All categories

3 years ago

Write the equation of the line with a slope of -1/3 and passing through the point (6, -4).

1 answer:

4 0

Y = -1/3x + b
then plug it in
-4 = (-1/3 x 6) + b. (6 times -1 divided by 3)
-4 = -2 + b. (move -2 to other side)
b = -2. (now put em all together)
y = -1/3x -2

You might be interested in

Adam’s sister wants to watch her intake of fat per day.

Paladinen [302]

48/70 = 24/35

24/35 = 0.6857

= 68.57%

5 0

4 years ago

Read 2 more answers

Which of the following is an example of the additive identity?

bulgar [2K]

Answer:

Option C is correct

a + 0 = a

Step-by-step explanation:

Additive identity:

For any real number x,

$x+0 = 0+x = x$

We have to find an example of the additive identity from the given options.

Option A.

a+(-a) = 0

Which does not follow the additive identity.

Option B.

a+0 = 0

which does not follow the additive identity.

Option C.

a+0 = a

this equation follows the additive identity.

Therefore,an example of the additive identity is, a + 0 = a

7 0

3 years ago

Help me please, match the number to the letter

kenny6666 [7]

Answer: 1b 2c 3e? 4d 5a

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

There are 2 items that need to be checked.

The midpoint of the coordinates is the center of the circle
The diameter of the coordinates is the diameter of the circle.

Midpoint:

$Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\1)\ \bigg(\dfrac{-4+2}{2},\dfrac{-1+10}{2}\bigg)=\bigg(\dfrac{-2}{2},\dfrac{9}{2}\bigg)=(-1, 4.5)\implies \text{equation b}\\\\\\2)\ \bigg(\dfrac{1+7}{2},\dfrac{3-10}{2}\bigg)=\bigg(\dfrac{8}{2},\dfrac{-7}{2}\bigg)=(4, -3.5)\implies \text{equation c}\\\\\\3)\ \bigg(\dfrac{4-8}{2},\dfrac{-2+6}{2}\bigg)=\bigg(\dfrac{-4}{2},\dfrac{4}{2}\bigg)=(-2,2 )\implies \text{none of the equations}$

$4)\ \bigg(\dfrac{6-4}{2},\dfrac{3-13}{2}\bigg)=\bigg(\dfrac{2}{2},\dfrac{-10}{2}\bigg)=(1, -5)\implies \text{equation d}\\\\\\5)\ \bigg(\dfrac{7-1}{2},\dfrac{5+8}{2}\bigg)=\bigg(\dfrac{6}{2},\dfrac{13}{2}\bigg)=(3, 6.5)\implies \text{equation a}$

Diameter:

distance between coordinates = 2√r² (from circle equation)

$\text{formula for coordinates is: }d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\1)\ \text{Coordinates: } d=\sqrt{(-4-2)^2+(-1-10)^2}=\sqrt{36+121}=12.5\\b)\ \text{Circle: }2\sqrt{39.25}=12.5\\\\\\2)\ \text{Coordinates: } d=\sqrt{(1-7)^2+(3+10)^2}=\sqrt{36+169}=14.3\\c)\ \text{Circle: }2\sqrt{51.25}=14.3\\\\\\4)\ \text{Coordinates: } d=\sqrt{(6+4)^2+(3+13)^2}=\sqrt{100+256}=18.9\\d)\ \text{Circle: }2\sqrt{89}=18.9$

$5)\ \text{Coordinates: } d=\sqrt{(7+1)^2+(5-8)^2}=\sqrt{64+9}=8.5\\a)\ \text{Circle: }2\sqrt{18.25}=8.5$

Check:

Graph to confirm your answers are correct (see attached)

8 0

3 years ago

The outcome variable (usually Y) in a regression analysis is called the ________.

matrenka [14]

Answer:

Dependent variable

Step-by-step explanation:

The outcome variable (usually Y) in a regression analysis is called the ________.

c) dependent variable

If there are two variables and there is a linear correlation between them we try to find the regression line by using least squares method.

X the variable which is input or which is first found out is called independent variable.

The outcome variable is the dependent variable

Dummy variable is one which takes only values 0 or 1 depending on whether not present or present.

3 0

3 years ago

Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are qua

omeli [17]

Answer:

A factor are numbers or variables that can be being multiplied to each other to get another number. A factor is a quantity which is used to multiply or divide another quantity to indicate a measurement difference

A quantity is the total number or amount and it is the subject in a given mathematical operation

In the expression, -3×(4 + x)×(z - 2 - y), the factors are;

-3, (4 + x), and (z - 2 - y)

The quantities are the values that are subject to the mathematical operations including;

3, 4, x, z, 2, and y

Step-by-step explanation:

4 0

3 years ago