Step-by-step explanation:
Question 10 :
3x + 6 = 4x – 12 ( reason: corresponding angles due to parallel lines)
simplify and get x, thus x = 18
to find 3x + 6 or 4x - 12(which is both the same),
3(18) + 6 = 60° , 4(18) - 12 = 60°
Question 11:
2x + 24 + x = 180 ( reason: interior angles due to parallel lines)
simplify again to get x, you will get x = 52
then find the individual by subbing in the value of x into the equation.
so 2x + 24 = 2(52)+24 = 128° and x = 52°
Step-by-step explanation:
Exponential function is given by general form 
Where a and b are constants.
say a=1 and b=2 then we can write function as :

or 
To graph this or any exponential function, we just need to find some points then join them by a curved line.
Like plug x=0, 1, 2,... into above function and find points:
plug x=1

Hence point is (1,2)
Find more points similarly then graph them to get the graph as shown below:
Answer:
option D :
f(-8) = -2 ; f(4) = 3
Step-by-step explanation:
f(-8) = ³√-8 = -2
f(4) = 3 (the constant function)
Answer: x =3
Step-by-step explanation:
2× 3 = 6
length= 5 inches
width= 2×3= 6 inches
2(l+w) = 2(5+6)
2(11)
2×11= 22
hope this helps:-)
Answer:
15, 6 and - 3
Step-by-step explanation:
Given x - y = 3 , then
(a)
5(x - y) = 5(3) = 15
(b)
2x - 2y ← factor out 2 from each term
= 2(x - y) = 2(3) = 6
(c)
y - x ← factor out - 1 from each term
= - 1(x - y) = - 1(3) = - 3