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3 years ago

Evaluate each expression

Mathematics

1 answer:

solmaris [256]3 years ago

5 0

Answer:

4 * 4 ÷ 4 = 4

8 ÷ (2*2) = 2

Step-by-step explanation:

$4 * 4 \div4\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\4 * 4 \div4\\\\4 * 1\\\\\boxed{4}$

==============================

$8 \div (2*2)\\\rule{150}{0.5}\\\text{Use PEMDAS}\\\\8 \div (2*2)\\\\8 \div 4\\\\\boxed{2}$

I hope this helps.

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Step-by-step explanation:

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3 years ago

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What is the slope of this equation 1/2x - 1/3

viktelen [127]

It is not linear, so therefore no slope

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How do you get the x intercepts?

Marta_Voda [28]

Factor the equation:
(x-6)(x+1)

Check:
-6+1=-5
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Use the zero product property
x-6=0
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3 years ago

Find the number of unique permutations of the letters in the word: ONGOING

Kazeer [188]

Answer:

<h2>The Number of unique permutation is 6,615</h2>

Step-by-step explanation:

This particular permutation deals with words that have repeated letters.

Given word = "ONGOING"

the formula for the permutation is

$= \frac{n!}{mA! mB!.....mZ!}$

where n is the amount of letters in the word, and m A , m B , ... , m Z are the occurrences of repeated letters in the word. Each m equals the amount of times the letter appears in the word.

So in the word "ONGOING"

n= 7

mO= 2

mN= 2

mG=2

$permutations = \frac{7!}{2!2!2!} \\\\permutations= \frac{7*6*5*4*3*2*1}{(2*1)*(2*1)*(2*1)}$

$permutations= \frac{52920}{8} \\permutation = 6,615$

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3 years ago

Please help with math problem

e-lub [12.9K]

Answer:

$a_0 = -8$

$a_1=-6$

$x^2 +y^2 -8x - 6y = 0$

Step-by-step explanation:

The equation of the circle has the following form

$x^2 + y^2 + a_0x + a_1y=0$

The equation of the circle has the following form

We know that the circle goes through the following points

(1, 7)

(8, 6)

(7, -1).

Then we substitute the values of x and y in the equation

$(1)^2 + (7)^2 + a_0(1) + a_1(7)=0$

$1 + 49 + a_0 + 7a_1=0$

$a_0 + 7a_1=-50$ (1)

$(8)^2 + (6)^2 + a_0(8) + a_1(6)=0$

$64 + 36 + 8a_0 + 6a_1=0$

$8a_0 + 6a_1= -100$ (2)

With these equations is enough to solve the system

$a_0 + 7a_1=-50$ (1)

$8a_0 + 6a_1= -100$ (2)

Multiply the equation (1) by -8 and add it to the equation (2)

$-8a_0 - 56a_1=400$ (1)

$8a_0 + 6a_1= -100$ (2)

-----------------------------------------------------

$-50a_1 = 300\\\\a_1 = -6$

Then

$a_0 + 7(-6) = -50\\\\a_0 = -50+42\\\\a_0=-8$

Finally the equation is:

$x^2 +y^2 -8x - 6y = 0$

7 0

3 years ago