Answer:
A
Step-by-step explanation:
(See the imagine for reference)
Let’s solve where they have a triangle, so the height is 9 cm, the base is 3 cm:
1/2 • 9 • 3 = 13.5
Since there’s 2 triangles we do:
13.5(2) = 27
Now the rectangle in the middle, where the height is 9cm and the base is 12cm:
12 • 9 = 108
Add up the areas:
108 + 27 = 135
Answer:
There are 24 squares in the entire rectangle
Step-by-step explanation:
Trom the problem, we are given that one row covers 1/8 of the entire rectangle.
We are also told that this one row, contains three squares.
In other words, what this means is that three squares cover 1/8 of the entire rectangle.
The question is now if three squares cover only 1/8 of the rectangle, how many squares cover the whole rectangle.
In fraction, we can represent a whole using 1/1
We can set up a simple relation to this effect.
3 squares give 1/8 of the rectangle
x squares give 1/1 of the rectangle
cross multiplying, we have
x = 3 ÷(1/8) = 24
Therefore, there are 24 squares in the entire rectangle
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)
