Answer:
1.a=2
2. C x=2 and x=-3
Step-by-step explanation:
The standard form for the quadratic function is
ax^2 +bx+c
so we need to rewrite the function to be in this form
2x^2 -10 = 7x
Subtract 7x from each side
2x^2 -7x-10 = 7x-7x
2x^2 -7x-10 = 0
a =2, b= -7 c=-10
2. The quadratic formula is
-b ± sqrt(b^2 -4ac)
----------------------------
2a
2x^2 + 2x=12
Lest get the equation in proper form
2x^2 + 2x-12 = 12-12
2x^2 +2x-12 =0
a=2 b=2 c=-12
Lets substitute what we know
-2 ± sqrt(2^2 -4(2)(-12))
----------------------------
2(2)
-2 ± sqrt(4+96)
----------------------------
2(2)
-2 ± sqrt(100)
----------------------------
4
-2 ± 10
----------------------------
4
-2 + 10 -2-10
----------- and --------------
4 4
8/4 and -12/4
2 and -3
For quarters we have:
Where,
x: number of quarters
Clearing x we have:
For nickels we have:
Where,
y: number of nickels
Clearing y we have:
Then, the ratio of quarters to nickels is:
Simplifying we have:
Answer:
The ratio of quarters to nickels in a dollar is:
The 3 goes with the square root you don’t need to multiply or anything like that. If you need to simply for example 3 square root of 20 which is when 3 is outside the square root sign. The 20 will be separated with 4*5 in the square root and then you will square root the 4 leaving the 5 in and bringing 2 out. Now you can’t just bring it out and forget about the 3 outside you need to multiply that 2 and 3 and you get 6! So you final answer is 6 square root 5. Hope this helps reply if you have a question!
Answer:18(3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The lateral area of the figure is given by
where
P is the perimeter of the base (larger faces)
h is the height
Find the perimeter of the base P
we have
substitute in the formula of lateral area
