Answer:
Step-by-step explanation:
12(5+2y)=4y-(6-9y)
Distribute
12*5 +12*2y = 4y - 6 +9y
60 +24y = 4y - 6 +9y
Combine like terms
60+24y =13y -6
Subtract 13 y from each side
60 +24y-13y=13y-13y -6
60+11y = -6
Subtract 60 from each side
60+11y-60 =-6 -60
11y = -66
Divide by 11
11y/11 = -66/11
y =-6
Check
12(5+2(-6))=4(-6)-(6-9(-6) )
12 (5-12) = -24 - (6+54)
12(-7) = -24 -60
-84 = -84
True so the solution is correct
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.

From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.

Therefore, the length of DB is 17 in
Answer:
cos I= 3/5
Step-by-step explanation:
Answer:
The answer to your question is: third option, it's a parabola
Step-by-step explanation:
f(x) = (x + 4)²
f(x) = x² + 4
f(x) = (x - 4)² I think this is the right answer, because when get the vertex, the signs are changed, if the -4 is negative, it means that the graph must be located in +4.
f(x) = x² - 4