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2 years ago

How are the slopes when the lines are parallel in a square ?

1 answer:

4 0

The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.

<h3>What is the standard equation of a line?</h3>

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y-intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.

Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.

The slope of the lines parallel to each other is equal.

Two lines are said to be perpendicular when they intersect at 90 degrees.

The slope of two perpendicular lines has a product of -1.

To known more about the standard equation of a line

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Decide whether the rates are equivalent.

ankoles [38]

Answer:

#1 is correct

Step-by-step explanation:

24 laps divided by 6 minutes equals 4 laps per minute.

72 laps divided by 18 minutes equals 4 laps per minute.

15 breaths divided by 36 seconds does not equal the same rate as 90 breaths divided by 3 minutes.

4 0

3 years ago

PLEASE ANSWER ILL MARK BRAINLIEST!!! (30 POINTSS) The swimming pool at Spring Valley High School is a rectangle with a width of

Step2247 [10]

Answer:

You could try to do it side by side then the area x side.

Step-by-step explanation:

Sorry if it is not much help, hope you figure it out!

8 0

2 years ago

In a geometric sequence, the ratio between consecutive terms is...

Leokris [45]

<h3>Answer: The same or equal</h3>

========================================================

Explanation:

Consider an example like 3, 6, 12, 24, 48, ...

The ratio between consecutive terms is

6/3 = 2
12/6 = 2
24/12 = 2
48/2 = 2

Each time we divide any given term over its previous one, we get the same ratio 2. We call this the common ratio. In terms of notation, the variable r is used for the common ratio, so r = 2 in this case.

As another example, the geometric sequence 5, 50, 500, 5000, ... has r = 10 as the common ratio because we multiply each term by 10 to get the next one. Moving forward has us multiply by r, moving backward and we divide by r. The value of r cannot be zero, but it can be negative.

An example with r being negative would be something like

1, -1, 1, -1, 1, -1, ....

we just bounce back and forth between those two values. In this case, r = -1.

6 0

3 years ago

Consider the diagram.<br> The length of segment QS__ is <br> units.

Anvisha [2.4K]

Consider the diagram.

The length of segment QS is 2, 5, 17, 33 units.

8 0

3 years ago

Consider the following table.

kobusy [5.1K]

Answer:

The function for the model that gives the pressure in atm is given as:

P = 1.000 + 0.030*D

Step-by-step explanation:

From the question, we are given the Depth with corresponding P. Our duty is to calculate the Pressure (P) in the atm given the Depth (D). From this, we know that:

1. Pressure (P) is the dependent variable, and

2. Depth (D) is the independent variable.

Hence the function is a linear relationship which is known as regression equation. This can be achieve by estimating the:

i) Slope (β), and

ii) Intercept (α).

We can obtain the slope by:

$\beta = \frac{n\sum(P)\sum(D) - \sum{PD}}{n\sum{D}^2 - (\sum{D})^2}$ , and

$\alpha = \frac{\sum{P}}{n} - \beta \frac{\sum{D}}{n}$ .

Hence, the function is:

$\hat{P}$ = α + β D

You can achieve the task through R programming. Here is the R code.

#... this code in R programming

D = c(0,33,66,99,132)

P = c(1,2,3,4,5)

mod = lm(P~D)

mod.

############################

And we obtained P = 1.000 + 0.030 D

7 0

4 years ago