How do you calculate the Hypotenuse?

1 answer:

4 0

Formula:
a^2+b^2=c^2

c^2: Is the hypotenuse.

For a^2 and b^2, you have to multiply both it by its self.

Then, add both.

Next, you square root it.

Example:

a^2+b^2=c^2

14^2+7^2=c^2

196+49=c^2

245=c^2

15.64=c^2

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Are the expressions -0.5(3x + 5) and<br> -1.5x + 2.5 equivalent? Explain why or why not.

Sedbober [7]

Answer:

No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1

7 0

3 years ago

What is the focus of the parabola? <img src="https://tex.z-dn.net/?f=y%3D%20%5Cfrac%7B1%7D%7B4%7D%20x%5E%7B2%7D%20-x%2B3" id="Te

OlgaM077 [116]

We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2

y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3

the coordinates of the focus are (2,3)

3 0

3 years ago

Read 2 more answers

The probability that an electronic device produced by a company does not function properly is equal to 0.1. If 10 devices are bo

coldgirl [10]

Answer:

Correct option: A. P=0.057

Step-by-step explanation:

<u>Binomial Distribution</u>

The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.

The PMF (Probability Mass Function) of the binomial distribution is

$\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}$

Where $q = 1-p$

The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is

$\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}$