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Serga [27]
3 years ago
5

Solve the following equation show your work x^2-4=0

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

x = 2, x = - 2

Step-by-step explanation:

Step 1:

x² - 4 = 0            Equation

Step 2:

x² = 4         Add 4 on both sides

Step 3:

x = \sqrt{4}       Square 4

Answer:

x = 2, x = - 2

Hope This Helps :)

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astraxan [27]

2 to the power of 6 is 64.

6


5 0
3 years ago
Find the area of the shaded region. Do not label your answer. Help ASAP!!!!!!!!
Alina [70]

Answer:

103.58

Step-by-step explanation:

Find the total area of the shape

L*W=A

8*13=104m

Find the area of the triangle, since the top of the shape is 13m then the bottom is also 13m.

4+4=8

13-8=5

So the base of the triangle cutout is 5m

Now find the area of the triangle. The formula for this is:

A=1/2 * base/height

A=1/2 * 5/6

A of triangle= 5/12m

104 - 5/12 =103.58m

5 0
3 years ago
 A lawn sprinkler sprays water in a circular area of grass. The diameter of the circular area of grass is 15 ft.   What is the a
kykrilka [37]

Answer:

56.25\pift² or 176.715 ft²... it depends of if you round or not

Step-by-step explanation:

area = πr², r=7.5, 7.5*7.5=56.25

7 0
2 years ago
Choose the correct fraction and decimal equivalent for 78%.
vazorg [7]

Answer: 0.78 and 39/50

<h3>Explanation:</h3>

What we know:

  • We need to find 78% as a fraction and decimal

How to solve:

The decimal is easy enough, and then the fraction can be found from there. D will represent decimal, p will represent percentage, and F will represent fraction.

<h3>Process:</h3>

Decimal

Set up equation                                                 D = p / 100

Substitute                                                           D = 78% / 100

Simplify                                                               D = 0.78%

Remove % sign                                                  D = 0.78

Fraction

Set up equation                                                 F = p / 100

Substitute                                                           F = 78% / 100

Remove % sign                                                  F = 78 / 100

Simplify if needed                                            F = /2    /2

                                                                           F = 39 / 50

Solution: 0.78 and 39/50

Check:

Multiply the decimal by 100 to check the decimal

0.78 x 100 = 78; 78%

Divide the fraction to check the fraction

39/50 = 0.78; see above

8 0
2 years ago
Read 2 more answers
Solve each equation 3x^2=80
Lapatulllka [165]

Answer:

x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

or

x = \frac{\pm4\sqrt{15}}{3}

Step-by-step explanation:

Hello!

Use the quadratic formula: x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

First, let's convert our equation to standard form of a Quadratic: ax² + bx + c = 0

3x² = 80

3x² - 80 = 0

Note, thats the value of b will be 0, as there is no "bx"

Now, solve:

  • x = \frac{-(0) \pm \sqrt{(0)^2 - 4(3)(-80)}}{2(3)}        Plug in values
  • x = \frac{\pm\sqrt{960}}{6}                              Simplify the radical (Discriminant)
  • x = \frac{\pm8\sqrt{15}}{6}                              Pull out perfect squares
  • x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}              Reduce factors

 

The solutions are x = \frac{4\sqrt{15}}{3}, x = \frac{-4\sqrt{15}}{3}

5 0
2 years ago
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