Answer:
Step-by-step explanation:
These problems are based on triangle ratios. You cannot use the Pythagorean theorem to solve them.
The first triangle is a 45 45 90 degree triangle (I'm talking about the angles), and so, the ratio is 1:1:
, so I have to divide the hypotenuse by to get the legs. The hypotenuse is 15
, so that divided by is 15
. X is the same length as y because of the triangle ratio, so both x and y for the first triangle are 15.
The second triangle is a 30 60 90 degree triangle, so the ratio is x:x
:2x. The short leg is 7, so 7 * 2 is the hypotenuse, which is 14. The long leg is 7 * , which is 21. So, x for the second triangle is 14, and y for the second triangle is 21.
Answer:
14. Quadrant IV
13. Quadrant II
12. Quadrant III
11. Quadrant I
15. -17
16. -1
17. 7
Step-by-step explanation:
8x+12=p so you would take away 12 from p making the equation 8x=p-12 and then divide that by 8 so the equation is x= p-12/8 ( x equals p minus 12 over 8)
Answer:
Step-by-step explanation:
For this case we need to find the following integral:
And for this case we can use the substitution 
from here we see that 
, and if we solve for x we got 
, so then we can rewrite the integral like this:
And if we distribute the exponents we have this:
Now we can do the integrals one by one:
And reordering the terms we have"
And rewriting in terms of x we got:
And that would be our final answer.
Given:
He does mistake in the order of giving preference.
We should give preference in the order, division, multiplication, addition, subtraction.
But, he gave the first preferrence to the subtraction.
72-8=64
Next, he used division
64/2=32
Next he adds 32 with 8.
So, he gets 50.
But the actual simplification is,
Simplifying we get,
Hence, the correct value of the expression is 86.
