Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:
6
Step-by-step explanation:
The small triangle has a height of h and a base of 4
The large triangle has a height of 3 and a base of (2+4) = 6
The ratios is
3 h
---- = -------
6 4
The question mark is 6
Answer:
8x+13
Step-by-step explanation:
You distribute the 3 into the parenthesis to get 6x+3, and you do the same for the 2 to get 2x+10. Now you have the expression 6x+3+2x+10, and once you simplify you get 8x+13
We have that
<span>the function of the line is
3x-3y=9
clear y
3x-9=3y
y=(3x-9)/3
y=x-3
for x=2
y=x-3----->y=2-3------> y=-1
the point is (2,-1)
the answer is
the y coordinate is -1</span>
Answer:
$15
Step-by-step explanation:
18/12 = 1.50 per donut
10 x 1.5 = 15
