Answer:
A) 
B) 
C) 
Step-by-step explanation:
Given the exponential expression,
:
A)
is equivalent to
due to the Product Rule of exponents:
.
Next, apply the Power-to-Power Rule of exponents:
.
B)
is equivalent to
due to the Power-to-Power Rule of exponents:
.
.
C)
is equivalent to
due to the Product-to-Power Rule of exponents:
.
Answer:
y=65
x=50
Step-by-step explanation:
exterior angle of a triamgle is equal to sum of two interior angles
so
2y=130(as it is isosceles triangle)
y=65
we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)
therefore, x=50
Answer:
7
Step-by-step explanation:
-8 is a negative number for example if you have -8 and you wanna get it to 0 you add 8 you don't have to do that with 7 it's a "positive" number
Step-by-step explanation:
The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.
for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.
The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.
substituting 36 for x and 10 for y in eq 1;
3(36) + 10 = 108 + 10 = 118 total students for Green High School
substituting 36 for x and 10 for y in eq2;
4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school