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4 years ago

What is he first step in solving the equation (x-6)2=9

Mathematics

2 answers:

Serhud [2]4 years ago

8 0

Remember Please Excuse My Dear Aunt Sally
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boyakko [2]4 years ago

7 0

$(x-6)^2=9\\\\first\ step-square\ root\\\\\sqrt{(x-6)^2}=\sqrt9\\\\next\ step:\\\\|x-6|=3\\\\solution:\\\\x-6=3\ \vee\ x-6=-3\\\\x=3+6\ \vee\ x=-3+6\\\\x=9\ \vee\ x=3$

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Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many

Kay [80]

Answer: 42 pieces of gum

Step-by-step explanation: 2x+4=88

4 0

3 years ago

Cody has 4 cups of powdered sugar. He sprinkles 3/4 of the sugar onto a plate of brownies and sprinkles the rest onto a plate of

Mashcka [7]

Answer:

3 cups

Step-by-step explanation:

Assumptions: How much sugar does cost sprinkle on the brownies. Cost meant Cody

Given data:

Total of 4 cups

3/4 is sprinkled onto a plate of brownies

The rest onto a plate of lemon cookies

<em>Sugar sprinkled on brownies </em>= (3/4) * 4

<em>Sugar sprinkled on brownies</em> = 3 cups.

6 0

3 years ago

You want to place a towel bar that is 24 1/4 centimeters long in the center of a door that is 70 1/3 centimeters wide. How far s

Aleksandr [31]

Answer:

The towel bar should be placed at a distance of $23\frac{1}{24}\ cm$ from each edge of the door.

Step-by-step explanation:

Given:

Length of the towel bar = $24\frac14\ cm$

Now given length is in mixed fraction we will convert in fraction.

To Convert mixed fraction into fraction Multiply the whole number part by the fraction's denominator, then Add that to the numerator, then write the result on top of the denominator.

$24\frac14\ cm$ can be Rewritten as $\frac{97}{4}\ cm$

Length of the towel bar = $\frac{97}{4}\ cm$

Length of the door = $70 \frac13\ cm$

$70 \frac13\ cm$ can be Rewritten as $\frac{211}{3}\ cm$

Length of the door = $\frac{211}{3}\ cm$

We need to find the distance bar should be place at from each edge of the door.

Solution:

Let the distance of bar from each edge of the door be 'x'.

So as we placed the towel bar in the center of the door it divides into two i.e. '2x'

Now we can say that;

$\frac{97}{4}+2x=\frac{211}{3}\\\\2x=\frac{211}{3}-\frac{97}{4}$

Now we will take LCM to make the denominators common we get;

$2x=\frac{211\times4}{3\times4}-\frac{97\times3}{4\times3}\\\\\\2x= \frac{844}{12}+\frac{281}{12}$

Now denominators are common so we will solve the numerators.

$2x =\frac{844-291}{12}\\\\2x=\frac{553}{12}\\\\x=\frac{553}{12\times2} =\frac{553}{24}$

Or $x=23\frac{1}{24}\ cm$

Hence The towel bar should be placed at a distance of $23\frac{1}{24}\ cm$ from each edge of the door.

8 0

4 years ago

Read 2 more answers

For the given triangles select the lengths of the sides.

aivan3 [116]

Answer:

v=3

u=6

x=2√2

y=2√2

Step-by-step explanation:

First triangle :

tanΦ=v/3√3

tan30=v/3√3

(√3)/3=v/(3√3)

Cross multiply

(√3)/3 x 3√3=v

(√3 x 3√3)/3=v

(3√9)/3=v

(3x3)/3=v

9/3=v

3=v

v=3

Sin30=v/u

0.5=3/u

Cross multiply

0.5xu=3

0.5u=3

Divide both sides by 0.5

0.5u/0.5=3/0.5

u=6

Second triangle :

sin45=x/4

Cross multiply

x=4 x sin45

x=4 x (√2)/2

x=2√2

Cos45=y/4

Cross multiply

4 x Cos45=y

4 x (√2)/2=y

(4√2)/2=y

2√2=y

y=2√2

5 0

3 years ago

Determine if the two triangles are congruent. If they are, state how you

Anna71 [15]

Not enough information

Explanation: in order for them to be congruent it must have at least two equal sides or 2 equal angles

5 0

4 years ago

What is he first step in solving the equation (*x*-6)2=9

What is he first step in solving the equation (x-6)2=9