Answer:
The answer is A
Step-by-step explanation:
The reason A is correct is because all of the other transformations change the size of the triangle, and A is the only answer that only reflects the image over the y axis without changing it, thus making it similar to the preimage
The easiest method of multiplying polynomials, in my experience, is the FOIL method. Honestly, I couldn't tell you what the letters stand for anymore, but I definitely remember how to do it. It's just distribution.
(6x+1)(5x+8)
Multiply the 6x by 5x and 8, then the 1 by 5x and 8:
30x²+48x+5x+8
Then combine like terms:
30x²+53x+8
There are 13 total hearts in the deck, which leaves 39 non-hearts. You're drawing a hand of five cards, so the probability of getting exactly 3 hearts is

as required.
There are two circles with center A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A
sin A=26/27.51
A=70.93°
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
AD=26
The answer is 26.
Answer:
(6.3*10³) ÷ (1.8*10⁵)
6.3*10³ = 0.063*10⁵
then:
(6,3*10³) ÷ (1.8*10⁵) = (0.063*10⁵) ÷ (1.8*10⁵)
= 0.063/1.8
= 0.035
0.035 = 3.5 *10⁻² = 35*10⁻³