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Ann [662]
3 years ago
5

Find the distance between these two points (-6, -5) and (2, 0)

Mathematics
1 answer:
Charra [1.4K]3 years ago
3 0

Answer:

\sqrt{89}

Step-by-step explanation:

Use Distance Formula

\sqrt{(x_{2}-x_{1}  )^{2}  + (y_{2}-y_{1}  )^{2}  }

Substitute

\sqrt{(-5-0)^{2}+(2+6)^{2} }

Simplify

\sqrt{(-5)^{2}+(8)^{2}  }

Simplify

\sqrt{25+64}

Add

\sqrt{89}

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What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°
strojnjashka [21]

*see attachement for diagram

Answer:

∠P = 140°; ∠S = 40°

Step-by-step explanation:

The figure given is a parallelogram.

Consecutive angles (adjacent angles) of a parallelogram are supplementary.

Therefore:

(x + 15)° + (6x - 10)° = 180°

Solve for x

x + 15 + 6x - 10 = 180

Add like terms

7x + 5 = 180

7x = 180 - 5

7x = 175

x = 175/7

x = 25

✔️m<P = m<R = 6x - 10 (opposite angles of a parallelogram are congruent)

m<P = 6x - 10

Plug in the value of x

m<P = 6(25) - 10 = 140°

✔️m<S = m<Q = x + 15 (opposite angles of a parallelogram are congruent)

m<S = x + 15 = 25 + 15 = 40°

5 0
2 years ago
What polynomial can be simplified to a different of squares? 10a2+3a-3a-16
olganol [36]

10a^2 +3a -3a -16 = 10a^2 -16 = (\sqrt{10}a +4 ) (\sqrt{10}a - 4 )

3 0
2 years ago
What is 18+5-y.this is first question
UkoKoshka [18]

<u><em>Answer:</em></u>

y = 23

<u><em>Step-by-step explanation:</em></u>

Add the numbers:

18 + 5 - y

= 23 - y

Rearrange terms:

y = 23

8 0
2 years ago
One carton of eggs contains 12 eggs.
noname [10]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Which of the following scenarios MUST represent two independent events?
egoroff_w [7]

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

7 0
2 years ago
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