Step-by-step explanation:
just think - what does it mean to translate (shift) a graph upward by 5 units ?
does the graph change in its content ? no. all the functional result value (= y values or coordinates) are still calculated as before, BUT before marking them on the chart the y values are moved up by 5 units. that means they are increased by 5 (that is the only way to move something "up" on a coordinate grid).
so, in other words, f(x) is nothing else but h(x), but it increases the results of h(x) consistently by 5.
h(x) = 2x² + 4
f(x) = h(x) + 5 = 2x² + 4 + 5 = 2x² + 9
Formula: A = Pi times radius squared
5^2 x 3.14 = 78.5
78.5 ÷ 2 (cuz it's a half circle) = 39.25inches
Answer: 39.25in
The vertex would be at (-2,7)
Answer:
Sales amount = $ 300.08
Step-by-step explanation:
Sale amount = selling price + sales tax
Here selling price = $300
sales tax = 8 %
sale amount = 300 + 8%
= 300 + 
=( 300 ×100 + 8 )÷100
= (30000 + 8 ) ÷ 100
= 30008 ÷ 100
=$ 300.08
Sales amount = $ 300.08
Answer:
16
Step-by-step explanation:
The perpendicular diameter to the chord divides it into two congruent parts.
Since
we have that XT=TS.
Hence,
3b-1=b+5,
3b-b=5+1,
2b=6,
b=3.
So,
XT=3·3-1=9-1=8
TS=3+5=8
and
XS=XT+TS=8+8=16.
