Hey there! :)
Answer:
Right 5, down 23
Step-by-step explanation:
Beginning with the parent function f(x) = x²:
Find the translations of the graph g(x) by completing the square to rewrite the equation in vertex form:
g(x) = x² - 10x + 2
-2 = x² - 10x
-2 + 25 = (x² - 10x + 25)
23 = (x - 5)²
Rewrite:
g(x) = (x - 5)² - 23
The translations that we can see from this equation in vertex form are a horizontal translation of 5 units right and 23 units down. Therefore:
Right 5, down 23 is the correct choice.
Answer:
40
Step-by-step explanation:
Let the number of 20cent coins be 'x'
Then, 10cent coins are 'x + 12'
Total amount = $5.4 = 540 cents
20(x) + 10(x + 12) = 540
20x + 10x + 120 = 540
30x = 540 - 120
30x = 420
x = 420/30
x = 14 (14 20cent coins)
x + 12 = 26 (26 10cent coins)
Total coins = 14 + 26 = 40
Given that plane P is parallel to the planes containing the base faces of the prism; then, if the plane meets the prism between the planes containing the hexagonal bases, then P meets the prism in a hexagonal region that is congruent (with the same size) to the bases of the prism.
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using cos rule
cos 30=adjacent/hypotenuse
/2=7/y(do cross multiplication)
14
=y
14
/=y
14=y
for x
using pythagorsa theorem
H^2=P^2+B^2
14^2=X^2+(7)^2
196=X^2+147
196-147=X^2
49=X^2
=X
7=X
Independent Variable= The amount of Pens Jon sells
Dependent Variable= The amount of money Jon makes
