What is the equation of a line with a slope of 1/2 and a point (3, 1) on the line?

1 answer:

6 0

$y(x)=( \frac{1}{2} )x+b \\ y(3)=( \frac{1}{2})3+b \\ 1= \frac{3}{2}+b \\ b=- \frac{1}{2} \\ \\ \boxed {y(x)=( \frac{1}{2} )x- \frac{1}{2} }$

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Please correct answer

alexdok [17]

Answer:

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Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the

Klio2033 [76]

This question is incomplete because the options are missing; here is the complete question:

Kareem wants to find the number of hours the average sixth-grader at his school practices an instrument each week. Which is the best way Kareem can get a representative sample?

A. He can randomly survey 50 boys in the school.

B. He can survey 30 students in the school band.

C. He can randomly survey 50 6th graders in the school.

D. He can survey 20 friends from his neighborhood.

The correct answer is C. He can randomly survey 50 6th graders in the school.

Explanation:

A representative sample is a portion of a population that shows the characteristics of all the population. In this context, for a sample to be representative it needs to include only individuals of the population that is studied. Also, ideally, individuals should be selected randomly as this guarantees the sample is not influenced by the researcher. According to this, option C is the best as this is the only one that focuses on the target population (6th graders) and the sample is random, which contributes to the sample being objective and representing the behavior of 6th-graders.

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3 years ago

The equation of a circle is x2 + y2 + 6x + 4y + 10 = 1. What is this equation written in its standard form?

Over [174]

You need to complete the square in x and in y,

$x^{2} + y^{2} + 6x + 4y + 10 = 1$

First, group the x-terms and the y-terms separately.

$x^{2} + 6x + y^{2} + 4y + 10 = 1$

Move the 10 to the right side by subtracting 10 from both sides.

$x^{2} + 6x + y^{2} + 4y = -9$

Now complete the square in x and in y.
The constant you need to add to complete each square is the square of half of the coefficient of the x or y term. Make sure to add the constants to both sides of the equation.

$x^{2} + 6x + 9 + y^{2} + 4y + 4= -9 + 9 + 4$

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Fiesta28 [93]

The anwser would be c

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Vika [28.1K]

a) The answer is 3/3, as that makes it a whole. Whole = 1.

b) The answer is 8 as having a denominator of 1 makes it a whole already. That's 8 wholes.