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3 years ago

Add. (9m−12)+(−3m2+15−5m) Enter your answer, in standard form, in the box.

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer:

-2m+3

Step-by-step explanation:

-remove parenthesis

-group like terms

-add

-multiply

-add/subtract

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How many solutions y=x^2-10x+25

MrRissso [65]

<h2>There are infinite solution of y.</h2>

Step-by-step explanation:

Given,

y = $x^2$ - 10x + 25

To find, the total number of solutions = ?

∴ y = $x^2$ - 10x + 25

⇒ y = $x^2$ - 2(x)(5) + $5^2$

⇒ y = $(x-5)^{2}$

There are infinite solution of y.

Thus, there are infinite solution of y.

7 0

4 years ago

Blake recorded the number of minutes he ran on the treadmill each day for 2 weeks. His data is in

masya89 [10]

Answer:

5 minutes

Step-by-step explanation:

3 0

3 years ago

Among all right circular cones with a slant height of 24, what are the dimensions (radius and height) that maximize the volum

aleksklad [387]

Answer:

5571.99

Step-by-step explanation:

We need to use the Pythagorean theorem to solve the problem.

The theorem indicates that,

$r^2+h^2=24^2 \\r^2+h^2=576\\r^2=576-h^2$

Once this is defined, we proceed to define the volume of a cone,

$v=\frac{1}{3}\pi r^2 h$

Substituting,

$v=\frac{1}{3} \pi (576-h^2)h\\v=\frac{1}{3} \pi (576h-h^3)$

We need to find the maximum height, so we proceed to calculate h, by means of its derivative and equalizing 0,

$\frac{dv}{dh} = \frac{1}{3} \pi (576-3h^2)$

$\frac{dv}{dh} = 0$ then $\rightarrow \frac{1}{3}\pi(576-3h^2)=0$

$h_1=-8\sqrt{3}\\h_2=8\sqrt{3}$

<em>We select the positiv value.</em>

We have then,

$r^2 = 576-(8\sqrt3)^2 = 384\\r=\sqrt{384}$

We can now calculate the maximum volume,

$V_{max}= \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (\sqrt{384})^2 (8\sqrt{3}) = 5571.99$

4 0

3 years ago

I really need help with B, C, and D

Degger [83]

Can you explain what a b c are??

3 0

3 years ago

Read 2 more answers

What's is the value of x?<br>

Anton [14]

Answer:

40°

Step-by-step explanation:

The measure of the right angle is 90°.

The measures of the angles 10° and 2x add up to the measure of the right angle.

2x + 10° = 90°

2x = 80°

x = 40°

6 0

3 years ago