Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?

Answer:

Step-by-step explanation:

By applying sine rule in ΔACD,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(30°) = [tex]\frac{CD}{AD}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{z}{24}[/tex]

z = [tex]8\sqrt{3}[/tex]

By applying cosine rule in ΔACD,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(30°) = [tex]\frac{AC}{CD}[/tex]

[tex]\frac{1}{2}=\frac{AC}{24}[/tex]

AC = 12

By applying tangent rule in ΔACB,

tan(45°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

1 = [tex]\frac{AC}{BC}[/tex]

y = 12

By applying sine rule in ΔACB,

sin(45°) = [tex]\frac{BC}{AB}[/tex]

[tex]\frac{1}{\sqrt{2}}=\frac{y}{x}[/tex]

x = y(√2)

x = 12√2

Answer:

94

Step-by-step explanation:

because it all adds up to 180 (i want brainliest)

Answer:

167.55 ur welcom

Answer:

B : inscribed angle theorem

Step-by-step explanation:

The missing reason in step 5 is; Inscribed angle theorem.

Within the context of circle geometry, an inscribed angle is the angle formed in the interior of a circle as a result of the intersection of two chords on the circumference of the circle.

Put differently, an inscribed angle is defined by two chords of the circle sharing an endpoint.

Ultimately, since the chords LM and MN intersect on the circumference, with LM being the diameter of the circle, then the measure of angle LMN is 90°.

Read more on inscribed angle theorem;

https://brainly.com/question/5436956

Answer:

8xh>168, and h>21.

Step-by-step explanation:

I took this quiz.

Answer:

8 x h = 168 and h > 21

Step-by-step explanation:

I hope this helps.

I am sorry if I got it wrong.

Answer:

area

Step-by-step explanation:

area of parallelogram = base × height

= 10× 3

= 30 cm²

plz mark my answer as brainlist plzzzz vote .

hope this will be helpful to you .

The area of the parallelogram is [tex]30cm^2[/tex].

Given that,

Now the area of the parallelogram is

[tex]= base \times height\\\\= 3 \times 10\\\\= 3cm^2[/tex]

Therefore we can conclude that the area of the parallelogram is [tex]30cm^2[/tex]

Learn more about the parallelogram here: brainly.com/question/9680084

Answer:

epresented on the horizontal axis and elevation on the vertical axis. For each situation, decide if the ... (from Unit 3, Lesson 4). 4. Each square on a grid represents 1 unit on each side. Match the numbers with the slopes of the lines. 1. - 7 / 1. C.

Step-by-step explanation:

Step-by-step explanation:

we can see that it is a hexagon and the lines of symmetry in hexagon are 6

we can too see that the figure is having all sides equal...

hope it helps

Answer:

I think that the answer might be 6

Answer:

11

Step-by-step explanation:

Change 2 3/4 to a mixed number.

11/4

Then multiply

11/4 • 4

Get rid of common denominators. Which are the 4s.

So you're left with 11.

Or you could just turn 4 into 4/1.

Which would be 44/4.

Which simplifies to 11.

Hope this helps.

Answer:

[tex]Fracton = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The fraction of yellow

From the attached image:

[tex]Yellow = 5[/tex]

[tex]Total = 30[/tex]

So, the fraction is:

[tex]Fracton = \frac{Yellow}{Total}[/tex]

[tex]Fracton = \frac{5}{30}[/tex]

Divide by 5/5

[tex]Fracton = \frac{1}{6}[/tex]

Answer: 4/5

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

if she can run at a constant speed for 30 minutes, then it is 3 miles. But, if there is some reason that she cannot run at the same rate as she did for one mile, the answer is unknown.

Answer:

4.4 * [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4.4 x 10^6

Step-by-step explanation:

The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.

After you place the decimal you should have, 4.400000.

Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.

So the answer would be, 4.4 x 10^6  

Answer: 3.8

Step-by-step explanation:first, you need to figure out what side you’re looking for. Side AC is opposite of the angle you’re given. They also give you length of side AB which is 4. That is the hypotenuse (side directly across from right angle). So, you have the hypotenuse, and need the find the opposite side measure. Which option uses opposite and hypotenuse? That’s Sin. So, you would do: sin70 = ? / 4.

sin (of given angle)= opposite / hypotenuse.

Sin (70 degrees) = ? / 4

Then you solve for “?”

Type sin70 into your calculator, then multiply both sides by 4 to get “?” by itself. You should get 3.758770483, which rounds to 3.8

Answer:

dude

Step-by-step explanation:

use a ruler

Answer:

3/4

Step-by-step explanation:

have a great day :D

Answer:

Step-by-step explanation:

3m < - 12

m < - 12/3

m < - 4

Answer: -4

Step-by-step explanation:

3m < -12

3m/3 < -12/3

m = -4

Answer

238π yd^2

Step-by-step explanation:

here's your solution

=> height of cylinder = 10 yd

=> radius of cylinder = 7 yd

=> formula to calculate surface area = 2πr(h + r)

=> putting the value of height and radius in formula

=> SA = 2*22/7*7(10+7)

=>. SA = 2*22*17

=> SA = 748 yd.sq

hope it helps

Answer:

x=4 y=8

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

Answer:

Step-by-step explanation:

Here's how to subtract 4/9 from 2/4:

[tex]\frac{2}{4} -\frac{4}{9}[/tex]

Step 1:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 2 by 9, and get 18.

Then we multiply 4 by 4, and get 16.

Next we give both terms new denominators -- 4 × 9 = 36.

So now our fractions look like this:

[tex]\frac{18}{36} -\frac{16}{36}[/tex]

Step 2

Since our denominators match, we can subtract the numerators.

18 − 16 = 2

So the answer is:

[tex]\frac{2}{36}[/tex]

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

[tex]\frac{2}{36}[/tex]÷2=[tex]\frac{1}{8}[/tex]

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

[tex]\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

50t=500(8.5)

t=10(8.5)

t=85 minutes

Answer: 85 minutes

Step-by-step explanation:

First, find how many minutes it takes for Wayne to type a page containing 500 words. 500/50= 10 minutes

You then multiply that by 8

8(10)= 80 minutes to type 8 pages.

Now find how many words are in half a page.

500/2=250 words

Divide that by the amount of words Wayne can type per minute. 250/50= 5

Add that to the amount of minutes it took to type 8 pages. 85 minutes

Which is also 1 hour 25 minutes

Answer:

2/5

Step-by-step explanation:

To find Area you have times do length times Width so you would be doing 3/5 times 2/3 which would give you 2/5.

Answer:

She spent 2 and a half hours doing extra work.

Answer:

x= 3/5

Step-by-step explanation:

i hope this helps :)

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

Answer:

a=-1

Step-by-step explanation:

∵ (a,2a) satisfies y=x-1

so 2a=a-1

2a-a=-1

a=-1