Please give a step-by-step solution of 2x^2 +12x = 6 (by completing the square)

Answer:6

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(glazed donut)

=

glazed donuts

total

=

3

2+2+5+3

=

3

12

=

1

4

The experimental probability is

1

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

4

=

n

20

1

4

(420)

=

n

20

(420) Multiply both sides by (420)

120

= 4n Simplify

20

= 4n Simplify

5

= n Divide both sides by 4

You would expect 5 out of the next 20 donuts Brenna eats to be glazed donuts.

The missing step in the given proof is ∠DEB ≅ ∠ACE

From the two triangles named ΔABC and ΔDBE, we can see that in both triangles, the angles ∠ABC and ∠DBE are equal.

Now, we are told that if two parallel lines are cut by a transversal that the corresponding angles formed are congruent. Thus, we can say that ∠DEB and ∠ACE are equal.

Thus, the missing step in the given proof is ∠DEB ≅ ∠ACE.

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Answer:

2 and 3/4

Step-by-step explanation:

The tiny lines between each inch is worth 1/4.

The answers would be 2.75 or 2 and 3/4 :)

Answer:

8x+5

Step-by-step explanation:

it would be 8x+5.

this is because 8x and 5 are not like terms so they cannot be collected which means that the answer is 8x+5

Answer:

1/2 and 9/14

Step-by-step explanation:

Let the first fraction be 1/2

Let the second fraction be x

1/2 + x= 8/7

x= 8/7-1/3

= 16-7/14

= 9/14

Hence the two numbers are 1/2 and 9/14

Answer:

V = 4800 cm^3

SA = 2000 cm^2

Step-by-step explanation:

V = l x w x h

V = 20 x 8 x 30

V = 4800 cm^3

20 x 8 x 2 = 320 cm^2

20 x 30 x 2 = 1200 cm^2

8 x 30 x 2 = 480 cm^2

320 + 1200 + 480 = 2000 cm^2

Answer:

Um what’s this language?

Step-by-step explanation:

The answer to your question is:

24

Answer:

probably 24

Step-by-step explanation:

The lateral area of the cone is 20π square centimeters.

Given that a cone with base radius of 4 cm and the height is 3 cm, we need to find the lateral area of the cone,

The lateral area of a cone can be calculated using the formula:

Lateral Area = π r l

where:

π is a mathematical constant approximately equal to 3.14159.

r is the radius of the base of the cone.

l is the slant height of the cone.

To find the slant height, we can use the Pythagorean theorem.

The slant height (l) is the hypotenuse of a right triangle formed by the height (h) and the radius (r) of the cone.

The formula is:

l = √(r² + h²)

Given that the base radius (r) is 4 cm and the height (h) is 3 cm, we can calculate the slant height (l):

l = √(4² + 3²)

= √(16 + 9)

= √(25)

= 5

Now we can substitute the values into the formula for the lateral area:

Lateral Area = π r l

= π × 4 × 5

= 20π

Therefore, the lateral area of the cone is 20π square centimeters.

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Answer:

Step-by-step explanation:

the answer is 3/7 ‍

Answer:

3/7

Step-by-step explanation:

You could also write this expression as 3(1/7):  "three times one seventh."

Multiplying the '1' by the '3' yields the desired fraction:  3/7

Answer:

B

Step-by-step explanation:

Look at the base :))

Answer:

Step-by-step explanation:

Hi, The cross section is rectangle

Answer:

A.   (f + g)(1) = - 9

B.    (f - g)(0) = -7

C.    (fg)(3) = 0

Step-by-step explanation:

A.    (f + g)(1) = f(1) + g(1)               f(1) = 1^2 - 9 = 1 - 9 = - 8       g(1) = 1 - 2 = - 1

                    = -8 -1 = -9

B.     (f - g)(0) = f(0) - g(0)             f(0) = 0^2 - 9 = 0 - 9 =  -9      g(0) = 0 - 2 = -2

                      =  -9 + 2 = -7

C.      (fg)(3) = f(3)(g(3)                   f(3) = 3^2 - 9 = 9 - 9 = 0    g(3) = 3 - 2 = 1

                    = 0(1) = 0

Answer:

641.29

Step-by-step explanation:

100% = 903.23

1% = 903.23 ÷ 100 = 9.0323

71% = 9.0323 x 71 = 641.2933

Rounded to 2 decimal places =

641.2933 = 641.29

Answer:

641.29 m

Step-by-step explanation:

Convert "71%" to the decimal fraction 0.71.  

Then multiply 903.23 m by this 0.71:

641.29 m

Answer:

2.25

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

It's 2 because as you can see in the botton 4/10 and 8/20, 4 x 2=8 and 10 x 2=20. It's like saying you're multiplying the same thing for the top and bottom of both fractions. So, the two fractions on the top with the juice is getting multiplied by 4.

Answer:

2

Step-by-step explanation:

24÷6=4

knowing this you then divide 8 by 4 to get the numerator

8÷4=2

Answer:

The total interest to pay back on the loan is $122.40

Step-by-step explanation:

Here. we want to get the amount of interest on the loan

We are going to use the compound interest formula here

A = P(1 + r/n)^nt

where A is the amount to be paid back

P is the amount borrowed called the principal which is $1,500

r is the interest rate which is 4% annually

This is same as 4/100 = 0.04

n is the number of times the interest will be compounded per year ; annually means yearly and so for this case, n = 1

t is the number of years = 2

So we have;

A = 1500(1 + 0.04/1)^(2)(1)

A = 1500(1.04)^(2)

A =$ 1,622.40

So the amount of interest is the difference between the amount borrowed and the value to pay back

That will be;

$1,622.40 - $1,500

= $122.40

Answer:

36 miles

Step-by-step explanation:

The area of a rectangle = Length × Width

One dimension = 6 miles

Area = 216 square miles

Hence, the other dimension = 216 square miles/6 miles

= 36 miles

The unknown dimensions is 36 miles

Answer:

1) A transformation that is not a rigid motion results in a change in shape size.

2) Translation of -3/6

Answer:

2 incorrect answers

Step-by-step explanation:

If you take the percentage correct, you will notice its a particularly high score for the amount of questions. In this case, instead of using a really long theorem, its much simpler to just input numbers.

To find your score on a test out of 100%, you take your amount correct and divide it by the total number of questions, then multiply by 100.

If you take 24/25, you get 0.96, which if multiplied 100*0.96=96%

Now its simple, just go 23/25 to get 0.92, multiplied 100*0.92=92% correct, 25-23=2 so the amount of incorrect answers would be 2.

Answer:

74.5

Step-by-step explanation:

Answer: The answer is 74.5

Step-by-step explanation:

Hope this helped! :)

Answer: Its 33 !

Step-by-step explanation:

Okay so its actually not that bad at all !

So STEP 1

Convert your percent into a decimal : 65% -->  .65

STEP 2 you still following me you got this !

since kaitlyn attempts to throw  50  free throws all you need to do is multiply your decimal you converted by 50

it would look like this   .65 X 50 = 32.5

Step 3

Depending on what your answer choices are 32.5 is going to have to be rounded upwards remember anything at or above 5 you round up. Anything below 5 you round down so your answer will be  33 in this problem

Summary  

when seeing questions like this  convert that percent into a decimal  then depending on what is being counted for. you multiply your decimal by the number !  Hope this helps thanks for reading <3

Answer:

Step-by-step explanation:

2 3 4 1

Put them in that order in the columes

Answer:

2 and x=-2

Step-by-step explanation:

Answer:

Parallel:

y=3x-7       y=-4x-1         y=1/3x +9     -9x+12y=24       y=x-3

y=3x+1       8x+2y=14     x-3y =3         y=3/4x -5          x-y=8

Perpendicular:

y=-2/5x +3       y=-1/4x        2x+7y=28      y=-5x+1        x+y=7     5x-10y=-20

y=2/5x +8        y=4x-5         7x-2y=4        x-5y=30         x-y=9     y=-2x+6

10x+8y=16

5y=4x-15

Neither:

3x+2y=8        4x+9=18        y=5/3x +7

2x+3y=-12      y=4x+9         6x-10y=10

Step-by-step explanation:

Answer:

x = -55

Step-by-step explanation:

-11 - 3x = 44 - 2x

-11 - 44 - 3x + 3x = 44 - 44 - 2x + 3x

-55 = x

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