All categories

3 years ago

Question 3 (1 point)

Mathematics

1 answer:

OlgaM077 [116]3 years ago

5 0

Answer:

y = 0

Step-by-step explanation:

The point-slope form equation is y - y1 = m(x - x1). Because we are trying to find the equation that passes through (2,3), use these values as x1 and y1. In this equation m is the slope and we are also given that the slope is -1. This means that the equation in point-slope form is y-3 = -1(x - 2). By simply moving some terms, this can be put in standard form. Multiply out the -1 and then add the 3 to both sides. This gives you y = -x + 5. Because we are trying to find y and we already know that x = 5, so put this into the equation. y = -(5) + 5 = 0. For future reference, to check the points that an equation passes through, you can graph the equation and see if the points asked for align with the graph equation you made (I already did this and it is correct). Hope this helps! :)

You might be interested in

2. Bo Diddly currently has a squash patch that measures 14 yards in length and 10 yards in

Sav [38]

Answer:14

Step-by-step explanation:

7 0

3 years ago

What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3

V125BC [204]

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

$y=mx+q$

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

$q=-1$

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

$m=\frac{y_2-y_1}{x_2-x_1}$

Taking the two points at (-2,3) and (1,-3), we find:

$m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2$

So the equation of the line is

$y=-2x-1$

Now we have to re-arrange it in the standard form, so in the form

$ax+bx=c$

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

$y+2x=-1$

So, option 3).

6 0

3 years ago

Let f(x) = x2- 3x - 7. Find f(-3)

Alexxx [7]

F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11

6 0

3 years ago

A film student wants to capture a shot of a satellite dish placed at the top of a building. The line of sight between the ground

Vlad1618 [11]

Answer:

34.78 feet

Step-by-step explanation:

1) using the cosine function, I did cos(43)=x/51

This is because cosine is equal to adjacent over hypotnuse

Once I found x, I used the pythagorean theorem to get 34.78 feet

3 0

3 years ago

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in thi

mamaluj [8]

Answer:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario?

First, calculate the rate of change (Slope, once it is a linear function):

I will take the points: $(0, 100)$ and $(1, 80)$

$m=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}= \frac{100-80}{0-1}=-20$

Let's understand the graph!

This linear graph is about songs being downloaded in a period of 5 weeks.

In the beginning, we have 100 songs to be downloaded. As the weeks past, the number of songs remaining decreases, that's why the graph's slope is negative. In week 5, all songs were downloaded.

The initial value (100) represents the number of songs.

Part B: Write an equation in slope-intercept form to model the relationship between x and y.

The Slope-intercept form of linear equations is $y=mx+b$

where, m is the slope and b is the y-intercept.

In this case, we have

$y=-20x+100$

3 0

4 years ago

Read 2 more answers