Answer:
Step-by-step explanation:
So we know that the slope is 2 and the lines passes through the point (-5,1).
We can use the point-slope form. The point-slope form is:
Where m is the slope and (x₁, y₁) is a point.
So, let's substitute 2 for m and (-5,1) for (x₁, y₁), respectively. Therefore:
Simplify:
Distribute the 2:
Add 1 to both sides:
So, the equation of our line is:
If we are looking to simplify two trinomials, it is easiest to put them on top of each other and subtract.
7x² - 2x + 5 7x² - 2x + 5
- (3x² + 4x + 10) -3x² - 4x - 10
4x² - 6x - 5
1,800square ft/$1,200
1.5 square ft for $1
Now to find the area of mr. halloran’s office
$18,000/12 months = $1,500 per month
$1,500•1.5 sqft = 2,250 square feet
So mr. Halloran’s office area is 2,250 square feet and he pays $1,500 per month
Answer:
(-10,-10)
Step-by-step explanation:
9x-9y=0
3x-4y=10
In elimination, we want both equations to have the same form and like terms to be lined up. We have that. We also need one of the columns with variables to contain opposites or same terms. Neither one of our columns with the variables contain this.
We can do a multiplication to the second equation so that the first terms of each are either opposites or sames. It doesn't matter which. I like opposites because you just add the equations together. So I'm going to multiply the second equation by -3.
I will rewrite the system with that manipulation:
9x-9y=0
-9x+12y=-30
----------------------Add them up!
0+3y=-30
3y=-30
y=-10
So now once you find a variable, plug into either equation to find the other one.
I'm going to use 9x-9y=0 where y=-10.
So we are going to solve for x now.
9x-9y=0 where y=-10.
9x-9(-10)=0 where I plugged in -10 for y.
9x+90=0 where I simplified -9(-10) as +90.
9x =-90 where I subtracted 90 on both sides.
x= -10 where I divided both sides by 9.
The solution is (x,y)=(-10,-10)
Answer:
1. List the first several multiples of each number.
Look for multiples common to both lists. ...
Look for the smallest number that is common to both lists.
This number is the LCM.
Find the GCF for the two numbers.
Divide that GCF into the either number; it doesn't matter which one you choose, so choose the one that's easier to divide.
Take that answer and multiply it by the other number.
Step-by-step explanation:
Hope this helps!
