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Marat540 [252]
3 years ago
9

Complete the equation of the line through (6,-6) and (8,8). Use exact numbers. y=?

Mathematics
1 answer:
MariettaO [177]3 years ago
6 0
Y = 7x - 48

use slope formula so, y2 - y1 over x2 - x1 to get your m value or your slope which is 7. then plug in the slope and a random set of point so I used (6, -6). -6 = 6(7) + b, simplify.
-6 = 42 + b, subtract 42 which leaves you with b= -48. hope this helps :)
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From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha
Helga [31]

Answer:

The correct option is D. 2/7

Step-by-step explanation:

Consider the provided information.

There are 8 volunteers including Andrew and Karen, 4 people are to be selected at random to organize a charity event.

We need to determine the probability Andrew will be among the 4 volunteers selected and Karen will not.

We want to select Andrew and 3 others but not Karen in the group.

Thus, the number of ways to select 3 member out of 8-2=6

(We subtract 2 from 8 because Andrew is already selected and we don't want Karen to be selected, so subtract 2 from 8.)

The required probability is:

\dfrac{^6C_3}{^8C_4}=\dfrac{\frac{6!}{3!3!}}{\frac{8!}{4!4!}}\\\\\\\dfrac{^6C_3}{^8C_4}=\frac{20}{70}\\\\\\\dfrac{^6C_3}{^8C_4}=\dfrac{2}{7}

Hence, the correct option is D. 2/7

6 0
3 years ago
Find the intersection of the three sets: A = {–4, 3, 10}, B = {3, 6, 10, 15}, C = {–4, 10, 20}
Wittaler [7]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
You are drawing a map. Two cities on the map are 7 inches apart. You know the actual distance between them is 1,750 miles. What
swat32

Answer:

  • 1 inch : 250 miles
  • 1/15,840,000

Step-by-step explanation:

Map scale factors are usually written a couple of different ways. One of them is the number of miles represented by 1 inch. Here, that is ...

  1750 mi/(7 in) = 250 mi/in

Written that way, the scale factor is 1 in : 250 miles.

__

The other way the scale factor can be written is as a unitless ratio. That ratio is ...

  \dfrac{1\,\text{in}}{250\,\text{mi}}\times\dfrac{1\,\text{mi}}{5280\,\text{ft}}\times\dfrac{1\,\text{ft}}{12\,\text{in}}=\dfrac{1}{250\cdot 5280\cdot 12}=\dfrac{1}{15,840,000}

The map scale factor is 1 in : 250 miles, or 1/15,840,000.

5 0
3 years ago
Read 2 more answers
Please Help! ASAP!<br> f(x)=x^2. What is g(x)??????
AnnZ [28]

Answer:

The first one

Step-by-step explanation:

g(x) = ax² + bx + c

Point (0,0):

0 = a.0² + b.0 + c

c = 0

Point (2,1):

1 = a.2² + b.2 + c

4a + 2b + c = 1

But c = 0. Then:

4a + 2b = 1

Another point: (- 2, 1):

1 = a.(- 2)² + b.(- 2) + c

4a - 2b = 1

{4a + 2b = 1

{4a - 2b = 1

4a + 2b = 4a - 2b

4a - 4a = - 2b - 2b

- 4b = 0

b = 0

4a + 2b = 1

4a + 2.0 = 1

4a = 1

a = 1/4

The formula is:

g(x) = (1/4)x²

I hope I've helped you.

8 0
3 years ago
A tomato plant grew an average of 0.06 m per day. how many days did it take for the plant to grow a total of 0.96 m?
gizmo_the_mogwai [7]
1 day = 0.06 m
x = 0.96 m

0.96 ÷ 0.06 = 16 days
3 0
3 years ago
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