MATHEMATICS
HIGH SCHOOL

True

False

Answer: No, false. Any two straight lines that intersect define a plane in which both those lines lie.

Answer: Two intersecting lines lie in two planes.

They can, but they don't have to, so True I guess

They can, but they don't have to, so True I guess

MIDDLE SCHOOL

Consider the system of linear equations. 2y = x + 10

3y = 3x + 15

Which statements about the system are true? Check a

that apply.

The system has one solution.

The system graphs parallel lines.

Both lines have the same slope.

Both lines have the same y-intercept.

Nhe equations graph the same line.

The solution is the intersection of the 2 lines.

Answer:

The system has one solution.

Both lines have the same y-intercept.

The solution is the intersection of the 2 lines.

Step-by-step explanation:

Lines are

slope = 0.5

y intercept(put x =0) =5

slope = 1

y intercept(put x =0 ) =5

Both are linear equation thus they have only one solution. Also two non parallel lines meet only at one point.

If you solve these linear equation coordinate of point of intersection of line on graph will come.

Answer:

[A] The system has one solution.

[D] Both lines have the same y-intercept.

[F] The solution is the intersection of the 2 lines.

Step-by-step explanation:

MIDDLE SCHOOL

How does an equation show thw relationship between variables and other quantities in a situation

An equation shows the relationship between variables and other quantities in a situation, by equating the constraints of the situation.

What is equation of variable?The variable is the unknown part of the equation. Variable changes withe change in the quantities for any situation.

Properties of a equation-

- Equations are the expression which consist the variables, coefficients of variables and constants.

- The equations are used represent the general problem in the mathematical way to solve them.

- The equation are used to shows the relationship between the variables of the equation and the quantities in a situation.

Suppose a situation, in which a taxi driver charge amount for number of miles of a taxi ride. The equation for this is given as,

Here in the variable (y) represent the charge of taxi and variable (x) represent the number of rides the taxi traveled.

Here the constant 10 is the fixed amount which is charged by the taxi driver and coefficient of (x) 5 is the rate by which the the value of x increases with respect to y.

Hence, an equation shows the relationship between variables and other quantities in a situation, by equating the constants of the situation.

Learn more about the equation of variable here;

brainly.com/question/691540

Answer:

An equation is basically a way to show a relationship of variables (x,y,a,b, etc) and numbers. The relationship between these numbers and variables is a lot like a laundry bag. If you are given a laundry bag that only has your pants in it, you could call this laundry bag "x". Then you have your other laundry bag which only has your shirts in it, this could be called laundry bag "y". The amount of shirts and pants in each of those laundry bags could be counted separately, or if you combine them, counted together.

Step-by-step explanation:

This could be shown like:

total amount of clothes.

If you have 5 shirts which equals y, and 2 pants which equals x, you could quickly count how many clothes in total you have.

Total amount of clothes

Place x=2 and y=5 into that equation.

Which gives you your total clothes.

MIDDLE SCHOOL

Emilia bought 9/12 pound of sliced salami at the deli counter.Which of the following decimals did the scale show? 0.25

0.34

0.7

0.75

To start this problem, what we need to do is try to simplify the fraction into one we might know already. The best way to go about doing this is to see if we can divide the top and bottom by any of the same numbers.

We can divide 9 by 1, 3, and 9

We can divide 12 by 1, 3, 4, and 12

Looking back over the numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.

Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!

We can divide 9 by 1, 3, and 9

We can divide 12 by 1, 3, 4, and 12

Looking back over the numbers, we can see that both 9 and 12 are divisible by 3, so if we divide both of them by 3, we will get a new fraction! This fraction will be 3/4.

Our next step is to see if we know what 3/4 is. I know 1/4 is .25 because the coin called a quarter is 25 cents, so if I had 3 quarters, I would have 75 cents, so I know know that 9/12 = 3/4 = .75!

MIDDLE SCHOOL

Convert the rational expression to radical form m^2/3