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kobusy [5.1K]
2 years ago
12

Given the points (-4,8)and(6,-12)

Mathematics
1 answer:
MissTica2 years ago
3 0

Answer:

1.

midpoint = ( \frac{ - 4 + 6}{2} , \:  \frac{ - 12 + 8}{2} ) \\  = (1, \:  - 2)

2.

distance =  \sqrt{ {( - 4 - 6)}^{2} +  {( - 12 - 8)}^{2}  }  \\  =  \sqrt{500}  \\  = 22.4 \: units

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If b = 7, what is the value of the expression 2(10 – b)?
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Answer:

6

Step-by-step explanation:

10-7=3

2*3=6

4 0
3 years ago
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The chess club is selling drinks during the tract and field event.The club purchases water,juice boxes,and pouches of lemonade f
Akimi4 [234]

Answer: 233.92


Step-by-step explanation:

6.80 times 3 = 20.4

138.52 plus 75.00 plus 20.4 = 233.92


5 0
3 years ago
Answer for 2,3,4 help pls thanks
Lemur [1.5K]

(90 \times 15) \div 9 =  \: is \: your \: answer

Step-by-step explanation:

1. B is true

2 . I don't know

3.

4 0
3 years ago
During the first part of a​ trip, a canoeist travels 96 miles at a certain speed. the canoeist travels 15 miles on the second pa
blondinia [14]
This problem is a problem using 
d = r * t
First part of the trip
d = 96 miles
r = ??
t = ??

Second part of the trip
d = 15 miles
r = r - 5
t = 4 - t

Solve for r first.
96/r + 15/(r - 5) = 4 hours                multiply through by r and r - 5
96(r - 5) + 15r  = 4*(r - 5)(r)             Remove the brackets on the left
96r - 480 + 15r = 4*r*(r - 5)             Collect like terms on the left.
111r - 480 = 4r(r - 5)                        Remove the brackets on the right.
111r - 480 = 4r^2 - 20r                     Bring the left side over to the right side.
0 = 4r^2 - 20r - 111r + 480               Collect like terms.
0 = 4r^2 - 131r + 480

The only way I could do this was to use the quadratic equation.

\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a}

a = 4

b = - 131

c = 480

\text{x = }\dfrac{ -(-131) \pm \sqrt{(-131)^{2} - 4*4*480 } }{2*4}
\text{x = }\dfrac{ 131 \pm \sqrt{(17161) - 7680 } }{8}
\text{x = }\dfrac{ 131 \pm \sqrt{9481 } }{8}
\text{x = }\dfrac{ 131 \pm 97.37  }{8}

x = (131 + 97.38)/8
x = 28.55
x = (131 - 97.37)/8
x = 4.20

4.2 isn't going to work because the slower speed has to be larger than 5, otherwise you will get a negative speed (as this solution will give), so 4.20 is an extraneous solution.

r = 28.55 for the first  part of the trip and
r = 23.55 for the second part of the trip.

Check.
Let's see if the times add up to 4
d/r = t
96/28.55 = 3.36
15/22.75 = 0.64

The times do = 4, so the rates are correct.

Answers
r1 = 28.55 for the 96 mile trip.
r2 = 23.55 for the 15 mile trip.

8 0
3 years ago
He gave out half of the cookies in the morning. At lunch, he gave out 14 more. He then had 8 cookies left. How many cookies did
Vsevolod [243]

Answer:

44 cookies

Step-by-step explanation:

add the remaining cookies to the ones he gave away

(8+14)=22

double that

22x2

answer

44

3 0
2 years ago
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