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3 years ago

Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4, 0), m = 5

Mathematics

2 answers:

Sergio039 [100]3 years ago

5 0

5x + -1y = 20
You can simplify it to 5x-y=20

adoni [48]3 years ago

3 0

Answer:

$5x-y=20$

Step-by-step explanation:

We are asked to find the standard form of the equation of line, which passes through point R(4,0) and having a slope of 5.

First of all, we will write equation of line in point-slope form:

$(y-y_1)=m(x-x_1)$ , where,

m=slope of line,

$(x_1,y_1)$ = Coordinates of point that lies on the line.

Upon substituting our given values in point-slope form of equation we will get,

$(y-0)=5(x-4)$

Now, we will convert our equation into standard form of equation: $ax+by=c$

Upon using distributive property we will get,

$y=5x-20$

Now we will subtract 5x from both sides of our equation as:

$-5x+y=5x-5x-20$

$-5x+y=-20$

Upon multiplying our equation by -1, we will get,

$5x-y=20$

Therefore, our required equation would be $5x-y=20$ .

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Why does 1.5 x 4.2 equal 6.3? Someone answer please

miskamm [114]

Answer: Look at it this way, you are adding 4.2, .5 times. So if you find what 1.5 is of 4.2 you then add that to 4.2. The 1 stands for how many times the number is being multiplied by. So in this case the number is only being multiplied once. Then we move onto the decimal point which says that the number is being multiplied by .5 times. This means that 2.1 (which is half of 4.2) is being added onto 4.2. Hope this makes sense. I always use a calculator for multiplying so its hard to put the process into words haha.

Step-by-step explanation:

3 0

1 year ago

Can somebody help mee plzzzzzzzz

hammer [34]

Answer:

lines a and b are parallel. The slopes are -1/3

None of the lines are perpendicular to each other.

Step-by-step explanation:

To figure out if any of the lines are parallel or perpendicular to each other, you have to find the slopes of each line. To find the slope look at the graph find the rise over run for all of the lines:

line a: This line goes down one every time it goes over 3, which can be represented by -1/3

line b: This lines goes down one every time it goes over 3, which can also be written as -1/3

line c: This line goes up 5 every time it goes over 2, which makes the slope 5/2

When two lines are parallel, they have the same slope. Line a and line b have the same slope, so they are parallel.

When two lines are perpendicular, their slopes are negative reciprocals of each other. Since none of the slopes are a negative reciprocal of another slope, we have no perpendicular lines.

Hope this helps :)

7 0

3 years ago

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if

stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 $feet^3$