3 and 5 over 12 divided by 2 and 1 over 6

Ann [662]

Dear Foxqueen, the dependent variable is D because the grades depend on the time spent playing video games. A is not logical because the video games owned might not be played, B is illogical because the points are the product of the video games, and C is not logical because that is actually the independent variable. (rate this brainiest)

6 0

2 years ago

Triangle ABC is formed by the vertices A(1,2,-1), B(-3,-6,2)and C(3,-2,0).

Vesnalui [34]

Answer:

Point D: $(0,-4, 1 )$

d = √41

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Pre-Calculus

Midpoint Formula [3D]: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}, \frac{z_1+z_2}{2} )$
Distance Formula [3D]: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$

Step-by-step explanation:

Step 1: Define

Point A(1, 2, -1)

Point B(-3, -6, 2)

Point C(3, -2, 0)

Step 2: Find Point D

Simply plug in your coordinates B and C into the midpoint formula to find midpoint

Substitute [MF]: $(\frac{-3+3}{2},\frac{-6-2}{2}, \frac{2+0}{2} )$
Add/Subtract: $(\frac{0}{2},\frac{-8}{2}, \frac{2}{2} )$
Divide: $(0,-4, 1 )$

Step 3: Find distance d

Simply plug in the 2 coordinates A and D into the distance formula to find distance d

Substitute [DF]: $d = \sqrt{(0-1)^2+(-4-2)^2+(1+1)^2}$
Subtract/Add: $d = \sqrt{(-1)^2+(-6)^2+(2)^2}$
Exponents: $d = \sqrt{1+36+4}$
Add: $d = \sqrt{41}$

5 0

2 years ago

The graph of an equation with a negative discriminant always has which characteristic?

spin [16.1K]

Answer:

The graph does not intercept the x-axis

Step-by-step explanation:

Hi there!

When the discriminant is positive, it means that in the quadratic equation, you can take the square root of this number and end up with two distinct solutions, one negative and one positive. The graph will intercept the x-axis twice.

When the discriminant is zero, it means that you won't be taking the square root of any number in the quadratic equation and you'll end up with two solutions that are equal, or just one distinct solution. The graph will intercept the x-axis once.

When the discriminant is negative, it means that the quadratic has no real solutions, meaning that it does not intercept the x-axis. It is impossible to take the square root of a negative number.

I hope this helps!

7 0

2 years ago

Write 5% as a decimal.

jolli1 [7]

You cannot do it that way. Make sure the question you wrote is correct, because you would divide 5 by 100, not 100 by 5. A simple way is to move the decimal point two points to the left. 5% as a decimal is 0.05.

The answer is false if the question is written this way.

3 0

2 years ago

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

BlackZzzverrR [31]

Answer:

The midpoint is (2 , 1)

Step-by-step explanation:

To find the midpoint, we have to add the corresponding coordinates

[(-5 , 3) + (3 , -1)] / 2

we separate into the corresponding

(-5 + 3) / 2 =

-2 / 2 = -1

(3 - 1) / 2 =

2 / 2 = 1

The midpoint is (2 , 1)

3 0

2 years ago