Answer:
quadratic
y=mx+c
Step-by-step explanation:
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
The two triangles are congruent, so corresponding parts of the two triangles are congruent.
GH is corresponding to DE, so GH=DE=17
Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) = 
P(Red/Spade) = 
So:
P(Spade∩Red) =
*
=
= 
It’s 7.406 , that’s the correct answer