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3 years ago

HELP WILL MARK YOU BRAINLIEST

Mathematics

1 answer:

zysi [14]3 years ago

8 0

Answer:

Step-by-step explanation:

(x1 + x2)/2, (y1 + y2)/2

(-6 + 10)/2, (-3 + 9)/2

4/2, 6/2

(2, 3) = Midpoint

(2,3) (10,9)

2+10/2, 3+9/2

12/2, 12/2

6,6

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25,714.28571428571 to 2DP

BaLLatris [955]

25,714.29 is the correct answer I believe

6 0

3 years ago

Find the equation of a circle that has a diameter with the endpoints given by the points A(-4,9) and B (- 2, - 3) )

Aleksandr-060686 [28]

The equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

Explanation:

Given that the endpoints of the circle are A(-4,9) and B(-2,-3)

We need to determine the equation of the circle.

Center:

The center of the circle can be determined using the midpoint formula,

$Center=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Substituting the coordinates A(-4,9) and B(-2,-3), we get,

$Center=(\frac{-4-2}{2},\frac{9-3}{2})$

$Center=(\frac{-6}{2},\frac{6}{2})$

$Center=(-3,3)$

Thus, the center of the circle is (-3,3)

Radius:

The radius of the circle can be determined using the distance formula,

$r=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$

Substituting the center (-3,3) and the endpoint (-4,9), we get,

$r=\sqrt{\left(-4+3\right)^{2}+\left(9-3\right)^{2}}$

$r=\sqrt{\left(-1\right)^{2}+\left(6\right)^{2}}$

$r=\sqrt{1+36}$

$r=\sqrt{37}$

Thus, the radius of the circle is $\sqrt{37}$

Equation of the circle:

The standard form of the equation of the circle is given by

$(x-a)^{2}+(y-b)^{2}=r^{2}$

where (a,b) is the center and r is the radius.

Substituting the values, we have,

$(x+3)^{2}+(y-3)^{2}=(\sqrt{37})^{2}$

$(x+3)^{2}+(y-3)^{2}=37$

Thus, the equation of the circle is $(x+3)^{2}+(y-3)^{2}=37$

7 0

3 years ago

Find the least common denominator for these

baherus [9]

Answer:

The least common denominator of the two rational expressions is $(x+2)^{2}\cdot (x+3)$ .

Step-by-step explanation:

Let be the following rational expressions:

$\frac{x^{3}}{x^{2}+4\cdot x + 4}, \frac{-9}{x^{2}+5\cdot x + 6}$

Then, we factor each denominator:

$\frac{x^{3}}{(x+2)^{2}}, \frac{-9}{(x+3)\cdot (x+2)}$

Now, we compare each denominator to find all missing binomials so that each expression may have a common denominator:

$\frac{x^{3}}{(x+2)^{2}} \rightarrow (x+3)$

$\frac{-9}{(x+3)\cdot (x+2)} \rightarrow (x+2)$

Hence, we conclude that least common denominator of the two rational expressions is $(x+2)^{2}\cdot (x+3)$ .

8 0

3 years ago

An 8-packed of erasers costs $3.68. What is the cost per eraser?

nata0808 [166]

Answer:

0.46 cents

Step-by-step explanation:

3.68 divided by 8 = 0.46

Hope this helps!

5 0

4 years ago

Read 2 more answers

Someone help me plz.

Svetllana [295]

Answer:
20%

Explanation:
What we know:
- there are 25 cans in total
- 5 of them are root beer cans

Using this information, we can say that 5/25 cans are root beer cans. To find the percent, we change the fraction into a decimal and then multiply it by 100.

To change 5/25 into a decimal, we divide the numerator and denominator.
5/25=0.2

And we multiply the decimal by 100 to get the percent:
0.2*100=20

Therefore, 20% of Cam’s cans are root beer cans.

I hope this helps!

3 0

3 years ago