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Luden [163]
3 years ago
6

What is the slope of a line that passes through the points (-8,-3) and (-24,1)

Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

-  \frac{1}{4}

Step-by-step explanation:

gradient =  \frac{y1 - y2}{x1 - x2}

slope \: of \: line \\  =  \frac{1 - ( - 3)}{ - 24 - ( - 8)}  \\  =  \frac{1 + 3}{8 - 24}  \\  =  \frac{4}{ - 16}  \\  =  -  \frac{1}{4}

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2 Points
sergeinik [125]

Answer:

to get coordinate of mid point use (20+0)/2 for x coordinate,

A is correct answer!

7 0
3 years ago
Read 2 more answers
A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be afte
muminat
The growth formula is:

y = a•(1+x)^(t/p)

y is the end result

a is the initial amount

x is the percent growth as a decimal

t is the total amount of time

p is how often the growth occurred

Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.

So,

y = 380000 • (1.065)^(10/1)

y = 380000 • 1.87713746527

y = 713312.236802

y = 713312
6 0
2 years ago
20. Isosceles trapezoid LMNO has vertices L(-4,-3), M(-4,0), N(-2, 1),and O(-2,-4). If the figure is
kvv77 [185]

Answer:

L’M’ = 4.5 units

Step-by-step explanation:

We start by getting the dilated coordinates

we specifically work with the points LM

The dilated points can be obtained by multiplying the individual coordinates by 1.5

for L (1.5 * -4 and 1.5 * -3) = L’ (-6, -4.5)

M (-4,0) and ; (1.5 * -4 and 0 * 1.5) = M’ (-6,0)

Now, we can use the distance formula

D = √(y2-y1)^2 + (x2-x1)^2

D = √(0+ 4.5)^2 + (-6+6)^2

D = √(4.5)^2

D = 4.5 units

6 0
3 years ago
Develop an explicit formula in terms of n for the nth term of the following sequence:
Pavel [41]

Answer:

a_{n}=(n-1)n^{2}

for the seventh term: a_{n}=(7-1)7^{2}= (6)(49)=294

Step-by-step explanation:

First, we need to observe the sequence, it is crescent, every term is bigger than the one before it. Now, if we put our numbers in a graph (added as an image) we'll notice we obtain an exponential function, this is another detail we'll consider to find our equation, from here it's trial an error.

Our formula is:

a_{n}=(n-1)n^{2}

where n is the number of term:

  1. a_{n}=(1-1)1^{2}= (0)(1)=0
  2. a_{n}=(2-1)2^{2}= (1)(4)=4
  3. a_{n}=(3-1)3^{2}= (2)(9)=18
  4. a_{n}=(4-1)4^{2}= (3)(16)=48
  5. a_{n}=(5-1)5^{2}= (4)(25)=100
  6. a_{n}=(6-1)6^{2}= (5)(36)=180 it works!
  7. a_{n}=(7-1)7^{2}= (6)(49)=294

I hope you find this information useful! Good luck!

5 0
3 years ago
Kaitlyn has a bag with an equal number of red, yellow, and blue marbles. She makes a tree diagram to show the sample space if sh
bearhunter [10]

Answer:

6/9

Step-by-step explanation:

there are the possibility that she takes different colors six times in 9 different possible results

3 0
2 years ago
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