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3 years ago

Pls help, I need to get my test done b4 the end of today, and I still need to finish the rest of the questions!

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

The equation in required form is: $(x-4)^2 = 3$

Step-by-step explanation:

Given equation is:

$x^2-8x+13=0$

to write the equation in $(x-a)^2 = b$ form where a and b are integers

subtracting 13 from both sides

$x^2-8x+13-13=0-13\\x^2-8x = -13$

To complete the square:

2.x.b = 8x

b = 8x/2x = 4

So adding (4)^2 on both sides

$(x)^2-8x+(4)^2 = -13+(4)^2\\(x-4)^2 = -13+16\\(x-4)^2 = 3$

Hence,

The equation in required form is: $(x-4)^2 = 3$

Keywords: Quadratic equation, Vertex form

Learn more about quadratic equation at:

#LearnwithBrainly

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Cate solved an inequality to find c, the possible number of cats that a shelter can house. She found that c < 28. Which state

ASHA 777 [7]

Answer:

The shelter can house 17 cats because

17 < 28.

Step-by-step explanation:

We cannot have fractions of cats, and we cannot have a negative number of cats. So the third statement is reasonable because c < 28.

8 0

1 year ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

Which postulate /theorem can you use to prove the two triangles shown are congruent?

trapecia [35]

777377737666267#773727363653626728’e

6 0

2 years ago

A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price

timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

$\frac{75}{100} =\frac{34.50}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$75y=100(34.50)\\75y=3450$

I now solve for y by dividing by 75.

$\frac{75y}{75} =\frac{3450}{75} \\y= 46....$

The original price was $46.

5 0

3 years ago

Nadya has 36 blueberries and 45 raspberries that she will be putting into cups of yogurt to make after-school snacks. She wants

sladkih [1.3K]

Answer:

Using GCF (The Greatest Common Factor) the answer = 9

Step-by-step explanation:

The values 36, 45

Solution by Factorization:

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Both 45 and 36 have factors of 1, 2, 3, and 9

1 is less than 2, so 1 is out

2 is less than 3, so 3 is out

9 is greater than 3, so 3 is out

9 is the greatest!

Therefore, the greatest common factor is 9.

The greatest number of cups Nadya can make is 9 cups.

Hope this helps!

Have a good evening! :)

7 0

3 years ago

Read 2 more answers