The correct factorization of this equation is (2y - 8)(x + 4).
In order to factor polynomials with 4 terms like this, you can often use a strategy called grouping. To do that, split into two different binomials.
(2xy + 8y) and (-8x - 32)
Now you can factor out the greatest common factor of each parenthesis.
2y(x + 4) and -8(x + 4)
Now in grouping, if after factoring out the greatest common factor, you can put the two things you pulled out in one parenthesis. You can multiply that by one of the matching set for the final answer.
(2y - 8)(x + 4)
Answer:
x=-0.6
Step-by-step explanation:
Answer:
First answer: The sum of the two angles equals 70 degrees.
Second answer: The complimentary angle is 45.6, and the supplementary angle is 135.6.
I hope this helps! :)
Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
1,3,5,7,11
Step-by-step explanation:
a prime numb er or integer is a number that can not be multiplied to get to other than x1 so for example the only thing you can do for 3 is 3x1 not anything else especially because you said integer
