a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
Answer:
25 miles
Step-by-step explanation:
Given: A boat sail 20 miles west of the port and then 15 miles south to an island.
Picture attached.
The distance from port to island could be measured in a straight line. It will form a hypotenous.
∴ we can use Pythogorean theorem to find the distance.
Where, "a" is adjacent= 20 miles and "b" is opposite= 15 miles.
⇒ 
⇒
⇒
We know 
.
∴
∴ Distance of Port from the Island is 25 miles.
632.16 inches per hour is the answer. Find the conversion rate of feet to inches, which is just 1 foot = 12 inches. Then, multiply 52.68 by 12 to get the answer.
Hope this helped.
1) let both have x ,
so putting in eqn ;
4x+0.50 = 9x-3
5x=2.50
x=0.50
therefore both have 50 p in the beginning !!
2) let the number be x
so in eqn;
(x+18)/2=5x
x+18=10x
9x=18
x=2
so the number must be 2 !!
if you have still any problem, comment !!
