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2 years ago

Find the perimeter of ABC with vertices A (1,-6), B (1,-3), and C (-4,-6).

Mathematics

1 answer:

Crazy boy [7]2 years ago

5 0

Answer:

$p = 8 + \sqrt{34} = 13.83095...$

Step-by-step explanation:

we can easily calculate the perimeter of three points, using vectors. See the picture...

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There are 100 runners entered in a marathon. How many different groups of three runners can finish in first, second, and third?

Lelu [443]

Any one of the runners could be 1st.
Every runner except for the one that was 1st could be 2nd.
Every runner that wasn't 1st or 2nd could be 3rd.

100*99*98=970200 groups.
This involves permutations because order does matter.

Hope this helps!

3 0

3 years ago

Greta is trying to determine the portion of green candies in various bags of green and yellow candies. Using the information bel

IrinaK [193]

Answer: a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

Step-by-step explanation:

Since we have given that

There are green and yellow candies in each bag.

Bag A: Two thirds of the candies are yellow. What portion of the candies is green?

Part of yellow candies in bag A = $\dfrac{2}{3}$

Part of green candies in bag A would be

$1-\dfrac{2}{3}\\\\=\dfrac{3-2}{3}\\\\=\dfrac{1}{3}$

Bag B: 29 % of the candies are yellow. What portion of the candies is green?

Percentage of candies are yellow = 29%

Portion of candies are green is given by

$1-\dfrac{29}{100}\\\\=1-0.29\\\\=0.71\\\\=\dfrac{71}{100}$

Bag C: 4 out of every 9 candies are yellow. What portion of the candies is green?

Portion of yellow candies = $\dfrac{4}{9}$

Portion of green candies would be

$1-\dfrac{4}{9}\\\\=\dfrac{9-4}{9}\\\\=\dfrac{5}{9}$

Hence, a) $\dfrac{1}{3}$ b) $\dfrac{71}{100}$ c) $\dfrac{5}{9}$

6 0

2 years ago

Mr Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. What is the average change in the speed

Allisa [31]

Divide 30 by 10. 30mph/10seconds = 3mph/seconds

4 0

3 years ago

What is the length of AB with endpoints A (-1,0) and B (4,-3)

stepladder [879]

Answer:

√34

Step-by-step explanation:

it would be radical 34.

8 0

1 year ago

What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4

Rama09 [41]

If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7

3 0

3 years ago