Answer:
B = 6(4 + 5)
Step-by-step explanation:
GCF = The greatest common factor, example: GCF of 12 and 16 = 12 is divisible by all of these numbers. The factors for 16 are 1, 2, 4, 8, 16. The two numbers (12 and 16) share common factors (1, 2, 4). The greatest of these is 4 and that is the greatest common factor.
Distributive property = allows us to multiply the number by a group of numbers, which are added together. The distributive property is given by: a(b+c) = ab + ac
The Greatest Common Factor of 24 and 30 is 6 because it is the largest number they have together (24 = 6*4 and 30 = 6*5)
24 divided by 6 = 4
30 divided by 6 = 5
This fits B the most: 6(4 + 5)
The answer is B, I hope this helps!
Combine like terms. The 5x is grouped to the 8x and the -7 isgrouped with the -55.
This means 5x + 8x = 13x and -7 - 55 = -62
The new expression is 13x - 62. We can't find the exact value of x because the expression wasn't set equal to anything.
The triangle is a isosceles because there is two same sides and one different side
Answer:
(a) The graphic representation is in the attached figure.
(b)
.
(c)
.
Step-by-step explanation:
(a) Given a complex number
we know, from Euler's formula that
. So, it is not difficult to notice that

so it is on the unit circumference. Also, notice that the Cartesian representation of the complex number is
.
Now,
.
Notice that
has the same modulus that
, so it is on the unit circumference. Beside, its Cartesian representation is
.
So, the points
and
are symmetric with respect to the X-axis. All this can be checked in the attached figure.
(b) Notice that

Then,
.
(c) Notice that

Then,
.
Answer:
l = 231 ft (nearest ft)
Step-by-step explanation:
sin60 = 200/x
xsin60 = 200
x = 200/sin60
= 231 ft (rounded to nearest ft)