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3 years ago

What is the equation in standard form of the line which passes through (4, -2) and has a slope of -3?

Mathematics

1 answer:

taurus [48]3 years ago

8 0

Answer:

3x+y-10=0

Step-by-step explanation:

y-y1=m (x-x1)

In the question we are told that

m= -3

y1= -2

x1=4

With this information, we can make a substitution.

y--2=-3 (x-4)

Simplify and expand brackets

y+2=-3x+12

Rearrange in standard form

3x+y-10=0

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slavikrds [6]

I think it is also D

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3 years ago

The image of RST in the graph shown below is rotated 90°counterclockwise around the origin to form R'S'T'.

Aleonysh [2.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.

In other words,

P(x, y) → P'(-y, x)

From the given triangle ΔRST,

The coordinates of the point S is:

S(10, 1)

According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:

S(10, 1) → S'(-1, 10)

Here,

S'(-1, 10) is the image of the original point or pre-image point S(10, 1).

Therefore, the y-coordinate of the point S' is: 10

5 0

3 years ago

If the mean of the data set is 3 chicken nuggets, find the missing number of chicken nuggets

jeka57 [31]

<span>The mean, or average, of a data set is calculated by summing all of the numbers in the data set and dividing that sum by the number of data points in the set. If the mean of a data set is known, then that mean contains information on the missing number. Multiplying the mean by the number of data points gives the "true" sum of all the data points, including the missing number. The sum of the known data points is less than this true sum, because the sum of the known points does not include the value of the missing number. The difference between the sum of the known data points and the true sum is exactly the value of the missing number. However, if multiple data points are missing, this method does not work.</span>

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4 years ago

Determine whether the relationship between the circumfrance of a circle and its diameter is a direct variation. If so, identify

kipiarov [429]

Answer:

The relationship between the circumference of a circle and its diameter represent a direct variation and the constant of proportionality is equal to the constant $\pi$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y=kx$

where K is the constant of proportionality

In this problem we know that

The circumference of a circle is equal to

$C=\pi D$

therefore

the relationship between the circumference of a circle and its diameter is a direct variation and the constant of proportionality is equal to the constant $\pi$

3 0

4 years ago

A closed-top cylindrical container is to have a volume of 250 in2. 250 , in squared , . What dimensions (radius and height) will

miv72 [106K]

Answer:

radius r = 3.414 in

height h = 6.8275 in

Step-by-step explanation:

From the information given:

The volume V of a closed cylindrical container with its surface area can be expressed as follows:

$V = \pi r^2 h$