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laila [671]
3 years ago
15

1. The parallel line needs to intersect the other two sides at their

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0
Yes, that like will divide the side in proportion
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Solve the quadratic equation for x in the simplest equation -6x^2+15x+9=0
-BARSIC- [3]

Answer:

Step-by-step explanation:

-6x²+15x+9=0

divide by -3

2x²-5x-3=0

2x²+x-6x-3=0

x(2x+1)-3(2x+1)=0

(2x+1)(x-3)=0

either x=-1/2

or x=3

8 0
2 years ago
Solve by any method (graphing, substitution, linear combination) <br> y=x−7 <br> 5x+2y=7
Virty [35]

Answer:

  (x, y) = (3, -4)

Step-by-step explanation:

See the attached for a graph.

3 0
3 years ago
Use the given values of n and p to find the minimum usual value μ−2σ and the maximum usual value μ+2σ. Round to the nearest hund
lbvjy [14]

Answer:

μ−2σ = 1,089.26

μ+2σ = 1,097.62

Step-by-step explanation:

The standard deviation of a sample of size 'n' and proportion 'p' is:

\sigma=\sqrt{\frac{p*(1-p)}{n} }

If n=1139 and p =0.96, the standard deviation is:

\sigma=\sqrt{\frac{p*(1-p)}{n}}\\\sigma = 0.001836

The minimum and maximum usual values are:

\mu-2\sigma = (p-2\sigma)*n\\\mu+2\sigma = (p+2\sigma)*n

\mu-2\sigma = (0.96-2*0.001836)*1139\\\mu-2\sigma = 1,089.26\\\mu+2\sigma = (0.96+2*0.001836)*1139\\\mu+2\sigma = 1,097.62

5 0
3 years ago
You roll 2 number cubes. What is the probability of rolling double twos?<br> EZ points!
Misha Larkins [42]

Answer:

Step-by-step explanation:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

3 0
2 years ago
Read 2 more answers
Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )
vesna_86 [32]
\bf y=cot\left(x-\frac{2\pi }{3}  \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3}  \right)}{sin\left(x-\frac{2\pi }{3}  \right)}

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

\bf sin\left(x-\frac{2\pi }{3}  \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3}  \right) \right]=sin^{-1}(0)&#10;\\\\\\&#10;x-\frac{2\pi }{3}=&#10;\begin{cases}&#10;0\\&#10;\pi &#10;\end{cases}\implies \measuredangle x=&#10;\begin{cases}&#10;\frac{2\pi }{3}\\&#10;\frac{5\pi }{3}&#10;\end{cases}

now, at those angles, the function is asymptotic, check the picture below

3 0
3 years ago
Read 2 more answers
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