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Afina-wow [57]
1 year ago
6

How do I Simplify 4+9x2÷3-1 ​

Mathematics
2 answers:
Alisiya [41]1 year ago
6 0
Calculate the sum or difference.
Which would give you … 4+6-1
And the answer is 9 .
Lunna [17]1 year ago
3 0

Step-by-step explanation:      

<u>Step 1: Simplify</u>

4+9x^2/3 - 1

=4+3x^2+-1

<u>Step 2: Combine Like Terms:</u>

= 4+3x^2+1-1

= (3x^2)+(4+-1)

Answer: = 3x^2+3

Explanation in words (Short Form)

-  The first step is to use the formula and simplify it. So first we will Rewrite the division as a fraction.

- The second step is to Cancel the common factor of 9 and 3. Then Factor 3 out of 3. After that Cancel the common factor.

- The third step is to divide 3x^2 by 1. Then at the end, subtract 1 from 4. The answer will result as 3x^2+3

Answer:    

=3x^2+3

Hope this helps.

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What is the length of BD?
I am Lyosha [343]

Answer:

10\sqrt{3}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.

Selecting the angle of 60° in triangle ABD:

<em>Sine Ratio </em>

\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}

\displaystyle \sin 60^\circ=\frac{BD}{20}

Solving for BD:

\displaystyle BD=20\sin 60^\circ

Since

\sin 60^\circ=\frac{\sqrt{3}}{2}

\displaystyle BD=20\frac{\sqrt{3}}{2}

Simplifying:

\boxed{\displaystyle BD=10\sqrt{3}}

4 0
2 years ago
How can properties of operations help to generate equivalent expressions that can be used in solving problems ?
svet-max [94.6K]
I’m not the best at math, but ⬇️

For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y
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Heather bought a CD on sale for $11 and a book that cost $14 the sales tax rate is 5% how much tax did Heather pay for both item
Travka [436]
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3 0
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3 years ago
If a triangle is 12 inches high and has a 20 inch long hypotenuse then how wide is it?
Ber [7]

Answer:

The triangle should be 16 inches wide.

Step-by-step explanation:

\text {Use the Pythagorean Theorem to solve for the leg.}\\a^2 + b^2 =c^2

What we know:

  • One of the legs measures 12 inches.
  • The hypotenuse is 20 inches.

We need to solve for b. Solving for a while b is 12 would also be acceptable.

12^2 + b^2 = 20^2  \text {  OR  }   a^2 +12^2=20^2

We will use the first equation.

12^2 + b^2 = 20^2\\12 * 12 = 144\\20 * 20 = 400\\\\\boxed {144 + b^2 = 400}

\text {Subtraction property of equality: }\\144-144+ b^2 = 400-144\\\boxed {b^2 = 256}\\\\\text {Take the square root of 256: }\\\sqrt{256}=\sqrt{b^2} \boxed {16 = b}

The triangle should be 16 inches wide.

3 0
3 years ago
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