Answer:
Part A
it supposed to be x⩾-1/3 since you divided by negative
Step-by-step explanation:
Part A
4-6x⩾-15x+1
step 1: add -6x to both sides
4-6x+6x⩾-15x+6x+1
=4⩾-9x+1
step 2: subtract 1 from both sides
4-1⩾-9x+1-1
3⩾-9x
step 3: do reflexive property and divide
3⩾-9x
= <u>-9x⩽3</u>
-9
x⩽-1/3
and since you divided by negative, the sign must change. so it'll be x⩾-1/3
We can use tan(x) = sin(x)/cos(x). Plug in numbers to get:
tan(x+pi/2) = sin(x+pi/2)/cos(x+pi/2)
Here, you can use the sin and cos addition identity:
tan(x+pi/2) = (sin(x)cos(pi/2)+cos(x)sin(pi/2))/(cos(x)cos(pi/2)+sin(x)sin(pi/2))
If you simplify this, you get:
0+cos(x)/0-sin(x)
Which is the definition of cot(x). But, we can't forget about the '-' sign, so, the answer is -cot(x)
Answer:

Step-by-step explanation:
Use the Pythagorean Theorem:
![\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%209%2C7%5E2%20%2B%20b%5E2%20%3D%2013%2C3%5E2%3B%20%5Csqrt%7B82%2C8%7D%20%3D%20%5Csqrt%7Bb%5E2%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7B3%5Csqrt%7B230%7D%7D%7B5%7D%5C%3A%5Bor%5C%3A9%2C0994505329...%5D%20%3D%20b)
So, you have this:

I am joyous to assist you at any time.
4 thousands = 4,000
21 tens = 21*10 = 210
210 + 4,000 = 4,210
Answer: 4,210