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4 years ago

13

What is the distance between the point (10,12) and (-4,-36)

1 answer:

dimulka [17.4K]4 years ago

4 0

Well using distance formula

$d \: = \sqrt{(x {}^{2} } - x {}^{1} ) + (y {}^{2} + y {}^{1} )$
The answer I got was Distance = 45.9 what ever unit of measure it might ask for. Feel free to check my math just in case.

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A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years? R

Thepotemich [5.8K]

Use the compound amount formula:

A = P*(1+r/n)^(nt)

Here,

A = $3500*(1+0.0375/12)^(12*12) = $5485.24

4 0

4 years ago

Expand And Simplify The Following:

Georgia [21]

For all the questions, we will be using the FOIL pattern.
1. $(x+3)(x-3)(3x+2)$
$(x^2-3x+3x-9)(3x+2)$
$(x^2-9)(3x+2)$
$3x^3+2x^2-27x-18$
2. $(2x+1)(x-2)(x+3)$
$(2x^2-4x+x-2)(x+3)$
$(2x^2-3x-2)(x+3)$
$2x^3+3x^2-11x-6$
3. $(x-3)(2x+1)(3x-2)$
$(2x^2+x-6x-3)(3x-2)$
$(2x^2-5x-3)(3x-2)$
$6x^3-19x^2+x+6$
Hope this helped!

8 0

3 years ago

Read 2 more answers

Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8

Rama09 [41]

Answer:

Answer:

3x + 3y = 0

7x - y = 8

Step-by-step explanation:

3 0

3 years ago

3. Sam and Tim each have savings accounts. Every month they each put in some of their

Setler [38]

Answer:

$y = 30x +50$ --- Sam

$y = 20x +80$ --- Tim

Step-by-step explanation:

Given

Sam Tim

х --- f(x) --------------- g(x)

1 --- 80 --------------- 100

2 --- 110 --------------- 120

3 --- 140 --------------- 140

4 --- 170 -------------- 160

Required

Determine the y value

y value implies the equation of the table

Calculating the equation of Sam

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,80)$

$(x_2,y_2) = (4,170)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{170 - 80}{4 - 1}$

$m = \frac{90}{3}$

$m = 30$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 80 = 30(x - 1)$

$y - 80 = 30x - 30$

Make y the subject

$y = 30x - 30 + 80$

$y = 30x +50$

Calculating the equation of Tim

First, we need to take any corresponding values of x and y

$(x_1,y_1) = (1,100)$

$(x_2,y_2) = (4,160)$

Next, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{160 - 100}{4 - 1}$

$m = \frac{60}{3}$

$m = 20$

Next, we calculate the line equation using:

$y - y_1=m(x-x_1)$

$y - 100 = 20(x - 1)$

$y - 100 = 20x - 20$

Make y the subject

$y = 20x - 20+100$

$y = 20x +80$

7 0

3 years ago

What is the simplest form of 8/40?

ehidna [41]

1/5 is the Simples Form

5 0

3 years ago

Read 2 more answers