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AnnZ [28]
3 years ago
9

A line passes through the points (-2,-4) and (3,5) which equation best represents a line parallel to this line?

Mathematics
1 answer:
Verdich [7]3 years ago
6 0

Answer:

okay think of it like this

1) -5y=-x-10  /:(-5)

y = 1/5 x + 2              m=-5 ( perpendicular lines )

5=(-5)* 2 + b

5 = -10 + b               b = 15

y = -5 x+15

2) -5 y = -10x+8

y = 2 x - 8/5            m = 2

4= 2 * 2 + b

4 = 4 + b                   b=0

y = 2 x

3 ) y = -4 x-1            m = -4

0 = 5*(-4)+b

0 = -20 + b              b = 20

y=-4 x+20

4) 2 y = -4 x + 5

y = -2 x + 5/2           m = -2

5 = (-2) * (-3) + b

5 = 6 + b                  b = -1

y = -2 x - 1

5) -3 y = - x + 9

y = 1/3 x - 3              m = -3

5 = -3*3+b

5 = -9 + b                 b = 14

y = -3 x + 14

hope it helpss!!!!!!

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Barbara drives between Miami, Florida and West Palm Beach, Florida. she drives 45 miles in clear weather and then encounters a t
WINSTONCH [101]

Answer:

Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

Step-by-step explanation:

Let v_1 be the speed and  t_1 be the time Barbara drives in clear weather, and let v_2 be the speed and t_2 be the time she drives in the thunderstorm.

Barbara drives 22 mph lower in the thunderstorm than in the clear weather; therefore,

(1). v_2 = v_1 -22

Also,

(2). v_1t_1 = 45miles

(3). v_2 t_2 = 57,

and

(4). t_1+t_2 = 2.25hr

From equations (2) and (3) we get:

t_1 = \dfrac{45}{v_1}

t_2 =\dfrac{57}{v_2}

putting these in equation (4) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_2}=2.25

and substituting for v_2 from equation (1) we get:

\dfrac{45}{v_1}+\dfrac{57}{v_1-22}=2.25

This equation can be rewritten as

2.25v_1^2-151.5v_1+990=0

which has solutions

v_1 = 60

v_1 = 7.33

We take the first solution v_1 =60 because it gives a positive value for v_2:

v_2 = v_1 -22

v_2 = 60 -22\\

v_2 = 38.

Thus, Barbara's speed in clear weather is 60mph and in the thunderstorm is 38mph.

4 0
4 years ago
Count the number of strings of length 9 over the alphabet {a, b, c} subject to each of the following restrictions.
Andrew [12]

Answer:

The solution and complete explanation for the above question and mentioned conditions is given below in the attached document. I hope my explanation will help you in understanding this particular question.

Step-by-step explanation:

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To get the mean distance that Jim jogged, you have to solve for the total miles he was able to jogged divided by the number of days he jogged.

6.5 miles + 5 miles + 3 miles + 2 miles + 3.5 miles + 4 miles = 24 miles / 6 days = 4

Therefore, the mean distance that Jim jogged is 4 miles.

6 0
4 years ago
Which property of multiplication is used to rename 5/6 to 10/12?
yan [13]
Fraction is used to rename 5/6
7 0
3 years ago
Ann invest $1,450 for 5 years at 2% simple interest what is the total amount of interest earned
yawa3891 [41]

Answer: $145 in interest.

Step-by-step explanation: 2% of $1,450 is $29. Multiply this by 5 and you get $145.

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