1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
____ [38]
3 years ago
7

If 4x^2 - 100 = 0 then the roots of the equation are

Mathematics
2 answers:
iVinArrow [24]3 years ago
8 0
4x² - 100 = 0
<u>     + 100  + 100</u>
         <u> 4x²</u> = <u>100</u>
          4        4
           x² = 25
            x = <u>+</u>5
 4(5)² - 100 = 0
4(25) - 100 = 0
  100 - 100 = 0
               0 = 0

4(-5)² - 100 = 0
 4(25) - 100 = 0
   100 - 100 = 0
                0 = 0

The roots of the equation is positive or negative 5.
Alex17521 [72]3 years ago
6 0
4x^2-100=0
4x^2=100
x^2=100/4
x^2=-25
x=5 or x=-5
You might be interested in
What is the area of the shaded part of the figure if =14
aniked [119]

The area of the shaded part is: 42.14 ft² .

<h3>Area of Square</h3>

Area = s²

<h3>Area of Quarter Circle </h3>

Area = 1/4πr²

Thus:

Area of the shaded part of the figure = area of square - area of quarter circle

Area of shaded part = s² - 1/4πr²

s = 14 ft

r = 14 ft

Substitute

Area of shaded part = 14² - 1/4(3.14)(14²)

= 42.14 ft²

Therefore, the area of the shaded part is: 42.14 ft² .

Learn more about area of square on:

brainly.com/question/813881

4 0
2 years ago
Evaluate the following rational equations below, and identify which rational equation is transformable to a quadratic equation.
ladessa [460]

Answer:

  • 2m^2 + 14m - 81 = 0

Step-by-step explanation:

<u>It looks like</u>

  • (m + 7)/9 = 18/4m

<u>Cross-multiplication:</u>

  • 4m(m+7) = 9*18
  • 2m(m+7) = 9*9
  • 2m^2 + 14m = 81
  • 2m^2 + 14m - 81 = 0

Here is the quadratic equation

7 0
3 years ago
Examine the expanded form.<br><br> a ∙ a ∙ a ∙ a ∙ a ∙ a ∙ a
Juliette [100K]

Answer:

a^7

Step-by-step explanation:

a to the 7th power

6 0
4 years ago
12 yellow balls and 9 red balls are placed in an urn. Two balls are then drawn in succession without replacement. What is the pr
denis23 [38]

Answer:

\frac{9}{35}

Step-by-step explanation:

When the first draw is done there are 9 red balls in a sample size of 21. So there probability of drawing a red ball will be \frac{9}{21}

When the second draw is done, there will be 12 yellow balls in a sample size of 20 since the first ball will not have been replaced into the bag. So the chance of someone drawing the second ball in the second draw is \frac{12}{20}

The probability of them happening in this order is the product of both probabilities:

\frac{9}{21}  * \frac{12}{20}  = \frac{9}{35}

8 0
3 years ago
Gabi tried to solve an equation step by step.
Mkey [24]

Answer:

didn’t make a mistake

Step-by-step explanation:

8 0
4 years ago
Other questions:
  • Sandra's dog weighs 3 1/2 pounds. Each dog he gains 2/3 of a pound. If he continues to gain this much weight each week, how much
    11·1 answer
  • Elena drank 5 bootles of water over 7 volleyball pracitces. how much water did elena drink each practices if she drank the same
    6·1 answer
  • Does 2 and 1/4 like it is written on the black board next door mean :
    14·1 answer
  • Please Help!!!
    6·1 answer
  • Find the following sums. Please help.
    10·1 answer
  • The ratio of boys to girls in Mr. Green's
    11·1 answer
  • Miss Hamel and Miss Nelli spent the same amount of money at Target on Black Friday. Miss Hamel bought an $88 bike to donate for
    13·1 answer
  • Investors buy a studio apartment for $200,000 of this amount they have a down payment of $40,000 Their down payment is what perc
    11·1 answer
  • What is the best measurement to eastimate the volume of a juice box
    15·1 answer
  • Does this set of ordered pairs represent a function? Why or why not? {(–1, 5), (0, –3), (2, 7), (4, 0), (7, 5)} A. No, because t
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!