solve each of the following equations:
[tex] \frac{4 }{9} - \frac{x {}^{2} }{25} = 0[/tex]

Answers

Answer 1

Answer:

[tex] x = 3\frac{1}{3}, \: \: x = - 3\frac{1}{3} [/tex]

Step-by-step explanation:

[tex]\frac{4 }{9} - \frac{x {}^{2} }{25} = 0 \\ \\ = { \bigg( \frac{2}{3} \bigg) }^{2} - { \bigg( \frac{x}{5} \bigg) }^{2} = 0\\ \\ { \bigg( \frac{2}{3} -\frac{x}{5} \bigg) }{ \bigg( \frac{2}{3} + \frac{x}{5} \bigg) } = 0 \\ \\ { \bigg( \frac{2}{3} -\frac{x}{5} \bigg) } = 0, \: \: { \bigg( \frac{2}{3} + \frac{x}{5} \bigg) } = 0 \\ \\ \frac{x}{5} = \frac{2}{3}, \: \: \frac{x}{5} = - \frac{2}{3} \\ \\ x = \frac{10}{3}, \: \: x = - \frac{10}{3} \\ \\ x = 3\frac{1}{3}, \: \: x = - 3\frac{1}{3} \\ \\ [/tex]


Related Questions

Help please , will mark

Answers

Answer:

560

Step-by-step explanation:

Plz Help The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $2.6 billion. What was the leading brands sales? Show your work. I need the shown work, it's an exam.

Answers

Answer:

$0.52 billion

Step-by-step explanation:

Given data

We are given that the total sale in the industry is $2.6 billion

And the leading brand has about 20% of the total sale

Hence the leading brand's sale is

=20/100*2.6

=0.2*2.6

= $0.52 billion

Therefore the leading brand's sale is about $0.52 billion

Which of the following are solutions to the equation below?
Check all that apply.
4x2 - 81 = 0

Answers

are there any more options?

Plz help me :<<<<<
Plzzzzzzz

Answers

Answer:

1. It means he was smiling really happily.

2. It means everything was happening really slow, and it seemed like time stopped for a moment.

3. It means the boy wanted his little sister to stop annoying him.

4. It means they heard it directly from someone who has personal knowledge of it.

5. It means to dismiss or fire someone, in this case the boss fired him from his job.

Which of the following expressions is equivalent to -6x+3 3/4+14x-3.25. A- 2(4x+1/2), B- 2(4x+1/4), C- 2(4x-1/4),D 2(4x-1/2)

Answers

Answer:

A^2 + B^2 = C^2.

Step-by-step explanation:

If f(1)=9 and f(n-1)+5 then find the value of f(6)

Answers

Answer:

f-3+6

because f=9

Step-by-step explanation:

Answer:

it 34

Step-by-step explanation:

Giselle spent 7/10 of her money on a book and 10/100 of her money on food. What fraction of her money did she spend altogether?

Answers

Answer:

80/100 or 80%

Step-by-step explanation:

7/10 = 70/100

70/100 + 10/100 = 80/100

Answer:

She spent 80/100 or 8/10 of her money on food.

Step-by-step explanation:

You can multiply 7/10 by 10 to get 70/100, then add it with 10/100. You're finally result would be 80/100. If supposed to be simplifed, choose 8/10

A bag holds 6 green, 9 red and 4 blue marbles a marble is selected at random what is the probability of not selecting a red marble?

Answers

Answer:

The probability of not selecting a red marble, P(R)'  = 10/19

Step-by-step explanation:

The probability of an event occurring is equal to the number of ways the required event occurs divided by the number of possible outcomes

The number of ways of an event not occurring is 1 less the probability of the event occurring

The number of green marbles in the bag = 6

The number of red marbles in the bag = 9

The number of blue marbles in the bag = 4

The sum of the marbles in the bag, n = 6 + 9 + 4 = 19

The number of ways of selecting a red marble = 9 ways

The probability of selecting a red marble = 9 ways/19 marbles = 9/19

The probability of not selecting a red marble = 1 - 9/19 = 10/19 = [tex]0.\overline{526315789473684210}[/tex]

The probability of not selecting a red marble P(R)' = 10/19

Answer:

The probability of NOT selecting a red marble is 10/19 (or 52.6%)

Step-by-step explanation:

6 green+ 9 red+ 4 blue = 19 marbles in total. So 19 would be our denominator. The total of marbles that IS NOT red is 10 total (6+4). Now we would put 10 as our numerator. 10/19. We could simplify but 10 and 19 have no common factors. So it would but stay 10/19. Hope this helped

who ever i first gets brain

Answers

If I counted the width and height right, then the volume of the rectangle is:
210 units^3

Hope this helps!

Answer:

210 units squared

Step-by-step explanation:

V = l × w × h

V = 3 × 7 × 10

V = 210 units squared

Hope this Helps!

15 is what percent of 25?

Answers

Answer:

60%

Step-by-step explanation:

divide 15/25 and you get 0.6 which is 60 percent

Answer:

5 is X of 25 consider it as an inequality kind of, then solve for x so then divide 25 by 15

15/25 x 100 = 60%

I would love so much if someone could help me. This is due tonight...

Answers

2. it does represent a function because every output has 1 input
3.
a)9
b)13
c)-1
d)-3

Can a rhombus be inscribed in a circle? Why or why not?

A.)Yes, any rhombus can be inscribed in a circle, because the consecutive angles of a rhombus are congruent.
B
Yes, a square is the only rhombus that can be inscribed in a circle, because the opposite angles of a square are supplementary

C. No, no parallelogram can be inscribed in a circle, because the opposite angles are not necessarily congruent.

D. No; no rhombus can be inscribed in a circle, because the opposite angles are not necessarily supplementary

Answers

Answer:

b

Step-by-step explanation:

it isn't c because theres a theorem that says that opposite angles in a parallelogram are congruent

it isn't d because if the opposite angles are 90 and 90 they are supplementary

a is correct, but for the wrong reason

its b

Please help me
Round your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation: what type of math is this

So you have to round the answer first

Write an exponential model given the points ( 7, 12 ) and ( 8, 25 ). Round to the nearest hundredth.

Answers

Answer:

The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].

Step-by-step explanation:

The exponential model can be modelled by the following mathematical expression:

[tex]y = A\cdot e^{B\cdot x}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]A, B[/tex] - Coefficients.

If we know that [tex](x_{1}, y_{1}) = (7,12)[/tex] and [tex](x_{2}, y_{2}) = (8,25)[/tex], then we get the following system of equations:

[tex]A\cdot e^{7\cdot B} = 12[/tex] (2)

[tex]A\cdot e^{8\cdot B} = 25[/tex] (3)

If we divide (3) by (2), we calculate the value of [tex]B[/tex]:

[tex]e^{B}=\frac{25}{12}[/tex]

[tex]B = \ln \frac{25}{12}[/tex]

[tex]B \approx 0.734[/tex]

And by (2), we determine the value of [tex]A[/tex]:

[tex]A = 12\cdot e^{-7\cdot B}[/tex]

[tex]A = 0.0704[/tex]

The exponential model is [tex]y = 0.07\cdot e^{0.73\cdot x}[/tex].

I’m not quite sure how to find the median..

Answers

Answer: the median is 1.

Step-by-step explanation:

first, put the numbers in order from least to greatest. (1,1,1,4,9) then, just find the middle. because the middle is 1, the median is 1.

helppppppppppppppppppppppppppppppppppppp plz

Answers

Answer:

240 cubic feet

Step-by-step explanation:

Volume = length * breadth * height

So

Volume = 6 * 4 * 10

= 240

Hope this helps :)

Answer:

240

Step-by-step explanation:

10 times 4 times 6 equals 240

(Pls help)sally states that the equation g(x)= x^3 + 10^2 - 3x represents a quadratic function. Explain why she is incorrect.​

Answers

SOLVE THE EQUATIONS

help me please. Solve for x

Answers

Answer:

x = 10.46

Step-by-step explanation:

cos 17° = 10/x

0.9563 = 10/x

x = 10.46

On Monday, Homeroom 104 turned in 64 canned goods. This is 17 less than the number of canned goods Homeroom 106 turned in. Select the equation that could be used to find the number of canned goods c Homeroom 106 turned in on Monday.

Multiple choice question.

A)
c−64=17


B)
64−c=17


C)
c+64=17


D)
17+c=64

Answers

Answer:

i think its B) because its a subtraction equation

The equation that represents the total number of canned goods in Homeroom 106 on Monday will be 64 - c = 17. Then the correct option is B.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

On Monday, Homeroom 104 turned in 64 canned goods. This is 17 less than the number of canned goods Homeroom 106 turned in.

Let c be the total number of canned goods in Homeroom 106. Then the equation is written as,

64 - c = 17

The equation that represents the total number of canned goods in Homeroom 106 on Monday will be 64 - c = 17. Then the correct option is B.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Which of these would earn the same interest as a $150 principal at 4%
annual interest for 2 years? Select all that apply.

Answers

Answer:

give a picture or smthing

Step-by-step explanation:

Ed is on a road trip. He has already traveled 225 miles and is driving at a rate of 62 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 605 total miles?

Answers

Answer: 62(x) + 225 = 605

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I hope this helps you, and enjoy the rest of your day!!

help pls if you do something that doesn't make sense I'll report you​

Answers

Answer:

Step-by-step explanation:

E) 5=y

F) x=1.3

G) n=5

H) 5=f

Hope this helps

Answer:

E) 5=y  F) x=0.8

G) n=5  H) 5=f

Step-by-step explanation:

E) 16=2y+6

    -6       -6

10=2y

/2  /2

5=y

F) 4x+6=9.2

        -6   -6

4x=3.2

/4   /4

x=0.8

G) 3n-5=10

        +5 +5

3n=15

/3   /3

n=5

H) 29=6f-1

    +1       +1

30=6f

/6   /6

5=f

By the way, I ran through them and checked them by inserting it back into the equation and they were all good!

Please consider giving me a thanks, a good rating, and Brainliest if you are satisfied with my work. It is always appreciated! Thanks!

a⁵/a³×a⁸ is equal to ​

Answers

Answer:

a^10

Step-by-step explanation:

simplify the expression

a^2 x a^8

then calculate the product

a^2 x a^8

= a^10

What is f(O)? Hint: plug (0) in for the variable d.
f(d) = d? - 5

Answers

Answer:

f(0) = - 5

Step-by-step explanation:

The function:

f(d) = d² - 5

To find the value of f(0), replace d with 0 in the equation and find the result:

f(0) = 0² - 5 = 0 - 5 = -5

I need to solve this triangle. PLSSS help!!!!!!!!!!

Answers

the missing line is 0.4

all triangles equal 180 (or 18.0)

7.1 + 10.5 = 17.6

18.0 - 17.6 = 0.4

the missing line is 0.4 I rlly hope dis helped!!!

Please help please giving out brainless

Answers

Answer:

C

Step-by-step explanation:

The length of arc AC (L) is calculated as

L = circumference of circle × fraction of circle

  = 2πr × [tex]\frac{150}{360}[/tex]

  = 2π × 12 × [tex]\frac{5}{12}[/tex]

 = 2π × 5

 = 10π ≈ 31.42 → C

need help with this problem

Answers

Answer:

t = 0.29p

Step-by-step explanation:

The answer is A 0.29p

Please help me!!

Matt is making a triangle shaped poster for his science class.The area of the poster is 10in ² . If the base is 5in, what is the length of the height?

Answers

Answer:

4 inches

Step-by-step explanation:

as you divide the answer by a half

10×2

=20÷5

=4

Estimate the square root to the nearest tenth.
_/70≈

Answers

Answer:

8.36

Step-by-step explanation:

Point A is at (-2,-7). Find the new coordinates of point A after it is translated 5 units right and 2 units down.​

Answers

Answer:

(3,-9)

Step-by-step explanation:

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