Solve 64x2 - 121 = 0 using square roots.

Answers

Answer 1

Using the square root property to solve this 64x² - 121 = 0, the value of x is - 11 / 8 and 11 / 8.

How to solve quadratic equation using square root property?

64x² - 121 = 0

add 121 to both sides of the equation

64x² - 121 + 121 = 0 + 121

64x²  = 121

divide each term by 64 and simplify

64x² / 64  = 121 / 64

x² = 121 / 64

Take the square root of both sides of the equation to eliminate the exponent on the left side

√x² = ±√ 121 / 64

Simplify the right side of the equation.

x = ± 11 / 8

Therefore,

x = 11 / 8, - 11 / 8

learn more on square root property here: https://brainly.com/question/3506989


Related Questions

This box plot displays information about the number of text messages some students sent one day.


What is the median number of texts sent by the students?

What is the IQR ?

P.S Please don't troll I really need help ​

Answers

Answer:

Median is between 10 - 15 so you could estimate it to = 14. IQR = 10.

Step-by-step explanation:

Median is an estimate based on the box plot and IQR is the is the differene between Q3 and Q1,

The problem is the screenshot

Answers

Answer: 0 5 10

Step-by-step explanation:

y = 5(0)

y = 0

y = 5(1)

y = 5

y = 5(2)

y = 10

Determine the current temperature in degrees Celsius if the current temperature is 89 degrees Fahrenheit in Alberta, Canada. Round the final answer to the nearest whole number. (1 point)
32
56
98
103

Answers

Answer:

32 C

Step-by-step explanation:

According to celsius conversion formula:

C = 5/9*(F-32)

= 5/9*(89-32)

= 5/9*57

Hence, C = 31.666

Rounding it off to the nearest whole number, the answer is 32 C.

A bag of apples weighs 6 2/7 pounds . A crate of bananas is 4 times as heavy as the apples. How much heavier are the bananas than the apples

Answers

18.87 lbs heavier
Work:
6.29 = apple weight
6.29•4=25.16
25.16 = banana weight
25.16-6.29=18.87
18.87 is the difference between the apples and bananas so therefore is how much heavier the bananas are

Call the weight of the bag of apples as x (x = 6 2/7)

Since the crate of bananas is 4 times as heavy as the apples -> the crate of bananas = 4x

So, to find the weight difference, we minus those : 4x - x = 3x

Now we convert this : 3x = 3 x 6 2/7 = 132/7

Convert to :
Mixed : 18 6/7
Decimals (3 d.p) : 18.857...

What is the equation of a hyperbola with a = 8 and c = 20? Assume that the transverse axis is horizontal.

Answers

Answer:

[tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Step-by-step explanation:

The equation of hyperbola is given by:

[tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} }[/tex]

Where [tex]c^{2} =a^{2} +b^{2}[/tex]

∵ [tex]a=8,c=20[/tex]

∴ [tex]b^{2} =c^{2} -a^{2}[/tex]

⇒ [tex]b= \sqrt{20^{2} -8^{2} } =4\sqrt{21}[/tex]

Now, [tex]\frac{x^{2} }{a^{2} } -\frac{y^{2} }{b^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{8^{2} } -\frac{y^{2} }{y(4\sqrt{21} )^{2} } =1[/tex]

⇒ [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hence, equation is [tex]\frac{x^{2} }{64} -\frac{y^{2} }{336} =1[/tex]

Hope this helps,

ROR

Reflection across the line y=2 (1,4) (4,4) (1,2) (3,2)

Answers

Answer:

A(0,1) B(0,4) C(1,2) D(3,2)

Step-by-step explanation:

Which of the following equations is CORRECT?
A. (a + b) (a – b) = a 2 + b 2
C. (a + b) (a – b) = a 2 + ab + ab + b 2
B. (a + b) (a – b) = a 2 − b 2
D. (a + b) (a – b) = a 2 − ab − ab − b 2

Answers

Answer:

Option C, the second one. (B and C are switched)

Step-by-step explanation:

a * a = a2

a * b = +ab

⬇️

2ab

⬆️

b * a = +ba or +ab

Two b's make b2 and don't worry, even with the negative sign it is a b2.

John Travolta flew his plane last weekend. What would be the angle measure of∠x when his plane reached an altitude of 2500m?

Answers

Answer:

67°

Step-by-step explanation:

Ignore the 2500m for now.

To find angle x, we know that the sum of the degrees in a triangle is 180. We see that under the 2500m there is a square, indicating that the angle is 90 degrees.
So we can do 180-23-90 = 67.

Therefore, the angle measure of ∠x is 67°

The cone has a height of 6 and a diameter of 3 inches. What is the volume?

Answers

Answer:

14.14

Step-by-step explanation:

We know that to calculate volume of a cone you must do π r^2*h/3

so we can divide the diameter by 2 to find the radius and just input the radius and height into the formula to get 14.14

Al vender una computadora, un vendedor descuenta el 15%, y aun así gana el 35%, del costo. ¿qué %del costo es el precio de venta?

Answers

Veremos que el precio de venta es el 158% del costo.

¿Que porcentaje del costo es el precio de venta?

Sabemos que con el descuento del 15%, el vendedor gana 35% del costo.

Es decir, si el costo es C, entonces el precio al que se vende la computadora es:

P' = (1 + 0.35)*C = 1.35*C

Pero, esto es con un 15% de descuento. Entonces si el precio de venta es P, tendremos:

P' = (1 - 0.15)*P = (0.85)*P

Reemplazando esto arriba tenemos:

(0.85)*P =  1.35*C

Resolviendo para P:

P = 1.35*C/0.85 = 1.58*C

Para obtener el porcentaje, multiplicamos el coeficiente por 100%.

1.58*100% = 158%.

Es decir, el precio de venta es el 158% del costo.

Sí quieres aprender más sobre porcentajes puedes leer:

https://brainly.com/question/843074

What is an angle that is supplementary to
I’m so close to being done with this so please help

Answers

Answer:

<GBF

Step-by-step explanation:

Supplementary angles add up to = 180 degrees. Usually, they are side by side in transversals such as this one. The angle supplementary to <GBH is <GBF or <FBG.

Hope this helps!

Pahelp pi pls...:-D

Answers

Step-by-step explanation:

2)D

3)A

4) B

5)C

6)D

7)B

8)B

9)C

10)C

11)A

12)D

p.s Pls at least try to do ur test urself

13) D

Tell whether the triangle with the given side lengths is a right triangle.

24 m, 45 m, 51 m

Yes or No

GIVING TONS OF BRAINLIEST IF YOUR ANSWER IS CORRECT!!

Answers

I believe the answer is Yes
No, because right triangle is 90 degrees

P'(8,-2) is the image of P after a 180° rotation about the origin. What are the coordinates of P?​

Answers

Answer:

-8,2

Step-by-step explanation:

180 Rotation formula: -x,-y


Given: 8,-2

Apply: -x,-y

Outcome: -8,2

Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..

Answers

Answer:

24

Step-by-step explanation:

you slove the sides and find x

Answer:

x=40 m∠A=100° m∠B=80° m∠C=65°

Step-by-step explanation:

Step 1: Find relationships between the angles (corresponding, alternate exterior, alternate interior, consecutive interior, or consecutive exterior)

Step 2: m∠A + m∠B = 180°

So, (3x-20)° + (2x)° = 180°

Step 3: Solve for x (x=40)

Step 4: Plug in x to the angles

m∠A=  3(40) - 20

m∠B=  2(40)

m∠C=  2(40)-15

Find the surface of the figure.

Answers

Answer:

64 square in.

Step-by-step explanation:

4*4=16

4*6*1/2*4= 48

16+48= 64

Answer:

64in^2

Step-by-step explanation:

Surface area of pyramid =

[tex] \frac{1}{2}( p \times l) + b[/tex]

plugging the numbers in, 1/2(16*6)+16

SA= 64

plssssss helpppppp meeeeeeeee

Answers

Answer:

A

Step-by-step explanation:

i dk im just desperate because the entire community is offline

I think ITS the first one

can u help me pleeeeeeeeeeeease

Answers

42 for the first one and 105 for the second one

Select all the expressions that are equivalent to 4 ^ - 3

Answers

Answer:

B. 2^-6

C. 1/4³

D. (1/4) (1/4) (1/4)

Step-by-step explanation:

4^-3 is the same as 1/4³ so it is equivalent

46-3 = 1/64 so (1/4) (1/4) (1/4) is equivalent because it also equals 1/64

2^-6 is the same as 1/2^6 which equals 1/64 so it is also equivalent

B, C, and D are your answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Which expression is equivalent to i 233?
1
–1
i
–i

Answers

Step-by-step explanation:

i¹ = i

i² = i×i = -1

i³ = -1 × i = -i

i⁴ = -i×i = - -1 = 1

i⁵ = 1×i = i

...

so, when the exponent of i modulo 4 (the remainder when dividing by 4) = 0, then the result is 1.

= 1, then the result is i

= 2, then the result is -1

= 3, then the result is -i

233 modulo 4 = 1 (233/4 = 58, remainder 1).

so, the result is i (the third answer option).

The graph of trapezoid ABCD has coordinates A(–2,–2), B(–3,–4), C(2,–4), D(1,–2)

Answers

Answer:

Can I have a picture of the Graph please?

Factor the polynomials completely, then solve 48x² - 75 = 0​

Answers

Answer:

[tex]x=\frac{5}{4} \text { or } x=-\frac{5}{4}[/tex]

Step-by-step explanation:

48 = 3 × 16

75 = 3 × 25

_________

Then, a Complete factorization of 48x² - 75 is :

[tex]\begin{aligned}48 x^{2}-75 &=3 \times\left(16 x^{2}\right)-3 \times(25) \\&=3 \times\left(16 x^{2}-25\right)\end{aligned}[/tex]

_____________________

Now let’s solve our equation 48x² - 75 = 0

48x² - 75 = 0 means 3 × (16x² − 25) = 0 means 16x² − 25 = 0

[tex]\begin{array}{l}16 x^{2}-25=0 \\\\\Leftrightarrow 16 x^{2}=25 \\\\\Leftrightarrow x^{2}=\frac{25}{16} \\\\\Leftrightarrow x=\sqrt{\frac{25}{16}} \text { or } x=-\sqrt{\frac{25}{16}} \\\\\Leftrightarrow x=\frac{5}{4} \text { or } x=-\frac{5}{4}\end{array}[/tex]

4/15, 5/27, 7/18 Arrange the fractions in ascending order​

Answers

Answer:

Take lcm and see

Step-by-step explanation:

5/27 ;4/15 ;7/18

Write an expression that I’d equivalent to 1/2a - 4. URGENT, LIMITED TIME.

Answers

Answer:

1/2(a-4)

Step-by-step explanation:

first blank is 1/2 and second is 4.

If someone could help me with this I would really appreciate it thank you !!

Answers

Answer:

It should be thirty if i read question properly

If want process pls comment

Answer:

30 in

Explanation: 10/2 =5 4/2=2 6/2=3

5x2=10 10x3=30 in!

What is the measure?

Answers

Answer:

180 - 70 = 110 degrees

Step-by-step explanation:

180 is half a circle, so the half minus 70 is 110

what does T equal to?

Answers

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

=index same

t =4/3

Answer:

4/3)

Step-by-step explanation:

t- 3= 64/27

= 4-3/3-3

= index  same

t = 4/3

- Which of the following would best be solved using completing the square?
A. 22 – 2 – 20 = 0
B. 22 = 36
C. 2x2 + 15x = 6
D. 203 – 3c2 + 45 – 12 = 0

Answers

Answer:

C

Step-by-step explanation:

You can only complete the square with quadratic equations (equations leading with x^2)

C is the only answer choice that leads with x^2

Answer:

A

Step-by-step explanation:

Because you would do 22 _2 _20 and your answer will be zero .

What is the constant term in the expression 6x3y + 8x2 + 5x + 7? (Input a numeric value only.)

Answers

Answer:

7

Step-by-step explanation:

Given expression:

6x³y + 8x² + 5x + 7

The constant is a term that has no variables. Let's verify the terms in the expression to determine which term is the constant.

Determining if 6x³y is a constant:

This term is not a constant because the term includes two variables (x and y).

Determining if 8x² is a constant:

This term is not a constant because the term includes a variable (x).

Determining if 5x is a constant:

This term is not a constant because the term includes a variable (x).

Determining if 7 is a constant:

This term is a constant because the term has no variables.

Learn more about constants: https://brainly.com/question/11977365

Answer:

7

Step-by-step explanation:

The constant term in an expression is the term without a variable.

The variables in this expression are x and y, so the constant term is 7 as this term does not have a variable.

Why do you replace y with 0 when finding the x-intercept of a graph?

Answers

Here’s what you need to know about intercepts. The x intercept of a graph has y coordinate zero. The y intercept of a graph has x coordinate zero.

AN EXAMPLE OF THIS IS:

So if you have a function y = 2x + 8 you would set x = 0 to find the y intercept. So we would get y = 8. To find the x intercept we would set y = 0 and get 0 = 2x + 8

or -8 = 2x or x = -4

Now if you have a more difficult like function y = 3x^2 + 10x - 4 we proceed the same way. To find the y intercept we would set x = 0 and get y = -4 so the y intercept is (0,-4)

To find the x intercept we would set y = 0 and get 3x^2 + 10x - 4 = 0. If you know the quadratic formula you could solve this by:

x = [-b +- SR(b^2 - 4*a*c] / 2a

so in our case x = [-10 +- SR(100 - 4*3*(-4))] / (2*3)

x = [-10 +- SR(100 + 48)] / 6

x = [-10 +- SR (148)] / 6

x = [-10 +- 12.2] / 6 approximately

x = [-10 - 12.2] / 6 or [-10 + 12.2 / 6]

x = -22.2/6 or 2.2/6

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