Step-by-step explanation:
The product 1/8 times 8 to the square root
Answer:
The equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given
The y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The point (0, 4) indicates that:
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = 6 in the slope-intercept form of the line equation


Thus, the equation of the line with slope 6 and containing the point (0, 4) will be:

The graph of the line y = 6x+4 is attached below.
The first one is 810
The second is -120
Answer:
6.68, 13.37, 14.95
Step-by-step explanation:
One of the legs is twice as long as the other.
b = 2a
The perimeter is 35.
35 = a + b + c
The triangle is a right triangle.
c² = a² + b²
Three equations, three variables. Start by plugging the first equation into the second and solving for c.
35 = a + 2a + c
c = 35 − 3a
Now plug this and the first equation into the Pythagorean theorem:
(35 − 3a)² = a² + (2a)²
1225 − 210a + 9a² = a² + 4a²
1225 − 210a + 4a² = 0
Solve with quadratic formula:
a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)
a = (210 ± √24500) / 8
a ≈ 6.68 or 45.82
Since the perimeter is 35, a = 6.68. Therefore, the other sides are:
b ≈ 13.37
c ≈ 14.95
Answer:
B
Step-by-step explanation:

subtract 6 from both sides

divide by 2/3(or multiply by 3/2)

and thats your answer