Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

Answer:

33.3

Step-by-step explanation:

tan A = opp/adj

tan 39° = 27/x

x tan 39° = 27

x = 27/(tan 39°)

x = 33.3

Answer:

Please specify what the three expressions are.

Step-by-step explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

[tex]2(x-3)=2x-6[/tex]

Then, by evaluating it, you would get:

[tex]2x-6=2x-6[/tex] by distribution over subtraction.

[tex]2x-6+6=2x-6+6[/tex] by the additive property of equality

[tex]2x=2x[/tex] Simplify.

[tex]x=x[/tex] by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes :)

Step-by-step explanation:

Answer: I still don't know x and y or whatever

Step-by-step explanation:

Answer:

(x^2 + 2x - 21) sq units

Step-by-step explanation:

Area of the shaded region = Area of the larger rectangle - Area of smaller rectangle

Area of the larger region = x(x+2)

Area of the larger region =x^2 + 2x

Area of the smaller rectangle = 3 * 7

Area of the smaller rectangle = 21 sq. units

Area of the shaded region = x^2 + 2x - 21

Hence the required expression is (x^2 + 2x - 21) sq units

Answer:

1/2

Step-by-step explanation:

Answer:

29.4

Step-by-step explanation:

mC = 180 - 46 - 105 = 29

By Law of Sines: c/sin C = a/sin A

19.8/sin 29° = a / sin 46°

19.8/0.484 = a/0.72

a = 29.45 ≈ 29.4

Answer:

50 units

Step-by-step explanation:

First find the length and width by using distance formula.

QR = Square root of 25 =5

RS = Square root of 100 =10

Area = 10×5 = 50

The answer in the mixed fraction form is  6¹¹/₁₂

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here, 4¹/₆+ 2³/₄ = 25/6 + 11/4

                                    = 50+33 / 12

                                    = 83/12

                                    = 6¹¹/₁₂

Hence the answer in mixed fraction is  6¹¹/₁₂

Learn more about mixed fraction here:

https://brainly.com/question/29264210

#SPJ2

Answer:

for the first question i think the answer to your question might be c

Step-by-step explanation:

Answer:

discount=30%

hope it helps.

Answer:

According to tangents secant segments theorem,

11) x(16+x) = (x + 6)^2

x (16+x) = (x + 6)^2

16x + x^2 = x^2 + 2(6)(x) + 6^2

16x + x^2 = x^2 + 12x + 36

16x - 12x + x^2 - x^2 = 36

4x = 36

x = 36/4

x = 4

13) x(x + 5) = (x + 2)^2

x^2 + 5x = x^2 + 2x 2(2)(x) + 2^2

x^2 + 5x = x^2 + 4x + 4

x^2 -x^2 + 5x - 4x = 4

x = 4

14) x + 8( x + 8 + 32) = (3x) ^2

x + 8(x + 40) = 9x^2

x(x + 8) + 40(x + 8) = 9x^2

x^2 + 8x + 40x + 320 = 9x^2

x^2 + 48x + 320 =9x^2

48x + 320 = 9x^2 - x^2

48x + 320 = 8x^2

Dividing the whole eq. by 8,

6x = 40 = x^2

0 = x^2 - 6x - 40

0 = x^2 - 10x + 4x - 40

0 = x(x - 10) + 4(x - 10)

x - 10 = 0 OR x + 4 = 0

x = 10 OR x = - 4

length cannot be negative, so,

x = 10

15) (x + 3) ( x + 3 + 15) = (2x) ^2

(x + 3) (x + 18) = 4x^2

x(x + 18) + 3(x + 18) = 4x^2

x^2 + 18x + 3x + 54 = 4x^2

x^2 + 21x + 54 = 4x^2

0 = 4x^2 - x^2 - 21x - 54

0 = 3x^2 - 21x - 54

Dividing the whole eq. by 3,

x^2 - 7x - 18 = 0

x^2 - 7x - 18 = 0

x^2 - 9x + 2x - 18 = 0

x(x - 9) + 2 (x - 9)

x + 2 = 0 Or x - 9 = 0

x = -2 or x = 9

length cannot be negative,so,

x = 9

Answer:

600

Step-by-step explanation:

Well, first you need to make a proportion which will be [tex]\frac{x}{6,000} = \frac{10}{100}[/tex]

x is what we need to find

6,000 is the total people who voted

10% is the percent of 18 to 29 years old

and 100% represents the circle graph because all circle graphs equal 100%

First, we use the cross multiply method, for instance, 6,000×10=60,000

Next, divide 60,000÷100 which is 600.

Therefore there are 600, 18 to 29 year olds who voted in the election.

Answer:

60 minutes

Step-by-step explanation:

You need to continue the straight line to the point (10, 100) and read off the graph for 6 miles.

Answer:

1) 122 2)58

Step-by-step explanation:

Answer:

m1 = 122°

m2 = 58°

Step-by-step explanation:

angle 1 = 122° rule of vertical angles

180° -122° = 58°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

if x is the number of years she is working that the equation would be: 24,500+x*((3/100)*24,500)

Step-by-step explanation:

For her 4th year x would be 4, so for the equation above x=4:

24500+4*((3/100)*24500)=27440

Answer:

x = 4

Step-by-step explanation:

The mid segment is half the sum of the parallel bases, that is

[tex]\frac{1}{2}[/tex] (2x + 3x + 10) = 15 ( multiply both sides by 2 )

5x + 10 = 30 ( subtract 10 from both sides )

5x = 20 ( divide both sides by 5 )

x = 4

Answer:

Teresa will have $28,200 if she takes her money out after 8 years.

Step-by-step explanation:

To be able to find the answer, you have to use the formula to calculate the future value:

FV=PV(1+i/n)^(n*t)

FV=future value

PV=present value= $20,000

i=interest rate= 0.043

n=number of compounding periods per time unit= 12

t=time in years= 8

Now, you can replace the values on the formula:

FV=20,000*(1+(0.043/12)^(12*8)

FV=20,000*1.41

FV=28,200

According to this, the answer is that Teresa will have $28,200 if she takes her money out after 8 years.

Answer:

62

Step-by-step explanation:

it has to add up to 180 do 118 plus 62 is 180

Answer:c

Step-by-step explanation:

Answer:

1,3 and 2,4

Vertical angles are opposite and congruent to each other.

Answer:

2,4 and 1,3

Step-by-step explanation: It's the answers trust

Answer:

(x+12)(x-7)

Step-by-step explanation:

12 and -7 add to 5, and multiply to -84

Answer: its the first one i think

Step-by-step explanation

Answer:

87,069.6 cm³

Step-by-step explanation:

V = (4/3)πr³

r = d/2 = 55 cm/2 = 27.5 cm

V = (4/3)(3.14)(27.5 cm)³

V = 87,069.6 cm³

Answer:

CHEESE

Step-by-step explanation:

CHEESE IS ALWAYS THE ANSWER!!!

Answer:

this work is very difficult

Answer:

X = 4.2

Step-by-step explanation:

3.6 x 4.2(x) + 4.8 = 19.92

I hope this helped!!

Answer:

160

Step-by-step explanation: