Answer:
Step-by-step explanation:
5x = 2x + 9
3x = 9
x = 3
AB= 5(3)= 15
BC= 2(5) + 9= 10 + 9 = 19
AC= 15 + 19 = 34
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Counting principle
Multiply 11 * 9 * 3 * 7 = 2079
Answer:
Yes it is!
Step-by-step explanation:
First do 8+7 which is 15, then subtract 1 to get 14
Hi! If this helped please make this the brainliest answer, I'm on a goal to get 5 brainest answers, thanks!
<ABC + <ABC = 180
3x- 9 + 7x - 1 = 180
10x - 10 = 180
10x = 190
x = 19
<ABC = 3x- 9 = 3(19) - 9 = 48
