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Jlenok [28]
2 years ago
12

Find the slope,y-intercept,equation 

Mathematics
2 answers:
ExtremeBDS [4]2 years ago
7 0

Answer:

hola

Step-by-step explanation:

:=/(

diamong [38]2 years ago
6 0

Answer:

16 inches on both sides

Step-by-step explanation:

You might be interested in
In 2007, there were 31 laptops
abruzzese [7]

Answer:

l=31+20(y-2007)

where l is the number of laptops, and y is the year.

in 2017: l=231

Step-by-step explanation:

I will define the variable x as the number of years that passed since 2007.

Since the school buys 20 lapts each year, after a number x of years, the school will have

20*x more laptops.

and thus, since the school starts with 31 laptops, the equation to model this situation is

l=31+20*x

where l is the number of laptops.

since x is the number of years that have passed since 2007, it can be represented like this:

x=y-2007

where y can be any year, so the equation to model the situation using the year:

l=31+20(y-2007)

and this way we can find the number of laptos at the end of 2017:

y=2017

and

l=31+20(y-2007)

l=31+20(2017-2007)\\l=31+20(10)\\l=31+200\\l=231

3 0
3 years ago
What are the coordinates of one of the vertices of a rectangle when two sides are given by the lines x - 3y = -8 and 3x + y = 6?
Aleonysh [2.5K]

Answer:

(1, 3)

Step-by-step explanation:

x - 3y = -8

3x + y = 6

Isolate a variable in one of the equations:

y = 6 - 3x

Substitute the value of y into the other equation:

x - 3(6 - 3x) = -8

Use distributive property:

x - 18 + 9x = -8

Combine like terms:

10x - 18 = -8

Isolate the variable:

10x = 10

x = 1

Substitute the value of x into any equation:

3(1) + y = 6

3 + y = 6

Isolate the variable:

y = 3

5 0
3 years ago
Jamal earns $40 washing 5 windows. At this rate, how many windows did Jamal wash to earn $80?​
Alja [10]
10 windows : divide 40/5=8
Then divide 80/8 =10
3 0
2 years ago
Read 2 more answers
LaShaundra is buying fence for two triangular sections of her garden.
mixas84 [53]

Answer: 80 feet.


Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

sf=\frac{20ft}{4ft}\\sf=5ft

3. Therefore, the lenght of the side DG of the trinagle DFG is:

DG=5*AC\\DG=5*7ft\\DG=35ft

4. The perimeter of the triangle DFG is:

P_{DFG}=20ft+25ft+35ft=80ft

5. Therefore, she would need 80 feet of fence.


8 0
3 years ago
What is the equation of the line that passes through the points (5, 3) and (-3,-1)?
Liono4ka [1.6K]

Answer:

y=1/2x+1/2

m=1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,3) and (-3,-1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.

Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=

-1 - 3 over

-3 - 5

or...

m=

-4 over

-8

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,3). When x of the line is 5, y of the line must be 3.

(-3,-1). When x of the line is -3, y of the line must be -1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.

(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(5,3) and (-3,-1)

is

y=1/2x+1/2

7 0
3 years ago
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