Variables- x,y
terms- 4
coefficient-3x, 6y, 10x
constant- 5, 9
like terms- 3x , 10x
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)
Answer:
B. 3
Step-by-step explanation:
Since you are given that chord AB's length is 8 and is bisected by segment XC, that means segment BC's length is 4 and ∠XCB is a right angle. From there, we use Pythagorean Theorem to solve for length XC:
4² + b² = 5² (Or remember 3-4-5 makes a Pythagorean triple)
c = √(5²-4²)
c = 3
First simplify the expression.
1/3(1,650+0.15c)
550+0.05c
Answer is A
Hope this helps!
90 miles/4 gallons = 22.5 miles/1 gallon.
22.5 miles*18 gallons= 405 miles
the answer is 405 miles