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svlad2 [7]
4 years ago
11

Sinxcos y = 1/3(sin(x + y) + sin(x - y)) TRUE OR FALSE

Mathematics
1 answer:
kotykmax [81]4 years ago
3 0

Answer:

Step-by-step explanation:

false (counter-example) : put x =  π/6 and y =  π/3

calculate 1) sinxcos y   you have : (sinπ/6)(cosπ/3) = (1/2)(1/2) = 1/4

                 2)  1/3(sin(x + y) + sin(x - y))

x+y = π/6 +π/3  = π/2

x - y = π/6 - π/3 = - π/6

so : 1/3(sin( π/2) + sin(- π/6)) = 1/3 ( 1 -1/2)= 1/6 because : sin( π/2) = 1

sin(- π/6) = - sin( π/6) = - 1/2

but :1/4 ≠ 1/6

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Need help with this??? Please!!!
Radda [10]

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

3 0
3 years ago
What is the simplified expression for Negative 2 a squared b + a squared minus 5 a b + 3 a b squared minus b squared + 2 (a squa
hjlf

Answer:

a^2-ab+3ab^2-2b^2

Step-by-step explanation:

-2a^2b+a^2-5ab+3ab^2-b^2+2(a^2b+2ab)

Open parenthesis

-2a^2b+a^2-5ab+3ab^2-2b^2+2a^2b+4ab

Add

-2a^2b+2a^2b=0

We have

a^2-5ab+3ab^2-2b^2+4ab

Add

-5ab+4ab=-ab

We have

a^2-ab+3ab^2-2b^2

6 0
3 years ago
Solve the equation to get x
Mariulka [41]

Answer:

the answer is

Step-by-step explanation:

x=1/2y+5---i

4x+3y=-20 ----ii

putting value of x in eqn Ii

4×(1/2×y+5)+3y=-20

2y+5+3y=-20

5y+5=-20

5y=-20-5

5y=-25

y=-25/5

y=-5

putting value in eqn I

x=1/2×-5+5

x=-5/2+5

x=5/2

4 0
2 years ago
Three fishermen caught 74 fish. They divide them equally. How many are left over ?
otez555 [7]

Answer:

2 left

Step-by-step explanation:

74/3 = 24.

24*3 = 72

74-72 = 2

8 0
3 years ago
The area of a triangular block is 49 square inches. If the base of the triangle is twice the height, how long are the base and t
andrezito [222]
1) Formula: area = height * base / 2

2) Call x the height:

height = x

base = 2x

3) State the equation:

(x)(2x) = 49 in^2

4) Solve the equation:

2x^2 = 49 in^s

x^2 = (49/2) in^2

x = √(49/2) in

x = 7√2 / 2 in = 3.5 √2 in

5) Solution:

height = 3.5 √2 in and base = 7√2 in

6) Verification: area = (7√2 in) (3.5√2 in) = 49 in^2

Answer: height = 3.5√2 in and base = 7√2 in.
5 0
3 years ago
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