For #4, for any right triangle a^2 + b^2 should equal c^2. Square roots are just numbers to a power of 1/2. You can multiply the exponents together of #^(2 * 1/2) and simply get #. With that in mind, we can use sqrt2 as our a, sqrt3 as b, and sqrt5 as c, since c is always the largest number. For A, sqrt2 squared is 2, for B, sqrt3 squared is 3, and c is 5. Since 2+3 does indeed equal 5 you have a right triangle.
For #5, dilating by 3 means our length will be three times as long as whatever it is there. To find out how long the line is, we can make a right triangle. The differences between the x values are 6, and the differences between the y values are 12. A^2 + b^2 = c^2, 144 + 36 = 180, c= sqrt180, which is approx. 13.416. Multiply that by 3 and you get ≈40.25 as K’L’.
Yes
remember that an odd power of a negative is negative
(-1)(-1)(-1)=(-1) tiat is negative
alsoo remember that ∛(ab)=(∛a)(∛b)
so
∛(-64)=(∛-1)(∛64)=(-1)(4)=-4
Answer: C is the answer bc it is asking what is more grader
Step-by-step explanation:
The factored form of the equation is (x + 4)(x – 6) = 0.
2 parts.....ratio is 5:3...added = 8.....so one of the parts is 5/8 of the total...5/8x....and the other part is 3/8 of the total...3/8x
the difference is 6...
5/8x - 3/8x = 6
2/8x = 6
x = 6 * 8/2
x = 48/2
x = 24
so the total length is 24
with the longest being : 5/8(24) = 15 <==
and the shortest being : 3/8(24) = 9
