Answer for the first one - it's complicated, but that maths is correct
I kind of cheated and did it a different way than they'd expect. By doing 24 squared, that gives you 576.
since both angles are 45 degrees, then the sides are equal lengths. Therefore x squared times 2 = 576.
Because of this, x squared = 576 divided by 2, which equals 288.
Therefore the square root of 288 = 12 square root 2
Answer:
Caroline buys 3 packs of candles and 5 packs of holders.
Step-by-step explanation:
1.) You need to add numbers of candle packs together until they both reach the same number, for example, multiples of 30 are 30, 60, 90.
2.) Then you add multiples of the holders. 18, 36, 54, 72, 90.
3.) You find that Caroline buys 3 pakcs of candles and 5 packs of holders to have the same number of both.
we are given

now, we can factor out right side term


now, we can plug back
and we get
so,
.............Answer
Answer:
Step-by-step explanation:
if you can pick any numbers you want then:
rational could be: 0.25 or 1/4
irrational could be: 2/7
Answer:
x=2 and y=1
Step-by-step explanation:
1). Plug the y value into the second equation. It will look like the following afte you plug in what y equals:
-2x-3(6x-11)=-7
2). Then, you distribute the "-3" to all the terms inside the parenthesis.
-2x-18x+33=7
3). Then, you subtract the positive 33 from both sides to try to get the x alone on one side.
-2x-18x=-40
4.) Then, you combine all of the terms containing an x.
-20x=-40
5). Finally, you divide both sides by -20 and the outcome is x=2.
6). Hold up...we ain't done yet..
7). Next, you have to plug the x back into the either equation to get the outcome of what y will be, but for this purpose I will plug it back into the first equation.
y=6(2)-11
8). I will then distribute the 6 into the all the terms in the parenthesis and then it will look like this.
y= 12-11
9). Do the math...and the answer is y=1.