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3 years ago

What is the slope of a line perpendicular to the line passing through E(-1,6) and F(-2,-10)?

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer:

Step-by-step explanation:

E(-1,6) & F(-2,-10)

$Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\ \ \ \ = \frac{-10-6}{-2-[-1]}\\$

$=\frac{-10-6}{-2+1}\\\\=\frac{-16}{-1}\\\\= 16$

Slope of the line perpendicular to this line = -1/m = -1/16

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Answer: 450 plus 451 plus 452 = 1,353.

Step-by-step explanation:

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4 years ago

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3 years ago

Please help with probability

Nastasia [14]

Step-by-step explanation:

2. The total number of calculators is 6 + 9 + 2 = 17.

When she hands out the first calculator, the probability that it is blue is 2/17.

When she hands out the second calculator, there is one less calculator total, so the probability that it is yellow is 9/16.

The probability of both is therefore:

P = 2/17 × 9/16

P = 9/136

3. There are 13 clubs in a standard deck of 52 cards.

The probability that the first card is clubs is 13/52 = 1/4.

Since you replace the card, there are still 52 cards in the deck. So the probability that the second card is clubs is 13/52 = 1/4.

The probability that both cards are clubs is:

P = 1/4 × 1/4

P = 1/16

4. The total number of pieces of gum is 6 + 9 + 5 = 20.

When you pick the first piece, the probability that it is grape is 6/20.

When you pick the second piece, there's one less piece of gum, and one less grape flavor, so the probability is 5/19.

The probability that both pieces are grape is:

P = 6/20 × 5/19

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5. The total number of drinks is 6 + 3 + 4 = 13.

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8 0

3 years ago

Find the area of the shaded region.

stiv31 [10]

Hi!

Let's separate this shape into three sections to make it easier to find the area. (see image)

Let's start with the green shape.
The base of the green shape is 20. The height is 6.

20 x 6 = 120

Now the blue shape.
The base of the blue shape is 20, the height is (9 + 6) 15.

20 x 15 = 300

Now the red shape.
The base of the red shape is (20 - 10) 10, the height is 5.

10 x 5 = 50

Add all of the areas together.

120 + 300 + 50 = 470

The answer is 470

Hope this helps! :)

4 0

3 years ago