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4 years ago

Find the distance between the points P and Q shown. Question 6 options: A. 73−−√ B. 13−−√ C. 5–√ D. 65−−√

Mathematics

2 answers:

alexdok [17]4 years ago

5 0

Answer:

$d=\sqrt{73}$

Step-by-step explanation:

$Q(5, -1)$

$P(-3, 2)$

Using the distance formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_2+y_1)^2}$

$d=\sqrt{(-3-5)^2+(2-(-1))^2}$

$d=\sqrt{(-8)^2+(3)^2}$

$d=\sqrt{64+9}$

$d=\sqrt{73}$

$d\approx 8.5$

Ganezh [65]4 years ago

4 0

Answer is d = square root 73 bro

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A builder of modular homes would like to impress his potential customers with the variety of styles of his houses. For each hous

kiruha [24]

Answer:

48 different houses can be designed from these plans.

Step-by-step explanation:

There are four options:

O1 - O2 - O3 - O4

O1 is the number of different living rooms. So O1 = 3.

O2 is the number of different bedroom configurations. So O2 = 4.

O3 is the number of different garage styles. So O3 = 2.

O4 is the number of different outside configurations. So O4 = 2.

In all,

$T = 3*4*2*2 = 48$

48 different houses can be designed from these plans.

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3 years ago

Find the accumulated value of an investment of $20,000 for 7 years at an interest rate of 5.5% if the money is:

Amiraneli [1.4K]

Answer:

See below

Step-by-step explanation:

Given:

Investment P = $20000
Time t = 7 years
Interest rate r = 5.5% = 0.055

a. compounded semiannually, n = 2

$A = P*(1 + r/n)^{nt} = 20000(1+0.055/2)^{2*7} = 29239.88$

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c. compounded monthly, n = 12

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3 years ago

Read 2 more answers

Write a differential equation that models the given situation. The stated rate of change is with respect to time t. (Use k for t

Alex787 [66]

The differential equation that models the given situation will be dy/dt = K(N - y).

<h3>How to compute the equation?</h3>

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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2 years ago

X - 7 = 13 - x help asap plz

bekas [8.4K]

Answer:

x = 10

Step-by-step explanation:

$x - 7 = 13 - x$

Step 1 : Collect like terms and simplify

$x + x = 13 + 7 \\ 2x = 20$

Step 2 : Divide both sides of the equation by 2

$\frac{2x}{2} = \frac{20}{2}$

Step 3 : Simplify by cross cancellation of common term : 2

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