Question 2 of 5

What is the distance between the points? Round to the nearest tenth if necessary

Karolina [17]

Answer:

9.8

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

$d = \sqrt{(x_{2} -x_{1})^{2} + (y_{2} - x_{1})^{2} }$

d = distance

$(x_{1}, y_{1})$ = coordinates of the first point

$(x_{2}, y_{2})$ = coordinates of the second point

5 0

3 years ago

Verify the identity. cos quantity x plus pi divided by two = -sin x

Darya [45]

$\cos\left(x+\dfrac\pi2\right)=\cos x\cos\dfrac\pi2-\sin x\sin\dfrac\pi2=0\cos x-1\sin x=-\sin x$

via the angle sum identity for cosine.

6 0

4 years ago

Read 2 more answers

286,489 is an odd number.how many times greater is the ten thousand place than the 8 in the tens place ?

jonny [76]

We're comparing 80,000 with 80.

One way to do this is divide the two numbers: 80,000/80 = 1000.

80,000 is one thousand times greater than 80.

7 0

4 years ago

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What is the best way to gather information for each of the scenarios?

topjm [15]

(a) The team captain wants to know what his teammates eats before a match

Team captain know by taking a survey of teammates

(b) The team captain wants to know who can score most goals against the best player

This can be known by observation of games. so its observational study

(c) The team captain wants to know how praising the affects the teammates performance.

This can be known by experiment

(d) The team captain wants to know what other sports teammates play

This can be known by observation of games. so its observational study

4 0

4 years ago

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<img src="https://tex.z-dn.net/?f=%20%5Clarge%7B%5Cbold%20%5Cred%7B%20%5Csum%20%5Climits_%7B8%7D%5E%7B4%7D%20%7Bx%7D%5E%7B2%7D%2

kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed $a\leq x \leq b$ and in your case $\nexists x\in\mathbb{Z}: a\leq x\leq b$ for $a>b$

In fact, considering a set $S$ we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing$ that satisfy $S = S \cup \varnothing$

This means that, by definition $\sum_{x=a}^b \varnothing = 0$

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

we have other problems. Actually, this case is really bad.

Note that $\cos^2(\infty)$ has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$ , the cosine function oscillates between $[-1, 1]$ , and therefore it is undefined. Thus, we cannot evaluate

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

7 0

3 years ago