Solve by completing the square. Show all steps for full credit. X^2-6x+8=0

Answer: 5sqrt(35)

Step-by-step explanation:

If the ratio of the side lengths is 1:4, since the ratio of the areas is the square of the ratio of the side lengths, the ratio of the areas is 1:16.

This means the area of square ABCD is 14000/16 = 875.

Therefore, AB=sqrt(875)=5sqrt(35).

Interest = principal x rate x time

Interest = 8000 x 0.03 x 6

Interest = $1,440

Answer: $1,440

Answer:

420+15+510+17=962

Step-by-step explanation:

Answer:

the last option: 6x^3 -33x^2 +45x - 6

Step-by-step explanation:

Distribute parentheses

= 3x times 2x^2 + 3x (-7x) +3x times 1 -6 times 2x^2 -6 (-7x) -6 times 1

Simplify

3x times 2x^2 +3x (-7x) +3x times 1 -6 times 2x-2 -6 (-7x) -6 times 1

Answer:

6x^3 -33x^2 +45x - 6

Step-by-step explanation:

We're going to be diving -12 by -4.

What do we need to know?

Integer Rule - when 2 negative numbers multiply or divide, the product/quotient is positive.

Solve using the integer rule:

[tex]-12 \div -4 =3[/tex] is the same as [tex]12 \div 4 = 3[/tex]

3 is your quotient.

Answer:

A. 500 m x 250 m

Step-by-step explanation:

Answer:

the answer is A.

Step-by-step explanation:

I took the test, heheh. sorry, I don't actually have an explanation.

Answer:

23,21 pounds

Step-by-step explanation:

4387/189 = 23,21

Answer:

It is either A or B           But I think/ Believe it is A

Step-by-step explanation:

Have a good day =)

Given that Janelle travels at 65 mph. the number of more hours it will

take her to reach her destination is approximately 5 hours.

Possible part of the question that appear missing are;

The distance Janelle drove in 4 hours = 260 miles

The distance from which she started = 575 miles

Required:

The number of extra hours it will take her to reach her destination

Solution:

The remaining distance = 575 miles - 260 miles = 315 miles

[tex]Speed = \mathbf{ \dfrac{Distance}{Time}}[/tex]

[tex]Janelle's \ average \ speed = \dfrac{260 \, miles }{4 \, hours} = \mathbf{ 65 \, mph}[/tex]

[tex]Time = \dfrac{Distance}{Speed}[/tex]

Which gives;

[tex]Time \ to \ reach \ her \ destination = \dfrac{315 \, miles}{65 \, mph} = 4\frac{11}{13} \, hours \approx \mathbf{ 5 \, hours}[/tex]

The time it takes Janelle to reach her destination ≈ 5 hours

Learn more about average speed during motion here:

https://brainly.com/question/11241290

Answer:

The fraction can be written as 43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

43/50

Step-by-step explanation:

Place the Percentage Value at the top over 100.

= 86/100

On reducing the fraction, we get the exact form: 43/50

Answer:

Step-by-step explanation:

The Pythagorean theorem is sqrt(a^2 + b^ 2) = c, so:

sqrt(22^2 + 8^2) = c

sqrt(548) = c

23.41 = c

Answer:

Its 38.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Perimeter is sum of all the sides.

Perimeter = 9f + g + 5f + 9h + 2h + 7g

                 = 9f + 5f + g +7g + 9h + 2h   {Combine like terms}

                 =  14f + 8g + 11h

Answer:

a and b

Step-by-step explanation:

for A just do 3*4

For B just find out what 36*4 is

Answer:

(5x^2-6)*(2x-7)

Step-by-step explanation:

1.(((10 • (x3)) -  (5•7x2)) -  12x) +  42

2.(((2•5x3) -  (5•7x2)) -  12x) +  42

3. 10x3-35x2-12x+42  is not a perfect cube

4.Factoring:  10x3-35x2-12x+42

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -12x+42

Group 2:  10x3-35x2

Pull out from each group separately :

Group 1:   (2x-7) • (-6)

Group 2:   (2x-7) • (5x2)

              -------------------

Add up the two groups :

              (2x-7)  •  (5x2-6)

5.  Factoring:  5x2-6

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

=  (5x2 - 6) • (2x - 7)

that should be the answer tell me if i got it wrong and ill try to fix it.

Answer:

y = 17

17 - 6 is 11, so 17 would be the only number convenient.

Answer:

y = 17!

Step-by-step explanation:

11 + 6 = y - 6 + 6

Let other 2 angles be d

44 + 2d = 180°

(sum of triangle)

2d = 180 -44

2d = 136

d = 136/2

d = 68

x = 68 + 44 (exterior angle is equal to sum of interior opposite angles)

x = 112°

l

2. part

let the other angles be d

3d = 180° (sum of angles of triangle)

d = 60°

x = 60 + 60

x = 120°

Answer:

Step-by-step explanation:

Find the equation of AB using the coordinates of the endpoints:

Find the slope:

Use one of the points and point-slope equation to get the line:

Now find the y - coordinate of F when x is 5:

Part B can't be solved as the picture is unclear

Answer:

go throw it get it try your best

Step-by-step explanation: you can do it

Answer:

1. 60

2. 70

3. 30

Step-by-step explanation:

Hope this helps!!!!

Step-by-step explanation:

1.m<2=60°

30°+90°

=120°

180°-120°

=60°

2.m<1=70°

20°+90°

=110°

180°-110°

=70°

Add or Mulitaply or divoin that is really the main thing you have to do

Step-by-step explanation:

Answer: 9 x 5 1/3

Step-by-step explanation: 9 x 5 1/3 = 9 x 16/3 which can be simplified to 3 x 16 = 48.

Answer:

2 and 4

Step-by-step explanation:

1% of 72 is 0.72
0.72 * 40

is 28.8

10% of 72 is 7.2

7.2 * 4 is also 28.8

40% of 70 is 28.8

Answer:

D. 2 ≤ x ≤ 5

The domain is the x values of the graph.

       Here, we have points with x values at 2 and 5. Since the function stays within these two points, our domain is;

D. 2 ≤ x ≤ 5

We always use the y values as the range of a function on a graph while x values gives us the Domain . So , by looking at the above graph we can say that , [tex]{\pmb{\bf x \in [2,5]}}[/tex] or can further written as [tex]{\bf 2\leq x\leq 5}[/tex] .

Henceforth , Option D) [tex]{\bf 2\leq x\leq 5}[/tex] is correct

Answer: $27 for four large pizzas is cheaper than 32$ for five large pizzas

Step-by-step explanation:

Answer:

$32 for 5 pizzas

Step-by-step explanation:

Assuming you're trying to determine which option is the better deal, the first step would be to determine the price per pizza.

Option 1: $27 for 4 pizzas

$27 / 4 pizzas = $6.75 per pizza

Option 2: $32 for 5 pizzas

$32 / 5 pizzas = $6.40 per pizza

Option 2 is the better deal because each pizza costs less.

Answer:

0.6

Step-by-step explanation:

i hope this helps! have a wonderful rest of ur day :)

Answer:

0.6

Step-by-step explanation:

[tex] \frac{1}{15} + \frac{1}{5} + \frac{1}{3} [/tex]

the simplest form.

[tex] \frac{1}{15} + \frac{1 \times 3}{5 \times 3} + \frac{1 \times 5}{3 \times 5} [/tex]

[tex] = \frac{1}{15} + \frac{5}{15} + \frac{3}{15} [/tex]

[tex] = \frac{1 + 3 + 5}{15} [/tex]

[tex] = \frac{9}{15} [/tex]

[tex] = \frac{3}{5} [/tex]

therefore, the correct answer is option A.

h(x) = x+3-----(1)

put your value (-7)

into equ. (1) as x

h(-7) = 7+3

h(-7) =10

Answer:

a - b

Step-by-step explanation:

Assuming you mean:  [tex](a^\frac12-b^\frac12)(a^\frac12+b^\frac12)[/tex]

Apply Difference of Two Squares formula [tex](a-b)(a+b)=a^2-b^2[/tex]:

[tex]\implies (a^\frac12-b^\frac12)(a^\frac12+b^\frac12)=(a^\frac12)^2-(b^\frac12)^2[/tex]

Apply the exponent rule [tex](a^b)^c=a^{bc}[/tex] :

[tex]\implies (a^\frac12)^2-(b^\frac12)^2=a^1-b^1=a-b[/tex]