Answer:
1/3
Step-by-step explanation:
Y (9 + 2y)
= y (9) + y (2y)
= 9y + 2y²
= 2y² + 9y
Answer:
C. 139°
Step-by-step explanation:
Given:
m<A = 62°
m<B = 77°
Required:
Find m<1
Solution:
Since ∆ABC is similar to ∆DEF, therefore:
<A ≅ <D, which means m<D = 62°
<B ≅ <E, which means m<E = 77°
<C ≅ <F
Therefore, based on exterior angle theorem:
m<1 = m<D + m<E
m<1 = 62° + 77° (substitution)
m<1 = 139°
The perimeter is about 82 yards
first, the perimeter of the rectangles is 30*2 = 60 (the 7 is not a part of the overall perimeter so we do not need to add it)
the "perimeter" (circumference) of the 2 semi circles = (22/7)*7 = 22by using the formula C = pi*d (2 semi circles of the same diamter = 1 circle)
now just add the 2 answers
22 + 60
= 82 yards
Solution:
The Preimage function is , F(x)=|x|
Consider a point (a,b) on the function, F(x)=|x|. it means
b=|a|-----(1) satisfies the function.
Now the function F(x)=|x| is vertically stretched by 5 units.It means
x=a , y= b+5
x=a, b=y-5
So, putting the value of a and b in equation (1).
y-5=|x|
y= |x| + 5 is vertical stretch of y= |x| by 5 units.