First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
Neither, the first one is greater than 5 and so is 11
Answer: The answer is (d) ⇒ cscx = √3
Step-by-step explanation:
∵ sinx + (cotx)(cosx) = √3
∵ sinx + (cosx/sinx)(cosx) = √3
∴ sinx + cos²x/sinx = √3
∵ cos²x = 1 - sin²x
∴ sinx + (1 - sin²x)/sinx = √3 ⇒ make L.C.M
∴ (sin²x + 1 - sin²x)/sinx = √3
∴ 1/sinx = √3
∵ 1/sinx = cscx
∴ cscx = √3
(f + g)(x) means f(x) + g(x)
So, you just input the function of f(x) and g(x) altogether, then simplify it.
(f + g)(x)
= f(x) + g(x)
= 2x² + 1 + x² - 7
= 2x² + x² + 1 - 7
= 3x² - 6
The answer is b
Answer:
n= -6
Step-by-step explanation:
Simplifying
4 + -7n = -1(8n + 4) + 2
Reorder the terms:
4 + -7n = -1(4 + 8n) + 2
4 + -7n = (4 * -1 + 8n * -1) + 2
4 + -7n = (-4 + -8n) + 2
Reorder the terms:
4 + -7n = -4 + 2 + -8n
Combine like terms: -4 + 2 = -2
4 + -7n = -2 + -8n
Solving
4 + -7n = -2 + -8n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '8n' to each side of the equation.
4 + -7n + 8n = -2 + -8n + 8n
Combine like terms: -7n + 8n = 1n
4 + 1n = -2 + -8n + 8n
Combine like terms: -8n + 8n = 0
4 + 1n = -2 + 0
4 + 1n = -2
Add '-4' to each side of the equation.
4 + -4 + 1n = -2 + -4
Combine like terms: 4 + -4 = 0
0 + 1n = -2 + -4
1n = -2 + -4
Combine like terms: -2 + -4 = -6
1n = -6
Divide each side by '1'.
n = -6
Simplifying
n = -6
