whats (x-3/4)^2 - 5 = 4 using the square root property?

please have an explanation; will give brainliest

answer: -9/4 and 15/4

Answers

Answer 1

Answer:

  x = {-9/4, 15/4}

Step-by-step explanation:

To use the square root property to solve the quadratic, you need to get it to a form where the square root function can be usefully applied. That will mean having a square of a binomial on one side of the equal sign, and a constant on the other side of the equal sign.

We can get that from the given equation by adding 5 to both sides.

  (x -3/4)^2 -5 = 4 . . . . . . given

  (x -3/4)^2 = 9 . . . . . . . add 5 to get the square by itself

  x -3/4 = ±3 . . . . . . . . . take the square root

  x = ±3 +3/4 = {-9/4, 15/4} . . . . add 3/4 and expand the result


Related Questions

yall I need help with Algebraic Experrion could yall like help me with a & b & c with the work it would really help me

Thank you! <3

Answers

Answer:

A) is 9b

B) is 2

C) is 3y+6

Step-by-step explanation:

A) (b)(2+7)

=(b)(2) + (b)(7)

= b2+b7

=b9

B) (2)(4-3)

= (2)(1)

= 2

C) 3(2+y) =(3)(2+y)

=(3)(2)+(3)(y)

=6+3y

=3y+6

The measure of the
central angle of a circle
is 74°. What is the
measure of the
intercepted arc?

Answers

Answer: 74 degrees

Step-by-step explanation:

The measure of a central angle is equal to the measure of the arc that it intercepts.

Do not understand it??

Answers

Real numbers from 0 to 32

PLEASE HELP HURRY! I HAVE AN F IN MATH!!!
A prism is completely filled with 64 cubes that have edge lengths of 12 in.

What is the volume of the prism?

Enter your answer in the box.

__ in³

Answers

Answer:

Step-by-step explanation:

Volume of cube = edge³

                           = 12*12*12

                           = 1728 in³

Volume of prism = volume of 64 cubes

                            = 64 * volume of a cube

                            = 64 * 1728

                            = 110592 in³

8 ounces ____ 1/4 pound
Which one is bigger,equal or less

Answers

Answer:            GREATER                                                                                                                          

Step-by-step explanation:

1/4 of a pound is 0.125 divided by 4 please correct if wrong 8 ounces to a pound would be 0.5/0.50

10. The number of people who have heard a rumor increases exponentially. If all who hear a rumor repeat it
to two people per day, and if 20 people start the rumor, the number N(t) of people who have heard the
rumor after t days is given by N(t) 20(2).
a. After what amount of time will 1000 people have heard the rumor?
=
1000 people will have heard the rumor
by 6 days.
1000 = 2012)
20
20
Soat
2t - 50
10g (50) = +
5.643856
b. What is the doubling time for the number of people who have heard the rumor?
+

Answers

Answer:

2000 is the answers.............

A dilation produces a smaller figure. Which is a possible scale factor? –2 One-third 1 4

Answers

Answer:

1/3 (one-third)

Step-by-step explanation:

A scale factor that produces an image smaller than the original figure is less than 1. A scale factor that produces an image bigger than the original figure is more than 1.

Thus, the only option that's less than 1 is one-third.

PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!!

Answers

Answer:

option c

Step-by-step explanation:

Quadratic function in vertex form:

y = a(x - h)² + k

Where (h, k) is the vertex

vertex(5 , 12)

y = a(x - 5)² + 12

This passes through (8, 9)

9 = a(8 - 5)²  + 12

9 = a(3)² + 12

9 = 9a + 12

9 - 12 = 9a

9a = -3

a = -3/9

a = -1/2

[tex]Answer:\ y = \dfrac{-1}{3}(x - 5)^{2}+12[/tex]

A piece of art is in the shape of an equilateral triangle with sides of 15 in.
What is the area of the piece of art to the nearest tenth?
O 73.45 inches squared
84.5 inches squared
O 97.4 inches squared
169 inches squared

Answers

Answer:

97.4 inches squared

Find the factors pairs of 78

Answers

Answer:

Therefore, the pair factors are (1, 78), (2, 39), (3, 26), and (6, 13).

Give me brainliest answer

Answer:

1 x 78, 2 x 39, 3 x 26, 6 x 13

Step-by-step explanation:

Factors of 78 are 1, 2, 3, 6, 13, 26, 39, and 78.

It is never helpful to rewrite a quadratic equation in standard form as a first
step in solving it.
True or False

Answers

Answer:

false and can you please help me on my last question i posted its bout john henry

Step-by-step explanation:

The line of best fit for a scatter plot is shown (6.04)

Answers

Answer:

y- 1/2x+8

Step-by-step explanation:

the slope is negative 1/2

Given: ABCD is a parallelogram GEC ∠GEC≅∠HFA and AE ≅ FC .
Prove: △GEC≅△HFA.

Answers

Answer:

Step-by-step explanation:

3) Congruent segments added to congruent segments form congruent segments

4) [tex]\overline{AD} \parallel \overline{BC}[/tex] (opposite sides of a parallelogram are parallel)

5) [tex]\angle FAH \cong \angle GCE[/tex] (if 2 parallel lines are cut by a transversal, the alternate interior angles are congruent)

6) [tex]\triangle GEC \cong \triangle HFA[/tex] (ASA)

Solve both Question related to Volume of Solids. 50 Points​

Answers

Given for the cone:

base radius: 3aperpendicular height: 4a

given for the spheres:

radius: a

Find volume of cone:

[tex]\sf \hookrightarrow \dfrac{1}{3} \pi r^2h[/tex]

[tex]\sf \hookrightarrow \dfrac{1}{3} \pi (3a)^2(4a)[/tex]

[tex]\sf \hookrightarrow 12\pi a^3[/tex]

Find volume of sphere:

[tex]\sf \hookrightarrow \dfrac{4}{3} \pi r^3[/tex]

[tex]\sf \hookrightarrow \dfrac{4}{3} \pi a^3[/tex]

Divide volume of cone by volume of sphere:

[tex]\sf \hookrightarrow \dfrac{12\pi a^3}{ \dfrac{4}{3} \pi a^3}[/tex]

[tex]\rightarrow 9[/tex]

Therefore proved 9 such spheres can be made using the metal cone.

We know that volume of cone is [tex]12\pi a^3[/tex]

[tex]\sf \rightarrow 12\pi a^3 = 12936[/tex]

[tex]\sf \rightarrow a^3 = \dfrac{12936}{12\pi}[/tex]

[tex]\sf \rightarrow a = \sqrt[3]{\dfrac{12936}{12\pi}}[/tex]

[tex]\sf \rightarrow a =7[/tex]

Therefore the radius of sphere is 7 cm

An ostrich is
running at a speed
of 43 miles per
hour
Is it proportional or non proportional

Answers

The relationship iof the ostrich running at 43 miles per hour is proportional.

Speed of the ostrich

Since speed = distance per unit time

The speed of the ostrich is 43 miles per hour. This means that the ostrich covers a distance of 43 miles every hour.

Since the ostrich always covers a distance of 43 miles every hour, we see that distance is proportional to time.

So, the relationship iof the ostrich running at 43 miles per hour is proportional.

Learn more about proportionality here:

https://brainly.com/question/24868934


A line passes through the point (-10,-7) and has a slope of
2 Write an equation in slope-intercept form for this line.

Answers

Answer: Below

Step-by-step explanation:

so using slope intercept form, we know that y = mx + b. We plug in our values. Since -10 is the x value and -7 is the y value, and 2 is the slope:

-7 = 2(-10) + b

Simplify.

-7 = -20 + b
13 = b

We plug b into the slope intercept form, this time without an x or y value to make it apply to all points on the line.

y = 2x + 13

That's our answer.

Factor the expression. 81x^2 - 121

Answers

[tex]81x^{2} -121=(9x-11)(9x+11)[/tex]

Hope that helped!

Factoring:

     [tex]81x^2-121=(9x+11)(9x-11)[/tex]

Hope that helps!

Find the commission on a sale of $600 with a 5% commission rate.
$15
$30
$50
$45
Pls help me

Answers

Answer:

30

Step-by-step explanation:

5% of 600 is 30 so that should be ur answer

+
Question 9 (Multiple Choice Worth 5 points)
(05.02 MC)
The angles shown below are supplementary:
10x
70°
What is the value of x?
O 100
O 110
O 20°
021

Answers

Answer:

x=11

Step-by-step explanation:

supplementary angles add up to 180 degrees

10x + 70 =180

10x = 110

x=11

11x10 = 110  

 110+70 = 180

f(x) = 6x + 4. Find the inverse of f(x).

A. f^-1(x) = 6x - 4

B. f^-1(x) = x-6/4

C. f^-1(x) = 4 - 6x

D. f^-1(x) = x-4/6

Answers

D. f-1(x) = x-4/6

Step-by-step explanation:

y = 6x + 4

-4

y-4 = 6x

÷6

y-4/6 = x

(Swap y and x around to find the inverse)

Inverse will be:

x - 4/6 = y

So, f-1(x) = x-4/6

Hope this helps!

1. Assume that segments that appear to be tangent are tangent.

Find ML to the nearest tenth.

2. Assume that segments that appear to be tangent are tangent.

Find WY.

Answers

1. Applying the pythagroean theorem, ML = 6.4.

2. Applying the two tangents theorem, WY = 37.

What is the Two Tangents Theorem?

The two tangents theorem states that two tangents drawn from a circle to meet at a point outside the circle are congruent.

Thus:

1. ΔJKL is a right triangle, find JL using the Pythagorean theorem:

JL = √(16² - 9.6²)

JL = 12.8

Therefore:

ML = 1/2(JL)

ML = 1/2(12.8) (radius of circle)

ML = 6.4.

2. Based on the two tangents theorem, we have:

43 - 2x = 12x + 1

-2x - 12x = -43 + 1

-14x = -42

x = 3

WY = 43 - 2x

Plug in the value of x

WY = 43 - 2(3)

WY = 37

Learn more about the two tangents theorem on:

https://brainly.com/question/9892082

evaluate the expression 6n^2-15 when n=5

Answers

Hey there!

6n^2 - 15

= 6(5)^2 - 15

= 6(5^2) - 15

= 6(5 * 5) - 15

= 6(25) - 15

= 150 - 15

= 135


Therefore, your answer is: 135


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A person rolls a standard six-sided die 6 times. In how many ways can he get 3 fours, 2 ones, and I two?

Answers

Answer:

Good afternoon! no. of ways = 10! / [ 6! * 3! * 1!]

= 840

So the answer is 10.

_AnnieTheDreamGirl, 3/8/2022

help please, i dont know how to do this

Answers

Answer:

they are not simular

Step-by-step explanation:

one has longer sides then the other and one has shorter sides

Logan has a budget of $400 to have family pictures taken. There is a sitting fee of $38. Prints cost $25 per page. How many pages of prints can Logan order?​

Answers

Answer:

14

Step-by-step explanation:

You take the 400 and you minus 38 you get 362 then u divide that by 25 you get 14.48. I personally would just go with 14

ayuda por favor
Resta: 4805 - 1568

Answers

Answer:

4805 - 1568 = 3237

Please mark as brainliest;)

Explain how to use the Zero-Product Property to find the solution of the equation 3x(x – 6) = 0.

Answers

Answers: set the expression 3x equals to 0 and set the expression x-6 equal to 0, then solve both equations for x

Step-by-step explanation: x = 0, x = 6

If 60% of a number is 90, what is the number

Answers

Answer:

60% in a fraction is: 60/100

60/100 of a variable, x, is equal to 90.

So we format it this way and solve for x;

60/100 * x = 90

60/100x = 90

0.6x = 90

/0.6    /0.6

x = 150, is the number.

the number would be 150

What does mean mean on sports teams

Answers

Answer:

Physical activy used for pleasure.

Step-by-step explanation:

It's just a meaning so I can't provide an explanation.

I don't understand how the problem wants me to set up the equation, much less how to find the right answer.

Answers

Two things to remember first remember that in the given eq:
V=4/3piR^3 where r = radius
So we know we just need to plug the given equation for radius.
Where radius = 2x^3y^-4
V= 4/3pi(2x^3 * y^-4)^3
Remember the exponent rule: (a*b)^n = a^n*b^n
Also remember the negative exponent rule
X^-n = 1/x^n
Now with this:
V= 4/3 * pi(8x^9/y^12)
V= 32pi*x^9/3y^12
Or A
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