Answer:
Step-by-step explanation:
We can use exponent rules to try and simplify this expression down.
Exponent rules tell us that 
.
This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.
So our simplified expression is 
.
Hope this helped!
Factor by grouping.
0 = (x^3 +4x^2) +(9x +36) = x^2(x+4) +9(x+4) = (x^2+9)(x+4)
The first factor is the difference of squares (in complex numbers), so the form for factoring that can be used:
a^2 - b^2 = (a -b)(a +b)
Here, a=x, b=3i.
Then the factorization in complex numbers is
0 = (x -3i)(x +3i)(x +4)
Solutions are the values of x that make these factors be zero.
x = -4, -3i, 3i
Answer:
yes
Step-by-step explanation:
Answer:
100°
Step-by-step explanation:
all four angles added together total 360°
x = 360° - 60° - 110° - 90°
x = 100°
Answer:
Step-by-step explanation:
Number of students in her class = x students
x is 2 more than a multiple of 4
This means x is an even number because multiples of 4 are even and adding 2 does not change its parity.
X is also 1 more than a multiple of 5. And we know x is and even number it has to be a multiple of 5 ending in 5, not 0. So 5 + 1 is 6.
All multiples of 4 ending in six are 16, 36, 56 ..... and so on
Since there are 15 girls and lower no of boys we need to find out which number of boys are there in 16, 36, 56.
16- 15 = 1
36 - 15 = 21
And 21 is more than 15 therefore the answer is 16 students. 15 girls and 1 boy.
