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3 years ago

Find the difference in numbers 1-6

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

Answer:

Step-by-step explanation:

6-1 is 5

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the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the

Ulleksa [173]

with the pythagorean theorem

$\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}$

using the formula of the quadratic equation

$\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}$

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0

1 year ago

Given f(x)=4x^3-3x^2+10 use the remainder theorem to find f(-2)

ozzi

To do this, you would need to use synthetic division.

-2 | 4 -3 10
-8 22
4 -11 32

Your reminder would be 32.

Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!

8 0

3 years ago

67000 dollars is placed in an account with an annual interest rate of 8.25%. how much will be in the account after 28 years, to

anastassius [24]

Answer:

The Amount of money in the account after 28 years is $616,674.5

Step-by-step explanation:

Given as :

The principal amount placed in the account = p = $67,000

The rate of interest = r = 8.25%

The time period of amount in the account = t = 28

Let the Amount of money in the account = $A

Now<u>, From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $67,000 × $(1+\dfrac{\textrm 8.25}{100})^{\textrm 28}$

Or, A = $67,000 × $(1.0825)^{28}$

Or, A = $67,000 × 9.2041

∴ A = $616,674.7

So, The Amount of money in the account = A = $616,674.5

Hence, The Amount of money in the account after 28 years is $616,674.5 Answer

5 0

3 years ago

Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?

anastassius [24]

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

3 0

3 years ago

HELP ME PLEASE !!!!!!!!

Vika [28.1K]

Answer:

OPTION A

Step-by-step explanation:

AS IF SHE DOUBLES 1 DIMENSION THE VOLUME BECOMES TWICE.

V=L*B*H

IF L IS DOUBLED ..

THEREFORE,NEW VOLUME=

V2=2L*B*H

V2=2 L*B*H

3 0

3 years ago

Read 2 more answers

Find the difference in numbers 1-6​

Find the difference in numbers 1-6