Answer:
a) Only the first one is an identity.
Step-by-step explanation:
1). 8 cos O tan O csc O = 8 simplifies to:
cos O tan O csc O = 1
cos O * (sin O / cos O) * (1 /sin O)
= cos O sin O / cos O sin O
= 1
So it is identity.
2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O
= 13 sec^2 O - tan^2 O / cos^2 O
Now sec^2 O = 1 + tan^2 O, so we have:
(13( 1 + tan^2 O) - tan^2 O) / cos^2 O
= (12 tan^2 O + 13) / cos^2 O
This is not always = 2 so its not an identity.
Answer:
Step-by-step explanation:
You have to start out with the distributive property 5 times 2 times c is 10+5c; now you have to subtract 5c on both sides in the upside down T chart, now its 10=45+c and your answer will be c=4.5.
We can focus on each part separately, first the numbers:
-3 times (5 squared)
-3 times 25
= -75
This rules out the last two options
Next let’s focus on the x terms:
x^3 times (x^5 squared)
When raising a term that is already raised to a power by another power, you multiply the powers, in this case 5 times 2 = 10
x^3 times x^10
When multiplying numbers with the same base, you add the powers
=x^13
So the answer must be B but we can check the y terms just to make sure
y^2 times (y^4 squared)
y^2 times y^8
=y^10 which matches answer B
9514 1404 393
Answer:
17) x = 10√2
18) x = 4√6
Step-by-step explanation:
These problems rely on your knowledge of the side ratios of special triangles
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
17) 5 is the short side of the isosceles right triangle, so its hypotenuse is 5√2. That length is the shortest side of the 30/60/90 triangle, so its longest side is 2 times that:
x = 10√2
__
18) 8 is the longest side of the 30/60/90 triangle, so its long leg will be 8(√3)/2 = 4√3. The hypotenuse of the isosceles right triangle is √2 times that, so ...
x = (4√3)(√2)
x = 4√6
Answer:
-1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5x=6x+1
Step 2: Subtract 6x from both sides.
5x−6x=6x+1−6x
−x=1
Step 3: Divide both sides by -1.
−x
/-1=1/-1
x=-1
May I get a Brainliest?
