Hello there!
To find this, we must simplify this equation.
first, let's simplify the right side
-1 * x = -x
-1 * 5 = -5
Now, we have: y -3 = -x -5
Now we must add + 3 to each side to get rif of the negative three
now we have y = -x - 2
So, your answer is B.) y= -1x - 2
I hope my answer was of assistance!
~ Fire
The answer is in the image. We need 3.625 gallons to fill the tank.
Answer:
D) cot(C) = 1/2.
Step-by-step explanation:
We can go through each choice and examine is validity.
Choice A)
We have:

Recall that secant is the ratio of the hypotenuse to the adjacent.
With respect to B, the adjacent is 6 and the hypotenuse is 7.
Therefore, sec(B) should be 7/6 instead.
A is incorrect.
Choice B)
We have:

Cotangent is the ratio of the adjacent side to the opposite.
With respect to B, the adjacent side is 6 and the opposite side is 3.
Therefore, cot(B) = 6/3 = 2.
B is incorrect.
Choice C)
C is incorrect for the reasons listed in A.
Choice D)
We have:

Again, cotangent is the ratio of the adjacent side to the opposite.
With respect to C, the adjacent side is 3 and the opposite side is 6.
So, cot(C) = 3/6 = 1/2.
Therefore, D is the correct choice!
Answer:
3.74 x 10^5
Step-by-step explanation:
First expand the term in scientific notation into normal notation.
3.3 x 10^5 - Here the ^5 tells us to move the decimal five places to the right, so we go from
3.30000 to
330000.00
So 3.3 x 10^5 = 330,000
Now add that to 44,000 and you get 374,000.
Return this number to scientific notation. Move the decimal back to its spot before the 3. We go from
374,000.00 to
3.74000
Once again the decimal has moved five places, so that is the number in the exponent of the our scientific notation, and therefore our answer is
3.74 x 10^5