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PilotLPTM [1.2K]
2 years ago
11

Calculate the distance between the points H=(4,-8) and C=(9,-4) in the coordinate plane.

Mathematics
1 answer:
cricket20 [7]2 years ago
5 0

Answer:

find the functions whose derivative is 0

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Find the slope for the line through each pair of points (-18,-20) (-18,-15) NEED ASAP
nirvana33 [79]

Answer:

Distance

5

Midpoint

(−18,−17.5)

Slope

Inf∈ity

Step-by-step explanation:

no solution

4 0
3 years ago
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Find the slope of the line. (Please explain if you can, and answer in an integer/fraction.)
Setler [38]

Answer:

-2

Step-by-step explanation:

We can find the slope of a line by using two points

(-2,1) and (2,-7)

The slope is given by

m = (y2-y1)/(x2-x1)

   = (-7-1)/(2- -2)

   = (-8)/(2+2)

   = -8/4

   =-2

4 0
3 years ago
Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard
Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=32.5

\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93

For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

The p-value = P(-0.93

=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302

Hence, the required probability :-0.4302

3 0
3 years ago
Bethany has a garden box that is 4. feet long, 8 feet wide, and foot deep . How many cubic feet of dirt does she need to fill th
Firdavs [7]
You need to work out the area so

Area of a rectangle is l x b

So

A= l x b
A= 8 x 4
A= 32

Therefor 32 cubic feet of dirt is needed
6 0
2 years ago
Anna starts a fixed deposit with $178000, the bank offers 9.5% per year simple interest for 8 months. she has the option of rest
soldier1979 [14.2K]

Using simple interest, we have that:

A) The interest due after 8 months is $11,272.33.

B) The total value of the investment will be of $189,986.24.

The amount of interest earning using <em>simple interest</em>, after <u>t years</u>, with an <u>yearly interest rate of i</u> and an <u>initial investment of P</u> is given by:

E = Pit

In this problem:

  • Deposit of $178,000, hence P = 178000.
  • Interest rate of 9.5% per year, hence i = 0.095.
  • 8 months, the time is in years, hence t = \frac{8}{12} = \frac{2}{3}

Item a:

E = Pit

E = 178000(0.095)\frac{2}{3} = 11272.33

The interest due after 8 months is $11,272.33.

Item b:

For the second interest, we consider P = 11272.33, hence:

E_2 = Pit

E_2 = 11272.33(0.095)\frac{2}{3} = 713.91

The total value will be composed by:

  • The initial deposit of $178,000.
  • The first interest of $11,272.33.
  • The second interest of $713,91.

Hence, it will be:

T = 178000 + 11272.33 + 713.91 = 189986.24

The total value of the investment will be of $189,986.24.

A similar problem is given at brainly.com/question/13176347

3 0
2 years ago
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