MATHEMATICS HIGH SCHOOL

The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y - 3 = m(x - 1). What is the slope-intercept form of the equation for this line? A) y = 2/3x + 2 B) y = x - 4 C) y = (2x + 2) / 2 D) y = -2x - 2

Answers

Answer 1

Answer:

Answer:

m = (3 - (-2))/(1 - (-9)) = 5/10 = 1/2

y - 3 = (1/2)(x - 1)

y - 3 = (1/2)x - (1/2)

y = (1/2)x + (5/2)

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Pentagons R and S are similar. The area of Ris 13 cm2. Calculate the area of S. 5 cm R 3 cm S 40 cm 15 cm

Answers

Answer: the area of pentagon S is approximately 4.68 cm².

Step-by-step explanation:

To find the area of a similar figure, you can use the concept of ratios. If pentagons R and S are similar, it means that their corresponding sides are proportional.

Let's denote the area of pentagon S as A(S), the area of pentagon R as A(R), the scale factor between them as k, and the area of R as 13 cm².

Since area is a two-dimensional measurement, it depends on linear dimensions (e.g., side lengths) squared. Therefore, if the scale factor between the two pentagons is k, the ratio of their areas will be k².

So, we have:

A(S) / A(R) = k²

We know that the area of R is 13 cm². Now, we need to find the scale factor k. To do that, we can use the ratio of their corresponding sides.

Given:

Side length of R (5 cm) corresponds to a side length of S (3 cm).

So, the scale factor (k) is:

k = (corresponding side length of S) / (corresponding side length of R) = 3 cm / 5 cm = 3/5

Now, we can find the area of S (A(S)) using the scale factor:

A(S) / 13 cm² = (3/5)²

A(S) / 13 cm² = 9/25

To find A(S), multiply both sides by 13:

A(S) = (9/25) * 13 cm²

A(S) = 9 * (13/25) cm²

A(S) = 4.68 cm²

So, the area of pentagon S is approximately 4.68 cm².

Sally found that a solution of x = 2 was extraneous for her function. What would be a possible denominator in Sally's function?

Answers

If you have a fraction, then the denominator (bottom) cannot equal 0, since it is impossible to divide by 0. Take a look at the function below.

$y=(5)/(x-2)$

If we plugged in 2 for x, we would end up with a denominator of 0, making x = 2 "extraneous."

(you can use this example to answer your question, with the denominator being x-2...any expression that evaluates to 0 when x = 2 would work)

x=2 should work

yay so only follow thw answer above

from 5 employees at a company a group of 3 employees will be chosen to work on a project. how many different groups of 3 employees can be choosen?

Answers

The answer to the math question presented above would be 10. From 5 employees at a company a group of 3 employees will be chosen to work on a project, the number of different groups of 3 employees can be chosen is 10. You can have 10 different groups of threes in 5 employees.

Is the line description for x+3y=1 slanted downwards?

Answers

Yes it is (and instead of saying downwards, it's clearer to say that as the x value increases, y decrease).
If you chance the formula into y = mx +b form, you get y = -1/3 + 1/3, and since m, or the slope, is negative, the line will decrease from right to left across the graph

Answer: yes, it is

Step-by-step explanation:

What percent of 6 is 5?