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3 years ago

What’s the distance between (1, 7) and (-2, -4) please help

Mathematics

2 answers:

Bond [772]3 years ago

5 0

Answer:

the slope is 11/3

so distance is 130 or 11.4 in decimal form

Olin [163]3 years ago

5 0

Answer:

Exact distance = $\sqrt{130}$

Approximate distance = 11.40175

Explanation:

We'll use the distance formula

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(1-(-2))^2+(7-(-4))^2}\\\\d = \sqrt{(1+2)^2+(7+4)^2}\\\\d = \sqrt{(3)^2+(11)^2}\\\\d = \sqrt{9+121}\\\\d = \sqrt{130} \ \ \text{ ... exact distance}\\\\d \approx 11.40175 \ \ \text{ ... approximate distance}\\\\$

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Komok [63]

Answer: 49.0 square meters

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Explanation:

We'll first need to find the radius of the rug using the circumference.

C = 2*pi*r

r = C/(2pi)

r = (24.8)/(2*3.14)

r = 3.949045 which is approximate.

Now we can find the area

A = pi*r^2

A = 3.14*(3.949045)^2

A = 48.968163 this is also approximate

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2 years ago

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3 years ago

Read 2 more answers

In a dog show, there will be a gold and silver medal awarded.There are 6 finalists. In how many ways can the 2 medals be awarded

Mandarinka [93]

Answer:

Step-by-step explanation:

Given: There are six finalists and two medals. That is it asks for the possibilities of 6 finalists taking two at a time. Say, for example the first and third finalist or the second and the sixth finalist and so on. The number of possibilities is given by $^nP_r$

$^nP_r = \frac{n!}{(n - r)!}$

So the number of possibilities of 6 finalists taken two at a time is $^6P_2$

$\implies \frac{6!}{(6 - 2)!} = \frac{6!}{4!} \hspace{15mm} [n! = n \times (n-1) \times (n - 2) \times . . . 2 \times 1]$

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4 0

4 years ago

What would be the equation for this graph? (WILL GIVE BRAINLEIST!)

ohaa [14]

Answer:

y = (x - 2)² - 9 Vertex form

y = x² - 4x - 5 Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4) - 9

y = x² - 4x - 5

6 0

3 years ago

Awarding road contracts. A state Department of Transportation (DOT) recently claimed that each of five bidders received equal co

Sveta_85 [38]

Answer:

a) Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

Step-by-step explanation:

a) The concept applied here is combinatorics ; nCr = n!/(n - r)!r!

we are told that out of 5bidders, Three of the bidders were large construction conglomerates

and two were small specialty contractors.

selecting two recipients with tree of the bidders were large construction conglomerates 3C2

= 3!/(3-2)!2!

= 3

Similarly, selecting the two small casualty contractor from the total of 5bidders = 5C2

= 5!/(5-2)!2!

= 10

Hence, the probability of this event occurring if, in fact, the DOT's claim is true

= 3/10 = 0.3

b) if DOTs claim is not true ( probability of failure) = 1 - 0.3

= 0.7 , this value implies that the probability 0.3 is largely compatible and a compliment of the 0.7 and as such it is consistent with the DOTs claim that the selection was random.

7 0

3 years ago