The circle below has center h. Suppose that

-3x^2 plus 24x = 27 <br> complete the square

Rudik [331]

You can divide the whole expression by -3:

$-3x^2+24x=27 \iff x^2-8x = -9$

Recalling that

$(x-a)^2=x^2-2ax+a^2$

Let's compare the middle term:

$-8x = -2ax \iff a=4$

So, we want to complete

$(x-4)^2 = x^2-8x+16$

Which differs from $x^2-8x$ by 16. So, if we add 16 to both sides, we have

$x^2-8x=-9 \iff x^2-8x+16=7 \iff (x-4)^2=7$

3 0

3 years ago

Read 2 more answers

meg has $20 in a savings account that earns 10% annually. the interest is not compounded. how much will she have in 1 year

snow_tiger [21]

<h2>Answer: 22$</h2>

Step-by-step explanation: 10% of 20 is 2 so 20 + 2 = 22.

Hope this helps! ;)

4 0

2 years ago

I meant how do you write 600,000+80,000+10 in word form

Monica [59]

Six hundred eighty thousand ten
six hundred eighty thousand and ten and seven tenths

5 0

3 years ago

Read 2 more answers

Please assist me<br><br>NO LINKS!!<br>

Nana76 [90]

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

$2x-6+(2x)=180$

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

$2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5$

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

$2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5$

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

4 0

2 years ago

A production process fills containers by weight. Weights of containers are approximately normally distributed. Historically, the

forsale [732]

Answer:

option (c) n = 201

Step-by-step explanation:

Data provided in the question:

Standard deviation, s = 5.5 ounce

Confidence level = 99%

Length of confidence interval = 2 ounces

Therefore,

margin of error, E = (Length of confidence interval ) ÷ 2

= 2 ÷ 2

= 1 ounce

Now,

E = $\frac{zs}{\sqrt n}$

here,

z = 2.58 for 99% confidence interval

n = sample size

thus,

1 = $\frac{2.58\times5.5}{\sqrt n}$

or

n = (2.58 × 5.5)²

or

n = 201.3561 ≈ 201

Hence,

option (c) n = 201

5 0

3 years ago