x² + 30*x  - 58*x - 96  =  0

5*x²  -  28*x  -  96  =  0

We obtained a second degree equation, we will solve for x and dismiss any negative root since negative time has not sense

x₁,₂  =   [28 ± √ (28)² + 1920  ] / 10

x₁,₂  = ( 28  ± √2704 )/ 10

x₁  = 28  -  52 /10        we dismiss that root

x₂  = 80/10

x₂  =  8 mph       average speed during the first part, and the average speed in the second part was 6 more miles than in the firsst part. then the average spedd dring the scond part was 8 + 6 = 14 mph

6 0
3 years ago
Janine,who brought 15$ worth of make up, spent 6$ less than leah spent
Aneli [31]
Janine = J = 15
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L = J + 6
L = 15 + 6
L = 21

So Leah spent $21

5 0
3 years ago
Please help!!!!!!! it would be very appreciated
Pani-rosa [81]

Answer:

x = 17.5 and y = 35

Step-by-step explanation:

2x + 10 = y + 10 ( alternate angles )

subtract 10 from both sides

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the sum of the 3 angles in the triangle = 180°

6x + y + 10 + 30 = 180 ( replace 6x by 3y )

3y + y + 40 = 180

4y + 40 = 180 ( subtract 40 from both sides )

4y = 140 ( divide both sides by 4 )

y = 35

substitute y = 35 into (1)

2x = 35 ( divide both sides by 2 )

x = 17.5



5 0
3 years ago
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