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3 years ago

Answer ASAP PLS

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

7 0

The answer is 1, just use a calculator.

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Which of the following equations is in equation formed when completing the square on y^2 - 12 y= -27

bogdanovich [222]

Answer:

$(y-6)^2=9$

Step-by-step explanation:

Given

$y^2 - 12y = -27$

Required

Get equivalent expression using completing the square

Follow these steps:

Take the coefficient of y; That is -12

Divide it by 2; That is (-12/2)

Square it: (-12/2)^2

Add to both sides of the equation

$y^2 - 12y + (\frac{-12}{2})^2= -27 + (\frac{-12}{2})^2$

$y^2 - 12y + (-6)^2= -27 + (-6)^2$

$y^2 - 12y + 36= -27 + 36$

$y^2 - 12y + 36= 9$

Expand the right-hand side

$y^2 - 6y - 6y + 36= 9$

Factorize:

$y(y-6)-6(y-6) =9$

$(y-6)(y-6)=9$

$(y-6)^2=9$

5 0

3 years ago

You want a savings account to grow to $5000 in 10 years. If interest is 3.5% compounded continuously, how much should you invest

vazorg [7]

Answer:

$3523.44

Step-by-step explanation:

5000 = X × e^(3.5/100)(10)

X = 5000 ÷ e^0.35

X = 3523.440449

6 0

3 years ago

Write a number in which value of the digit 3 is 10 times as much as the value of the digit 3 in 942381 show your thinking.

choli [55]

Answer:

943,281

Step-by-step explanation:

Just move the 3 up a value

If it's in the ten's place, then move it to the hundred's place value.

If it's in the hundred's place, then move it to thousand's place value.

So on and so on...

8 0

4 years ago

Read 2 more answers

A thin tube stretched across a street counts the number of pairs of wheels that pass over it. A vehicle classified as type A wit

aliina [53]

Answer: All possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

Step-by-step explanation:

Let the number of vehicle of type A be 'x'.

Let the number of vehicle of type B be 'y'.

Since we have given that

Number of axles of type A = 2

Number of axles of type B = 9

After 2 hours, number of counts = 101

so, our equation becomes,

$2x+9y=101$

So, all possible solutions would be

(1,41), (8,33), (15,25), (22,17), (29,9), (36,1)

7 0

3 years ago

Find the size of angle XZY Answer given to one decimal place

barxatty [35]

Answer:

159cm

Step-by-step explanation:

Sum of all sides of triangles is 180

so, 15+6=21

then 180-21=159

4 0

3 years ago