First: work out the difference (increase) between the two numbers you are comparing. Then: divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number, then this is a percentage decrease. ( copy and paste from skillsyouneed.com )
Answer:
-15a² -14a+16
Step-by-step explanation:
<h2>(2-3a)(8+5a)</h2>
2×8=16
2×5a=10a
-3a×8=-24a
-3a×5a=-15a²
16+10a-24a-15a² = -15a² -14a+16
Answer:
about 78.539 meters. smallest diameter = 50. plug that into the equation C = πd
Step-by-step explanation:
<h3>
Answer: -2</h3>
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Explanation:
We use the remainder theorem. This is the idea where if we divide P(x) over (x-k), then the remainder is P(k).
Comparing x+1 to x-k shows that k = -1
It might help to rewrite x+1 as x-(-1) to get it into the form x-k better.
Plug this k value into the function
f(x) = 2x^6 + 3x^5 - 1
f(-1) = 2(-1)^2 + 3(-1)^5 - 1
f(-1) = 2(1) + 3(-1) - 1
f(-1) = 2 - 3 - 1
f(-1) = -1 - 1
f(-1) =-2
The remainder is -2
We can confirm this through synthetic division or polynomial long division.
Answer:
18 cm^2
Step-by-step explanation:
The legs of a right triangle are the base and height of the triangle.
Since C is a right angle, AB is the hypotenuse.
AC and BC are the legs and the base and height.
sin 75 = BC/12
BC = 12 sin 75
cos 75 = AC/12
AC = 12 cos 75
area = bh/2 = (12 sin 75)(12 cos 75)/2
area = 18 cm^2
