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Law Incorporation [45]
3 years ago
14

Find the distance between j(-3,4) and k(2,-4)

Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer:

d=\sqrt{89}

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(2-(-3))^2+(-4-4)^2}

d=\sqrt{(2+3)^2+(-8)^2}

d=\sqrt{(5)^2+64}

d=\sqrt{25+64}

d=\sqrt{89}

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Which table shows the correct methods used to justify the solution steps?
EleoNora [17]

Answer:

x = 8

Step-by-step explanation:

Step 1 : Simplify the equation

3(x-5) + 7x = 65

3x - 15 + 7x = 65

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8 0
3 years ago
Read 2 more answers
Ming has a standard 52-card deck. A standard 52-card deck has 4 suits (♠, ♣,♦, and ♥) and an equal number of cards of each suit.
soldier1979 [14.2K]

Answer:

Option D.

Step-by-step explanation:

Total number of cards = 52

Total number of cards of each suit (♠, ♣,♦, and ♥) = 13

The probability of getting a card of heart is

\text{Probability of getting a card of heart}=\frac{\text{Number of heart cards}}{\text{Total number of cards}}

\text{Probability of getting a card of heart}=\frac{13}{52}

\text{Probability of getting a card of heart}=\frac{1}{4}

The probability of getting a card other then heart is

1-\frac{1}{4}=\frac{3}{4}

If Ming randomly draw a card from the deck 300 times, putting the card back in the deck after each draw, then the number of cards she will draw something other than a heart is

300\times \frac{3}{4}=225

Close to 225 times but probably not exactly 225 times.

Therefore, the correct option is D.

3 0
3 years ago
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