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3 years ago

What is the length of side BC of the triangle?

Mathematics

1 answer:

miv72 [106K]3 years ago

6 0

x+8 = 2x-1

x+9 = 2x

9=x

BC = 3x-3 = 3(9)-3 = 27-3 = 24

BC = 24

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Y=-1/3x^2-4x-5 in vertex form

grigory [225]

Answer:

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

Step-by-step explanation:

Given function:

$Y=-\frac{1}{3}x^2-4x-5$

We need to find the vertex form which is.,

$y=a(x-h)^2+k$

where $(h,k)$ represents the co-ordinates of vertex.

We apply completing square method to do so.

We have

$Y=-\frac{1}{3}x^2-4x-5$

First of all we make sure that the leading co-efficient is =1.

In order to make the leading co-efficient is =1, we multiply each term with -3.

$-3\times Y=-3\times\frac{1}{3}x^2-(-3)\times4x-(-3)\times 5$

$-3Y=x^2+12x+15$

Isolating $x^2$ and $x$ terms on one side.

Subtracting both sides by 15.

$-3Y-15=x^2+12x-15-15$

$-3Y-15=x^2+12x$

In order to make the right side a perfect square trinomial, we will take half of the co-efficient of $x$ term, square it and add it both sides side.

square of half of the co-efficient of $x$ term = $(\frac{1}{2}\times 12)^2=(6)^2=36$

Adding 36 to both sides.

$-3Y-15+36=x^2+12x+36$

$-3Y+21=x^2+12x+36$

Since $x^2+12x+36$ is a perfect square of $(x+6)$ , so, we can write as:

$-3Y+21=(x+6)^2$

Subtracting 21 to both sides:

$-3Y+21-21=(x+6)^2-21$

$-3Y=(x+6)^2-21$

Dividing both sides by -3.

$\frac{-3Y}{-3}=\frac{(x+6)^2}{-3}-\frac{21}{-3}$

$Y=-\frac{1}{3}(x+6)^2+7$ [Vertex form]

8 0

3 years ago

17) Convert the number to scientific notation 0.00317

Masteriza [31]

Answer:

3.17x10^-3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

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3 years ago

Which of these vectors can be written as a linear combination of vector[-6,-4,7,1] and [-4,-3,2,-1]?

borishaifa [10]

Answer:

Step-by-step explanation:

options?

4 0

3 years ago

I really NEED HELP<br> Ill give you a brainiest if you guys help me ASAP because I dont understand

MAXImum [283]

Answer:

<h2>I think it is B if I am wrong i am <u><em>sooooo</em></u> sorry!</h2>

Step-by-step explanation:

<h2 />

8 0

2 years ago

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1 point<br> Captionless Image

algol [13]

Answer:

uhhh ok

Step-by-step explanation:

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3 years ago