Given that the roots of the equation x^2-6x+c=0 are 3+8i and 3-8i, the value of c can be obtained as follows;
taking x=3+8i and substituting it in our equation we get:
(3+8i)^2-6(3+8i)+c=0
-55+48i-18-48i+c=0
collecting the like terms we get:
-55-18+48i-48i+c=0
-73+c=0
c=73
the answer is c=73
First, add the ratio together to get the denominator of the fraction you will use to determine the share. 3+5= 8. Now, you have two fractions: 3/8 and 5/8. Next, just find 3/8 and 5/8 of 56 to get your answers:
(56÷8)×3= <span>£21
</span>and
(56÷8)×5= <span>£35</span>
Answer:
V = 1385.44
Step-by-step explanation:
The equation for volume is V = π r 2 h! Where V = volume, r = radius <em>(half the diameter)</em>, and h = height. Now lets substitute what we know into this equation!
<em>Since we are giving the diameter (14) we must divide by 2 to find the radius.</em>
14 ÷ 2 = 7
Radius = 7
Height = 9
V = ?
Time to plug these values in!
V = π
(9)
<em>We have to distribute </em><em>pi to 7 square that term </em><em>and then </em><em>multiply the value by 9</em><em>. </em>
<em />
V = 1385.44
Hope this Helps! :)
<em>Have any questions? Ask below in the comments and I will try my best to answer.</em>
-SGO
Answer:
20.4 inches
Step-by-step explanation:
L*W*H=V
L=23.25
W=13.5
L*W=313.875
6403.05/313.875=20.4
This answer does not need to be rounded
The height of the aquarium is 20.4 inches.
Hope this helps!
Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to

substitute




step 2
Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units
substitute

