Answer:
x=-12,y=3
Step-by-step explanation:
1/2x+6y=12
y=x+15
since y=x+15
substitute y in first equation, we have
1/2x+6(x+15)=12
open the bracket
1/2x+6x+90=12
1/2x+6x=12-90
x/2+6x= -78
13x/2=-78
13x=2×-78
x=-12
Now x=-12, put x=-12 in the second equation, we have
y=x+15
y=-12+15
y=3
hope it helps
Answer: A) Acute
<u>Step-by-step explanation:</u>
Compare the sum of the squares of the two smaller numbers (a² + b²) to the square of the largest number (c²).
- If a² + b² > c², then the triangle is Acute
- If a² + b² = c², then the triangle is Right
- If a² + b² < c², then the triangle is Obtuse
65² + 72² ____ 96²
4225 + 5184 ____ 9216
9409 > 9216 <em>So, the triangle is Acute</em>.
Answer:
314
Step-by-step explanation:
Substituting <em>x</em> with <em>π</em>/2 - <em>x</em> gives the equivalent integral,

So if we let <em>J</em> denote the value of the integral, we have



Condensing the logarithms, we have
log(tan(<em>x</em>)) + log(cot(<em>x</em>)) = log(tan(<em>x</em>) cot(<em>x</em>)) = log(1) = 0
since cot(<em>x</em>) = 1/tan(<em>x</em>), which means

and so the original integral has a value of <em>J</em> = 0.
I believe you're right with what you have
the price decrease being 5% (the .95) and the increase by 15% (the 1.15)