the formula for volume of sphere is 4/3||r^3
diameter=2radius
in the formula we need to have radius but we have been given diameter so we convert diameter to radius
d=2r
r=d/2
9.5÷2
4.75
Answer:
y=2x-5
Step-by-step explanation:
First simplify: y-1=2x-6
y-1=2(x-3)
First simplify and distribute everything.
<u>y-1=2x-6</u>
So, x equals 2 because it got distributed into the numbers inside the parenthesis. Same with the 2 and -3. They multiplied to become -6.
Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.
<u>y - 1 (+ 1) = 2x -6 (+ 1)</u>
-1(+1)=0 which leaves just the variable y on the <em><u>left side</u></em>.
-6(+1)=-5 which leaves 2x-5 on the <em><u>right side</u></em>.
This results in y=2x-5. Hope this helped ;)
Our discriminant is 0 so,
has one real root.
Option C is correct.
Step-by-step explanation:
we need to find the discriminant and the number of real roots for the following equation:

The discriminant is found by using square root part of quadratic formula:

where b =12, a=4 and c=9
Putting values:

To find out the number of real roots using discriminant we have following rules:
- if discriminant b^2-4ac >0 then 2 real roots
- if discriminant b^2-4ac =0 then 1 real root
- if discriminant b^2-4ac <0 then no real roots
Since our discriminant b^2-4ac is 0 so,
has one real root.
Option C is correct.
Keywords: discriminant
Learn more about discriminant at:
#learnwithBrainly
I am pretty sure it is $400. sorry if i’m wrong
Answer:
Step-by-step explanation:
amplitude of y=a sin x
amplitude=a
Here y=-4sin 2x
amplitude=-4