Answer:
y = 4,-6
Step-by-step explanation:
0 property states that 0 times any number is 0
applying that here, that means y+6 = 0 or y-4 = 0
0(y-4) = 0; (y+6)(0) = 0
y+ 6 = 0
y = -6
y-4 = 0
y = 4
Answer:
12/13
Step-by-step explanation:
A probability is the number of desired outcomes over the total number of outcomes.
Assuming that this is a standard deck of playing cards, there will be 52 cards, and there will be 4 "4" cards.
First, find the number of desired outcomes, and put it over the total number of outcomes.
Out of the total number of outcomes (52), there are 4 outcomes that are not wanted, hence the equation is:
52 - 4 = 48
So out of the 52 possible outcomes, 48 are desired. Set up the fraction and
simplify:
48/52
/4 /4
= 12/13
<h2>2x+y=2</h2>
Step-by-step explanation:
Let
be the point 
Let
be the point 
The equation of the line passing through two points 
and
is 
substituting
in the above equation yields

which when simplified gives 
which when further simplified gives 
<h3>
Answer: B. 781.6 feet approximately</h3>
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Work Shown:
The horizontal portion is 400+166 = 566 feet. Label this as 'a', so a = 566. The vertical side is unknown, so b = x. The hypotenuse is c = 965
Use the pythagorean theorem
a^2+b^2 = c^2
566^2+x^2 = 965^2
x^2 = 965^2 - 566^2
x = sqrt( 965^2 - 566^2 )
x = 781.58108984289 which is approximate
x = 781.6 feet when rounding to one decimal place
94%
47/50 × 100 = 47 ×2 = 94 %