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2 years ago

Given J(-8,-5) and L(6,-11), if K(r - 4, 2s) is the

Mathematics

1 answer:

algol [13]2 years ago

6 0

Answer:

r = 3, s = -4

Step-by-step explanation:

First, you can find the mid-point of the line. Look at the distance between the x values and the 7 values the dived those numbers by 2.

X the distance between -8 and 6 is 14 units. 14 divided by 2 is 7.

to find the x mid-point either move 7 points from either of the x values you are given. -8 plus 7 units would be -1. 7 points to the left of 6 would also put you at -1.

Y the distrance between -5 and -11 is 6 units. 6 divided by 2 is 3.

move 3 units from either of the y values and you end up at -8

So your mid-point is at ( -1, -8 ). To get the results for r, add 4 to the x value of your mid-point. To get your value for s, divide your y value for the mid-point by 2.

r = 3

s = -4

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Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)

Galina-37 [17]

Given:
amount borrowed $6,100
interest rate 6% - assuming annual interest rate
term - 290 days of a 365 day year.

This is a simple interest computation.

Interest = Principal * interest rate * term
Interest = 6,100 * 6% * 290/365
Interest = 290.79

Total payment at the end of the 290 term would be $6,390.79.

Principal + interest → 6,100 + 290.79 = 6,390.79

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3 years ago

One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the

tatuchka [14]

Answer:

22.75 minutes or 22 minutes 45 seconds

Step-by-step explanation:

Okay, this is a working together question. Let’s walk through it together!

Firstly, let’s say the total volume of the swimming pool is x sq.meters

Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35

Now, their combined rate would be x/65 + x/35 = 100x/2275

Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275

x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds

8 0

3 years ago

Channing jogs 10 miles a week.how many miles will she jog in 52 weeks

hichkok12 [17]

The total miles are given by multiplying the miles per week and the number of weeks:
total = 10*52 = 520
so the total miles she will jog are 520 miles

8 0

3 years ago

Read 2 more answers

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 14 pounds, and is spread evenly ov

Llana [10]

Hello!

For this uniform distribution, the shape of the density function is a line. We can begin by identifying key elements of the distribution:

Range: 6 to 14 pounds

Formula of density function:

y = 1/Range

1 - (14 - 6) = 1/8 = 0.125

f(x) = 0.125

P(x = 7)

A uniform distribution is a continuous distribution, so the probability of x being an EXACT value is approximately 0.

<u>This is the same as if we took the following integral. (Finding the area under a curve with the same start and end point)</u>
$\int\limits^a_a {f(x)} \, dx = 0$

Therefore, P(x = 7) = 0.

2)
We can think of this as finding the area of a rectangle.

The width would be the difference between 8.25 pounds and 12 pounds:
W = 12 - 8.25 = 3.75

The height would be the function (y = .125), or:
h = .125

Using the equation for the area of a rectangle: (A = h * w)

A = 3.75 * .125 = 0.469

Thus, P(8.25 < x < 12) = 0.469

3)
To find the probability GREATER than 10.50 pounds, we can subtract this value from the max value for the width:
W = 14 - 10.50 = 3.50

The height is the same as above:
h = .125

Solve for the area:
A = 3.50 * .125 = 0.4375

P(x > 10.5) = 0.4375

5 0

2 years ago

The function f is defined by f(x) = x + 3 / 4x - 5 . Find f(x+3).

natali 33 [55]

Answer:

x+6 / 4x-5

Step-by-step explanation:

3 0

3 years ago