All categories

3 years ago

1 What is the solution to the system of equations?

Mathematics

1 answer:

WARRIOR [948]3 years ago

4 0

1. The answer is B (4, -1)
2. The answer is B (-2, 5)

You might be interested in

(10 POINTS) find the lengths of segments AD and BD

enyata [817]

26 for ad and bd 13 I believe

7 0

3 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

6 0

3 years ago

On a certain day, $1 is worth 30.23 Russian rubles. Omar has $75. How many rubles will he get in exchange?

STatiana [176]

The answer is $2267.25
30.23*75=2267.25

8 0

3 years ago

Why can you use the constant of proportionality with any representation?

pantera1 [17]

Answer:

The number k is called the constant of proportionality. One important way of thinking about this constant k is that it tells us how much y increases by if we increase x by exactly 1. to express that y is directly proportional to x.

3 0

3 years ago

In order to determine Velocity, we need to know.. *

Gennadij [26K]

Answer:

All of the above.

Step-by-step explanation:

The way to calculate velocity is d/t, the displacement over time of travel. Hence, both of those are needed.

Finally, velocity also needs to know your direction, like 5 m/s East for example. Hence, all of the above are needed.

Hope this helped!

7 0

3 years ago