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Nata [24]
3 years ago
6

Solve the equation using square roots 3x^2-48=0

Mathematics
1 answer:
kari74 [83]3 years ago
5 0
<span>Simplifying 3X2 + -48 = 0
</span><span>Reorder the terms: -48 + 3X2 = 0
</span><span>Solving -48 + 3X2 = 0
</span>Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
<span>Combine like terms: -48 + 48 = 0 0 + 3X2 = 0 + 48 3X2 = 0 + 48 </span><span>Combine like terms: 0 + 48 = 48 3X2 = 48
</span><span>Divide each side by '3'. X2 = 16
</span><span>Simplifying X2 = 16
</span><span>Take the square root of each side: X = {-4, 4}</span>
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Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1
nikdorinn [45]

Answer:

<em>Area of polygon D = 10 square units</em>

Step-by-step explanation:

<u>Given:</u>

Polygon <em>C </em>has an area of 40 square units.

It is scaled with a scale factor of \frac{1}2 to form a new polygon D.

<u></u>

<u>To find:</u>

The area of polygon D = ?

<u>Solution:</u>

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

  • First of all, let us consider a right angled triangle with sides <em>6, 8 and 10 units.</em>

Area of a right angled triangle is given by:

A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units

If scaled with a factor \frac{1}{2}, the sides will be 3, 4 and 5.

New area, A':

A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A

i.e. Area becomes one fourth.

  • Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = Length \times Width = 8 \times 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 \times 5 =20 sq units

So, \bold{A' = \frac{1}4 \times A}

Now, we can apply the same in the given question.

\therefore Area of polygon D = \bold{\frac{1}{4}}\times Area of polygon C

Area of polygon D = \bold{\frac{1}{4}}\times 40 = <em>10 sq units</em>

4 0
2 years ago
Jaiden's pen pal from Mexico said that he lives 3.3 kilometers from school. Jaiden knows
marissa [1.9K]

Answer:

2 miles

Step-by-step explanation:

3.3 kilometers to miles is 2.0505. I'm not sure if this question want you to round, but if it does, the answer would be 2 miles.

To get your approximate answer, multiply 3.3 (kilometers) by 0.62 (miles).

You get 2.046 if you multiply it by 0.62 like the question says to do.

3 0
3 years ago
Read 2 more answers
Are these parallelograms or not?
Scrat [10]
Can’t see what you’re talking about
8 0
3 years ago
Pls pls help I no understand
vazorg [7]

Answer: 2p+1.50=11.50

               p = 5.00

<u>Step-by-step explanation:</u>

<em>Note: the tip is calculated on top of the total so this figure is a redherring</em>

<u>2 pancakes</u> <em>plus</em> <u>1 fruit cup</u> <em>equals</em> <u>total bill</u>

          2p       +        1.50          =         11.50

2p + 1.50 = 11.50

<u>      - 1.50 </u> <u> - 1.50  </u>

 2p         = 10.00

<u>÷2          </u>    <u> ÷2       </u>

    p         =  5.00

8 0
3 years ago
How do you express equivalent equation
ExtremeBDS [4]
Http://www.icoachmath.com/math_dictionary/equivalent_equations.html

Here's a website that might help
8 0
3 years ago
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