Divide 63 apples into two groups so the ratio is 2 to 1
1 answer:
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Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
5/8 would be the answer..
<span><span>7/8</span>-<span>1/4</span></span><span>=<span>(7 × 4) - (1 × 8)8 × 4</span></span><span>=<span>20/ 32</span></span><span>=<span>20 ÷ 432 ÷ 4</span></span><span>=<span>5/8<span>
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<span><span>7/8</span>-<span>1/4</span></span><span>=<span>(7 × 4) - (1 × 8)8 × 4</span></span><span>=<span>20/ 32</span></span><span>=<span>20 ÷ 432 ÷ 4</span></span><span>=<span>5/8<span>
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Answer:
(- 2, 15 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = 3x² - 2x - 1 → (1)
2x + y = 11 → (2) ← subtract 2x from both sides
y = 11 - 2x → (3)
Substitute y = 3x² - 2x - 1 into (3)
3x² - 2x - 1 = 11 - 2x ( subtract 11 - 2x from both sides )
3x² - 12 = 0 ( add 12 to both sides )
3x² = 12 ( divide both sides by 3 )
x² = 4 ( take the square root of both sides )
x = ± = ± 2
Substitute these values into (3) for corresponding values of y
x = - 2 : y = 11 - 2(- 2) = 11 + 4 = 15 ⇒ (- 2, 15 )
x = 2 : y = 11 - 2(2) = 11 - 4 = 7 ⇒ (2, 7 )