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Lady bird [3.3K]
3 years ago
12

write the equation of the line that passes through the points (-4,4) and (6,9) and figure out what y=mx+b for this equation woul

d be.
Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
Hello there! So, y = mx + b is in slope-intercept form, where m represents the slope, b represents the y-intercept, and y and x remain unfilled. First off, let's solve for the slope. The formula for slope is y2 - y1 / x2 - x1, where you subtract the first x and y coordinates from the second x and y coordinates. So it would be formed like this:

9 - 4 / 6 - (-4)

Let's subtract. 9 - 4 is 5. 6 - (-4) is 10. 5/10 is 1/2 in simplest form. The slope for this equation is 1/2. Now, let's find the y-intercept. We will find that by plugging one of the points into the equation and solving for b. The x and y coordinates will be filled in by that coordinate. Let's use (-4, 4) for this problem. We will also plug in the slope. In this case, the problem will look like this:

4 = (1/2)(-4) + b

Now, let's multiply 1/2 and -4 to get -2. Now, to get b by itself, subtract 2 to both sides to isolate the b. -2 + 2 cancels out. 4 + 2 is 6. b = 6. There. The equation of the line in slope-intercept form is y = 1/2x + 6.
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URGENTEE. NON SO RISOLVERE QUESTO PROBLEMA.
Marrrta [24]

the question in English


Draw a rectangle having the base congruent to the nine sevenths of the height.

Let

b-------> the base of rectangle

h-------> the height of rectangle

we know that

b=(9/7)*h-------> this is the equation to obtain the base of the rectangle for a given height

examples

1) for h=7 units

b=(9/7)*7-------->b=9 units

the dimensions are 9 units x 7 units------> see the attached figure

2) for h=5 units

b=(9/7)*5-------->b=(45/7) units

the dimensions are (45/7) units x 5 units

The answer in Italian

Facciamo

b-------> base del rettangolo

h-------> altezza del rettangolo

Noi sappiamo che

b=(9/7)*h-------> questa è l'equazione per ottenere la base del rettangolo per una determinata altezza

esempi

1) per h=7 units

b=(9/7)*7-------->b=9 units


le dimensioni sono 9 units x 7 units-----> vedere la figura allegata

2) per h=5 units

b=(9/7)*5-------->b=(45/7) units


le dimensioni sono (45/7) units x 5 units

4 0
2 years ago
P(x) =x and q(x) = x-1Given:minimum x and Maximum x: -9.4 and 9.4minimum y and maximum y: -6.2 and 6.2Using the rational functio
Arte-miy333 [17]

we have the following function

\frac{p(x)}{g(x)}=\frac{x}{x\text{ -1}}

where x is between -9.4 and 9.4 and y is between -6.2 and 6.2.

We will first draw the function

from the graph, we can see that the zeroes are all values of x for which the graph crosses the x -axis

In this case, we see that that the only zero is at x=0.

Now, we have that the asymptotes are lines to which the graph of the function get really close to. On one side, we can see that as x goes to infinity or minus infinity, the values of the function get really close to 1. So the graph has a horizontal asymptote at y=1. Also, we can see that as x gets really close to 1, the graph gets really close to the vertical line x=1. So the graph has a vertical asymptote at x=1.

Recall that the domain of a function is the set of values of x for which the function is defined. From our graph, we can see that graph is not defined when x=1. So the domain of the function is the set of real numbers except x=1. Now, recall that the range of the function is the set of y values of the graph. From the picture we can see that the graph has a y coordinate for every value of y except for y=1. So, this means that the range of the function is the set of real numbers except y=1.

From the graph, we can see that we cannot draw the graph having a continous drawing. That is, imagine we take a pencil and start on one point on the graph on the left side. We can draw the whole graph on the left side, but we cannot draw the graph on the right side without lifting the pencil up. As we have to "lift the pencil up" this means that the graph is not continous

Finally note that as we have a vertical asymptote at x=1 and horizontal asymptote at y=1 we have that when y is 1 or x is 1, the function y=f(x)/g(x) is undefined

5 0
1 year ago
Please answer this correctly
Elan Coil [88]

Answer:

t=13

Step-by-step explanation:

the ratio of the shorter sides is t/4 and the ratio of the longer sides is 26/8 so t=26×4/8=104/8=13

8 0
2 years ago
Read 2 more answers
Help anyone can help me do the question 4,I will mark brainlest.​
nasty-shy [4]

Answer:

Hello,

Step-by-step explanation:

A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\

8 0
2 years ago
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Plot the image of point D under a dilation about the origin (0,0) with the scale factor of 2.
loris [4]
It’s -3,-2 hope thiisssss helpsssss
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3 years ago
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