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3 years ago

12

Find a measurement in centimeters of an object. Look through books, magazines, or the Internet. Then write the measurement as pa

rt of a meter.

2 answers:

tino4ka555 [31]3 years ago

8 0

Answer:

Step-by-step explanation:

ser-zykov [4K]3 years ago

5 0

A book 2meters I found it so yea I concert and did a

That so that's your answer ya good now or nah ok good contact meh if u need help huh bye

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A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :

<u>For the first parenthesis:</u>

$x^{2}+6x+b^{2}$

We can rewrite this as:

$x^{2}+2(3)x+b^{2}$

Hence in this case $b=3$ and $b^{2}=9$ :

$x^{2}+2(3)x+3^{2}=x^{2}+6x+9=(x+3)^{2}$

<u>For the second parenthesis:</u>

$y^{2}-8y+b^{2}$

We can rewrite this as:

$y^{2}-2(4)y+b^{2}$

Hence in this case $b=-3$ and $b^{2}=9$ :

$y^{2}-2(4)y+4^{2}=y^{2}-8y+16=(y-4)^{2}$

Then, equation (5) is rewritten as follows:

$(x^{2}+6x+9)+(y^{2}-8y+16)=75+9+16$ (6)

<u>Note we are adding 9 and 16 in both sides of the equation in order to keep the equality.</u>

Rearranging:

$(x-3)^{2}+(y-4)^{2}=100$ (7)

At this point we have the circle equation in the center radius form $(x-h)^{2} +(y-k)^{2}=r^{2}$

Hence:

$h=-3$

$k=4$

$r=\sqrt{100}=10$

8 0

3 years ago

PLEASE HELP ASAP ILL MARK BRAINLIEST

Reptile [31]

Answer: $4\sqrt{3}-\sqrt{5}$

Step by step:

$2\sqrt{5}+4\sqrt{3}-3\sqrt{5}=4\sqrt{3}-\sqrt{5}$ This is the simplest form of this radical.

3 0

3 years ago

Do you think inequalities or equations are used more in everyday life? Justify your answer. In your answer include literal equat

nevsk [136]

Yes, I do think that inequalities or equations are used more in everyday life.

5 0

3 years ago

What is the common difference of the sequence 8, 4, 0, -4, -16?

soldier1979 [14.2K]

$\large \mathfrak{Solution : }$

Common difference of an Arithmetic progression can be found out by subtracting the preceding term from that given term.

i.e

$common \: \: difference = 4 - 8$
$common \: \: difference = - 4$

therefore, the common difference of the above Arithmetic progression is -4 .

7 0

3 years ago

Which coefficient in the function tells us that the parabola for the function will point downward? y = -2x2 5x - 4

Ludmilka [50]

The answer is 16 I think because 2*2=4*5=20-4=16 so I think 16 is the right answer

5 0

3 years ago