Answer:
There seems to be a typo error but still this has solution.
Let the number be = x
A positive real number is 6 less than another. Means the second will be 
The sum of the square of the two numbers is 38.
=> 
=> 
=> 
=> 
Taking out 2 common;
=> 
Solving this quadratic equation, we get;
and 
As positive number is needed, we have
or x = 
x = 0.162277
And other number is 6.162277.
Answer:
The answer is tan²Ф + 1 = sec²Ф
Step-by-step explanation:
∵ sin²Ф + cos²Ф = 1 ⇒ ÷ cos²Ф both sides
∴ sin²Ф/cos²Ф + cos²Ф/cos²Ф = 1/cos²Ф
∵ sin²Ф/cos²Ф = tan²Ф
∵ 1/cos²Ф = sec²Ф
∴ tan²Ф + 1 = sec²Ф
Answer:
y = 26
Step-by-step explanation:
The angles of a linear pair total 180°.
__
(2y +1)° +(5y -3)° = 180° . . . . the sum of the angles is 180°
7y -2 = 180 . . . . . . divide by °, collect terms
7y = 182 . . . . . . . . add 2
y = 26 . . . . . . . . . divide by 7
_____
<em>Additional comment</em>
The angle measures are (2(26) +1)° = 53°, and (5(26) -3)° = 127°. These total 180°, as they should.
Answer:
√2x+8=x-8
2x+8=x^2-16x+64
-x^2+18x-56=0
x^2-18x+56=0
x(x-4)-14(x-4)=0
(X-4)(x-14)=0
x=4(extraneous) ,x=14
—> x=14
Step-by-step explanation: