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3 years ago

Explain tge distace formula. then use it to calculate the distance between A(1,1) and B(7,-7).

1 answer:

5 0

The distance formula is based on the Pythagorean Theorem:

Distance = Square Root [(X2 - X1)^2<span> + (Y2 - Y1)^</span>2<span>]
</span>Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm

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PLEASE PLEASE HELP!! ITS DUE TODAY!!

Nitella [24]

Answer:

7.5 square miles

Step-by-step explanation:

Begin by counting the number of squares that the lake completely or almost completely covers. There are six of these, as indicated by an X. Then find the squares which are about half covered by the lake. These are indicated by a Y. There are three of these. The remainder of the squares that contain some portion of the lake are less than half covered, so we will not count them.

Irregular Object

1 square = 1 sq. mile

Each X counts as one square mile, and each Y counts as 0.5 (12) of a square mile.

(6 × 1) + (3 × 0.5) = 6 + 1.5 = 7.5

The area of the lake is about 7.5 square miles.

4 0

3 years ago

Read 2 more answers

According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most

AlekseyPX

Answer:

His 95% confidence interval is (0.065, 0.155).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 186, \pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 - 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.065$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.11 + 1.96\sqrt{\frac{0.11*0.89}{186}} = 0.155$

His 95% confidence interval is (0.065, 0.155).

4 0

3 years ago

Which statement shows how two polynomials 4x2 and x2 + 3x + 7 demonstrate the closure property when multiplied?

son4ous [18]

By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
$4x ^ 2

x ^ 2 + 3x + 7$
Multiplying we have:
$(4x ^ 2) (x ^ 2 + 3x + 7) = 4x ^ 4 + 12x ^ 3 + 28x ^ 2
$
The product of two polynomials is also a polynomial.
Answer:
d $4x ^ 4 + 12x ^ 3 + 28x ^ 2$ is a polynomial

4 0

3 years ago

Could anybody please help me on this one? I'm really stuck on this.

san4es73 [151]

( c^2 )^3 = 64 <=>( c^2 )^3 = 4^3 <=> c^2 = 4 <=> c = 2 or c = -2.

7 0

3 years ago

List the first 10 triangular numbers

Paha777 [63]

Answer:

0, 1, 3, 6, 10, 15, 21, 28, 36, 45

7 0

2 years ago