9514 1404 393
Explanation:
"Like" radicals can be added and subtracted in the same way any like terms can be combined. It can be helpful to simplify the radical as much as possible so that it can be seen whether the radicals are "like" or not.
<u>Examples</u>:
√2 +√3 . . . . cannot be combined
√2 +√8 = √2 +2√2 = 3√2 . . . . the simplified radicals can be combined
Answer:
1.
Tan 45=√2/n
n=√2
again
sin 45=√2/m
m=2
answer:<u> </u><u>m</u><u>=</u><u>2</u><u>,</u><u>n</u><u>=</u><u>√</u><u>2</u>
<u>2</u><u>.</u>
sin 45=x/3
x=3/√2=3√2/2
y=3√2/2
<u>a</u><u>n</u><u>s</u><u>:</u><u>x</u><u>=</u><u>3√2/2</u><u>,</u><u>y</u><u>=</u><u>3√2/</u><u>3</u>
<u>3</u><u>.</u>
sin 45=a/4
a=4/√2
b=4/√2
ans:<u>a</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u><u>,</u><u>b</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u>
4.
b=4 base sides of isosceles triangle
sin 45=4/a
a=4√2
ans:<u>a</u><u>=</u><u>4</u><u>√</u><u>2</u><u> </u><u>and</u><u> </u><u>b</u><u>=</u><u>4</u>
Here you go!! these are all the ones i know, sorry but i hope you get a A+
Answer:
D
Step-by-step explanation:
So let's start by guesstimating the slopes:
the green line has a slope close to -x, but more negative than that, possibly -2; the pink line has a slope close to +x, but higher towards +2.
Next let's look at the solution: the two lines intersect at the point (1, -1).
**you could just simple plug that x (1) into all the equations, but let's rule out answers anyway. ;)
A) is incorrect because the slopes of -1 and +1 are off from out predicted -2 and +2
B) is incorrect because of a similar reason, the slopes of +3 and +1 don't make any sense
C) Ooh, we do have a +2 and -2 for the slopes, and... violà! plug in 1 for the x's and we get -1 for the y in both equations
D) slopes are closer than in A and B, but plugging in 1 doesn't get us -1
So the correct answer is:
C) y = 2x - 3 and y = −2x + 1