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3 years ago

Please Help

Mathematics

1 answer:

Klio2033 [76]3 years ago

5 0

Answer:

(x - 1)^2 + (y - 0.5)^2 = 25.

Step-by-step explanation:

We need to calculate the radius and the coordinates of the center of the circle.

The center is at the midpoint of the diameter = (-1 + 3)/2 , (2+-1)/2

= (1, 0.5).

The radius = 1/2 * diameter = 1/2 * √[ (-1-3)^2 + (2 - -1)^2 ]

r = √25/2 = 2.5

r^2 = 2.5^2 = 6.25.

The general form of the equation is

(x - a)^2 + (y -b)^2 = r^2 where (a,b) is the center and r = the radius.

So the required equation is:

(x - 1)^2 + (y - 0.5)^2 = 6.25.

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Gabriel earned $238.40 at His job when he word for 16 hours what was his hourly wage in dollars per hour?

Fiesta28 [93]

Answer:

$14.9

Step-by-step explanation:

238.40 / 16 = $14.9 hourly

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3 years ago

Read 2 more answers

Answer for branliest

Igoryamba

Answer:

1/3

Step-by-step explanation:

P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3

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3 years ago

5. Select ALL of the following expressions that are linear functions (they do not need to be in slope-intercept form).

Anon25 [30]

Answer:

The following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

Step-by-step explanation:

We know that linear functions are the equations with a straight line graph in an XY plane.

Also, a linear function is a function of the form

$f(x)=mx+b$

where m is the slope and b is the y-intercept. The only power of the variable is 1.

So, from the given expressions we can determine that:

1) $y^2=\:5x\:+2$

$y^2=\:5x\:+2$ is NOT a linear function because the power of y is 2, hence the graph won't be a straight line. Therefore, it is not a linear function

2) $2x\:+\:4\:=\:3x\:-\:8$

$2x\:+\:4\:=\:3x\:-\:8$

$x=12$

This is a linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1

3) $y = 3x - 2$

$y = 3x - 2$ is a linear function because it is of the form $f(x)=mx+b$ and the power of its x and y variables is 1. Hence, the function has a straight line graph.

4) $y\:+\:x^2\:=\:12$

$y\:+\:x^2\:=\:12$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

5) $y\:=\:x^2\:+\:2x$

$y\:=\:x^2\:+\:2x$ is NOT a linear function because the power of x is 2, hence the graph won't be a straight line. Therefore, it is not a linear function.

6) $1$

$1$ is a constant function and a constant function is also considered linear in this context, as it is a polynomial of degree $0$ or is the $0$ polynomial.

7) $3x\:+\:-y\:=\:24$

$3x\:+\:-y\:=\:24$ is a linear function as the power of its x and y variables is 1. Hence, the function has a straight line graph. Therefore, it is a linear function.

In a summary, the following are the LINEAR functions.

$2x\:+\:4\:=\:3x\:-\:8$

$y = 3x - 2$

$3x\:+\:-y\:=\:24$

7 0

3 years ago

If g(x)=2x−8

Trava [24]

Answer:

Step-by-step explanation:

Since it said UP which is the positive direction, then you add 4 with -8, which equals to -4

g(x)=2x-4

6 0

2 years ago

The punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups

Eduardwww [97]

2.75 cups were in the punch bowl before felicia refilled it .

<u>Step-by-step explanation:</u>

Here we have , the punch bowl at felicia's party is getting low so she adds 12 cups of punch to the bowl two guests serve themselves 1.25 cups and 2 cups and 2 cups of punch the punch bowl now contains 11.5 cups of punch . We need to find how many cups were in the punch bowl before felicia refilled it let n=number of cups bowl before felicia refilled it. Let's find out:

Initially we have , n number of cups of punch ! Than 12 additional cups were added , given below is the equation framed for the number of cups present:

⇒ $n+12$