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3 years ago

A line has a zero slope and passes through the point (-5,4). What is the equation of the line?

Mathematics

1 answer:

zhenek [66]3 years ago

5 0

Answer:

y=4

Step-by-step explanation:The answer is y=4 because the line has no slope so it will not increase or decrease at a constant rate. If we were to plug it in it would be y=0/0+4. this basically means that the y-axis is equivalent to 0/0 (no slope) plus 4, we can then cancel out 0 since it is nothing simplifying the equation to y=4.

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How do you find the area of a circle and what is the formula for it

mote1985 [20]

Answer:

Read Exp:

Step-by-step explanation:

Area = 3.14 x r^2

I've Included a picture to tell you how to get the diameter as well as the circumference.

3 0

3 years ago

Read 2 more answers

Veronica has been saving dimes and quarters she has 110 coins in all and the total value is 18.50 how many dimes and quarters do

Lady_Fox [76]

This problem can be solved by the chicken rabbits method or you can just do simple algebra.

I.) Chicken and rabbits method

First assume all 110 coins are dimes and none are quarters.

We will have a total value of 11 dollars

Now for each dime we switch out for a quarter, we adds 15 cents to the total value.

18.50-11=7.50 dollars

There are 750/15=50 group of 15 cents in the 7 dollars and 50 cents.

This also meant that we need to switch out 50 dimes for 50 quarters.

So we have 50 quarters.

That first method is very good and very quick once you get the hang of it, now I'm going to show you the algebraic way to solve this.

Let's say there are x dimes and y quarters.

Set up equation

x+y=110

10x+25y=1850

Now solve multiply first equation by 10

10x+10y=1100

subtract

15y=750

y=50

Now we set the numbers of quarters to y so the answer is 50 quarters.

I personally recommend using algebra whenever you can because the practice is very important and you will eventually get really fast at setting up and solving equations. The first method is faster in this case but the second is more generalize, hope it helps.

6 0

2 years ago

Find the equation of the plane that is parallel to the vectors left angle 3 comma 0 comma 3 right angle and left angle 0 comma 1

Sholpan [36]

Answer:

$x + 3y -z - 3 = 0$

Step-by-step explanation:

We have to find the equation of plane that is parallel to the vectors

$\langle 3,0,3\rangle, \langle0,1,3\rangle$

The plane also passes through the point (2,0,-1).

Hence, the equation of plane s given by:

$\displaystyle\left[\begin{array}{ccc}x-2&y-0&z+1\\3&0&3\\0&1&3\end{array}\right]\\\\=(x-2)(0-3) - (y-0)(9-0) + (z+1)(3-0)\\=-3(x-2)-9y+3(z+1)\\\Rightarrow -3x + 6 - 9y + 3z + 3 = 0\\\Rightarrow 3x + 9y -3z -9 = 0\\\Rightarrow x + 3y -z - 3 = 0$