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77julia77 [94]
3 years ago
9

Solve the systems using substitution. − 2x − 5y = − 5 x = 5y − 20

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0
-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)
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Sergeu [11.5K]

Answer:

m = 10

Step-by-step explanation:

Find 'n' first..... then pythag theorem for 'm'....

n is to 5    as  15 is to n

n/5   = 15/n

n^2 = 75     n = sqrt (75)

Then   m^2 =  n^2 + 5^2

            m^2 = 75  +  25       s-o-o-o-o:     m = 10

6 0
2 years ago
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Nat2105 [25]

Answer:

Step-by-step explanation:

I think its a normal 7 and a normal 3 then a -4 and a -9 and a -10

7 0
3 years ago
The formula κ​(x)= f′′(x) 1+f′(x)23/2 expresses the curvature of a​ twice-differentiable plane curve as a function of x. Use thi
Katyanochek1 [597]

Answer:

K(x) =  \frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }    ( curvature function)

Step-by-step explanation:

considering the Given function

F(x) = -5x^2

first Determine the value of F'(x)

F'(x) = \frac{d(-5x^2)}{dy}

F'(x) = -10x

next we Determine the value of F"(x)

F"(x) = \frac{d(-10x)}{dy}

F" (x) = -10

To find the curvature function we have to insert the values above into the given formula

K(x)  = \frac{|f"(x)|}{[1 +( f'(x)^2)]^{\frac{3}{2} } }

 K(x) =  \frac{-10}{[1 + (-10x)^2]^{\frac{3}{2} } }    ( curvature function)

       

6 0
3 years ago
A multiple choice test is composed of 10 questions. Each question has four possible answers, only one of the four possible answe
kompoz [17]

Answer:

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

Let X the random variable of interest "Number of correct anwers on the tet", on this case we now that:

X \sim Binom(n=10, p=0.25)

And the expected value is given by:

E(X) = np =10*0.25 = 2.5

4 0
3 years ago
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will give brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Nuetrik [128]

Answer:

vertical angles

Step-by-step explanation:

They don't share a common side, so they are not adjacent!

Hope that helps!

4 0
2 years ago
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