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3 years ago

11

What is the solution set of x^2+y^2=26 and x-y=6?

1 answer:

lubasha [3.4K]3 years ago

5 0

I think it's B because it's makes the most sense

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Check whether the given number is a solution of the equation or

maxonik [38]

Answer:

13. is a solution of the equation. 14. and 15. are both inequalities.

Step-by-step explanation:

the equal sign is something you can look out for to decide if it is a solution to the equation. the > sign means 'greater than' and the ≤ means 'less than' or 'equal to'. both are not equals, therefore they are inequalities.

5 0

3 years ago

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A coin is tossed 8 times. What is the probability of getting all heads? Express your answer as a simplified fraction or a decima

kumpel [21]

Answer:

The probability of getting all heads is $\frac{1}{256}$ .

Step-by-step explanation:

For each time the coin is tossed, there are only two possible outcomes. Either it is heads, or it is not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that:

A coin is tossed 8 times. This means that $n = 8$

In each coin toss, heads or tails are equally as likely. So $p = \frac{1}{2}$

What is the probability of getting all heads?

This is $P(X = 8)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$[tex]P(X = 8) = C_{8,8}*(\frac{1}{2})^{8}*(1 - \frac{1}{2})^{0}$ = $\frac{1}{256}$

The probability of getting all heads is $\frac{1}{256}$ .

7 0

3 years ago

For the piecewise function, find the values g(-2), g(3), and g(4).

miv72 [106K]

Answer:

g(-2)= -2 + 5 =3 ( here we chose the function g(x)= x+5 as x< 3)

Step-by-step explanation:

g(3)= is not defined ( function is defined for x<3 and x>3 but not x=3)

g(4) = 6-4=2 ( here we chose the function g(x)= 6-x as x> 3)

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3 years ago

Find the perimeter of area of rectangle 5 in 7in

scZoUnD [109]

Area of a rectangle is A=l*w so you have 5 and 7 you times that and you get 35 squared inches

3 0

2 years ago

Consider the following pair of equations: y = x + 4 y = −5x − 2 Explain how you will solve the pair of equations by substitution

marissa [1.9K]

Answer:

(-1, 3)

Step-by-step explanation:

to solve using substitution, you have to know the value of either x or y. in this example, they gave you the value of y already: y=x+4.

this means you can substitute the y for (x+4). if we substitute y for (x+4) in the equation y=-5x-2, we get this:

(x+4)=-5x-2

then solve for x

6x=-6

so x=-1

since we know the x value, we can solve for y

y=x+4

y=-1+4

y=3

so the final answer is (-1, 3)

6 0

3 years ago

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