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Archy [21]
3 years ago
6

Find the distance between the two points.

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

50

Step-by-step explanation:

\boxed{distance \: between \: 2 \: points =  \sqrt{(y1 - y2)^{2}   + (x1 - x2) {}^{2} }}

Distance between the 2 points

=  \sqrt{( - 3 - 2) {}^{2}  +( - 1 - 4) {}^{2}  }

=  \sqrt{( - 5)^{2} + ( - 5)^{2}  }

=  \sqrt{25 + 25}

=  \sqrt{50}

Thus, the number that goes beneath the radical symbol is 50.

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You can jog around the block twice and the park once in 10 min. You can jog around the block twice and the park 3 times in 22 mi
stich3 [128]
B = block     p = park

2b + p = 10 min                2 runs around the block takes 10 minutes
2b + 3p = 22 min        2 runs around the block plus 3 runs around the park                                                       takes 22 minutes

To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

2b + p = 10 min ---------→b + 1/2p = 5 ----------→ b = 5 - 1/2p

2(5 - 1/2p) + 3p = 22 ---------→ 10 -p + 3p = 22 --------→ 10 + 2p = 22

10 + 3p = 22 ----------→ 2p = 12

2p = 12 -------------→ p = 6

It takes 6 minutes to jog around the park

Hope this helps!
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3 years ago
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4 years ago
B2 is A= 1/2h(bl+b2), if A=16, h=4, and b1=3<br> b2=____
Yuliya22 [10]

Answer:

b₂ = 5

Step-by-step explanation:

Substitute the given values into the formula

16 = \frac{1}{2} × 4 × (3 + b₂)

16 = 2(3 + b₂) ( divide both sides by 2 )

8 = 3 + b₂ ( subtract 3 from both sides )

5 = b₂

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3 years ago
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