Formula for distance between two points:
d = √((x₂-x₁)² + (y₂-y₁)²)
Let point 1 be (-3, 11) and point 2 be (5, 5)
Therefore x₁ = -3, y₁ = 11, x₂ =5, y₂ = 5, and substituting in the formula above.
d = √((x₂-x₁)² + (y₂-y₁)²)
= √((5- -3)² + (5-11)²)
= √((5+3)² + (5-11)²)
= √((8)² + (-6)²) 8² = 8*8 = 64, (-6)² = -6*-6 = 36
= √(64 + 36)
= √(100)
= 10
Distance = 10 units.
Answer:
B
Step-by-step explanation:
Expressing the ratios as fractions, that is
=
( cross- multiply )
a = 3b
=
( cross- multiply )
c = 5b
------------------------------------------
Given
, substitute values from above for a and c
= 
= 
=
← cancel b on numerator/ denominator
=
→ B
Solution:
we are given that
A jury pool consists of 50 potential jurors.
Wee have been asked to find the number of ways can a jury of 12 be selected.
As we know from the concept of combination that r person can be selected out of n in ncr ways. where

Now substitute the values we get

Hence the required number of ways is 121399651100
Answer:
Multiplying to negative numbers equals a positive answer.
Step-by-step explanation:
Answer:
x=63
Step-by-step explanation:
<em>Subtract by 150 from both sides of equation.</em>
<em>150-x-150=87-150</em>
<em>Simplify.</em>
<em>87-150=-63</em>
<em>-x=-63</em>
<em>Divide by -1 from both sides of equation.</em>
<em>-x/1=-63/-1</em>
<em>Simplify, to find the answer.</em>
<em>-63/-1=63</em>
<em>x=63 is the correct answer.</em>
<em>I hope this helps you, and have a wonderful day!</em>