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Liono4ka [1.6K]
2 years ago
8

What is an equation of the line passing between(4, -6) and (12, -8)?*

Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0

Answer:

y= -1/4x - 5

Step-by-step explanation:

first you need to find the slope.

to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1

-8 - (-6)/12-4

-2/8

-1/4 = slope

since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points

-6 = -1/4(4) + b

-6 = -1 + b

-5 = b

so the final equation is y= -1/4x - 5

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3 years ago
Tucker got in his car and started driving toward his grandmother's house. After driving for 1 hour and 30 minutes, Tucker took a
umka2103 [35]

Answer: He started driving at 2:15 P.M.

Step-by-step explanation:

8 0
3 years ago
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Charlie runs at a speed of 3 yards per second . About how many miles per hour does Charlie run?
MrMuchimi
Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me. 

3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile) 

3/1760 = 0.017 miles,

Now we just need to convert seconds to hours. 

1 second is how many mins, then how many mins in an hour? 

360 seconds in an hour. 

Ok now we just need to combine these two pieces of info, 
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
6 0
3 years ago
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Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al
padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that P(A) = 0.9

82% of all buyers request built-in GPS

This means that P(B) = 0.82

77% of all buyers request both automatic transmission and built-in GPS.

This means that P(A \cap B) = 0.77

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0
3 years ago
An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window de
jeka94

The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.

In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;

  • Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
  • Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).

Since the triangle is equilateral,

PQ = QR = RP

Mid-point divides the lines into equal parts. So,

PS = SQ = QU = UR = RT = TP

Thus, it is proved that

ΔPST = ΔSTU = ΔTUR = ΔQSU

Learn more about 'Equilateral Triangle' here:

brainly.com/question/2855144

8 0
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