Given:
Since the quadratic equation is equal to 0, we need to solve for x. Let's factor. Since a ≠ 1, we can easily solve. We need to find out what factors of 10 add up to 7. I know that 5*2 = 10 and 5+2 = 7. This fits out problem perfectly. Now that we have that, we can simplify it into two binomials:
Now, if it was not equal to zero, we would be done. However, we are not done. We need to set both terms equal to 0 to solve for x.
To isolate x, subtract 2 from both sides to cancel the +2 on the left.
Let's do the other one:
Same thing, subtract 5 from both sides to isolate x.
So, in conclusion, your solutions are:
Answer:
As the model is shown below.
As per model a thing is divided into five parts.There are three things and each one of them is being divided into five equal parts.
The value of fifth part of each of them is 1/5.
If we consider each part of a thing as one,
So, total number of parts = 15
Total thing=3
So, the answer of the above model is 3÷ 15.
Out of all the options which are 15÷15 , 3÷115 , 3÷15, 15÷15 →3÷15 is correct.
sin2x =12/13
cos2x = 5/13
tan2x = 12/5
STEP - BY - STEP EXPLANATION
What to find?
• sin2x
,• cos2x
,• tan2x
Given:
tanx = 2/3 = opposite / adjacent
We need to first make a sketch of the given problem.
Let h be the hypotenuse.
We need to find sinx and cos x, but to find sinx and cosx, first determine the value of h.
Using the Pythagoras theorem;
hypotenuse² = opposite² + adjacent²
h² = 2² + 3²
h² = 4 + 9
h² =13
Take the square root of both-side of the equation.
h =√13
This implies that hypotenuse = √13
We can now proceed to find the values of ainx and cosx.
Using the trigonometric ratio;
And we know that tanx =2/3
From the trigonometric identity;
sin 2x = 2sinxcosx
Substitute the value of sinx , cosx and then simplify.
Hence, sin2x = 12/13
cos2x = cos²x - sin²x
Substitute the value of cosx, sinx and simplify.
Hence, cos2x = 5/13
tan2x = 2tanx / 1- tan²x
OR
Hence, tan2x = 12/5
Therefore,
sin2x =12/13
cos2x = 5/13
tan2x = 12/5
