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What is the value of k when the line y kx plus 1 is a tangent to the curve y2 equals 8x?
If you mean: y = kx +1 and y^2 = 8x So if: y = kx +1 then y^2 = k^2*x^2 +2kx +1 If: y^2 = 8x then k^2*x^2 +2kx +1 = 8x Transposing terms: k^2*x^2 +2kx +1 -8x = 0 Using the discriminant: (2k -8)^2 -4*(k^2*1) = 0 Solving the discriminant: k = 2
What is 2 divided by 8x as a fraction in the simplest form?
0.25
What is the answer 8x - 1 equals 11?
8x - 1 = 11 8x = 12 x = 12 / 8 or x = 3 / 2.
What is -8x 16?
if its -8x+16=0 x=2 if its -8x-16=0 x=-2 if its -8x=16 x=-2
Factor completely 8x squared plus 6x minus 5?
8x^2 + 6x - 5 = 8x^2 + 10x - 4x - 5 = 2x * (4x + 5) - (4x + 5) = (2x -1) * (4x + 5)
What is the value of k when the line y kx plus 1 is a tangent to the curve y2 equals 8x?
If you mean: y = kx +1 and y^2 = 8x So if: y = kx +1 then y^2 = k^2*x^2 +2kx +1 If: y^2 = 8x then k^2*x^2 +2kx +1 = 8x Transposing terms: k^2*x^2 +2kx +1 -8x = 0 Using the discriminant: (2k -8)^2 -4*(k^2*1) = 0 Solving the discriminant: k = 2
A triangle has an area of 36 square feet a base of 8x feet and a height of 4 feet what is the value of x?
Area_triangle = base x height x 1/2 ⇒ 36 = (8x) x 4 x 1/2 ⇒ 8x = 18 ⇒ x = 21/4 (= 2.25)
What is 2 divided by 8x as a fraction in the simplest form?
0.25
What is the answer 8x - 1 equals 11?
8x - 1 = 11 8x = 12 x = 12 / 8 or x = 3 / 2.
8x-1 equals -4x plus 23?
8x-1 = -4x+23 8x+4x = 23+1 12x = 24 x = 2
-8x plus 7 equals -7x-2?
-8x+7 = -7x-2 -8x = -7x-2-7 -8x=-7x-9 -8x+7x=-9 -1x=-9 x=-9/-1 x=9
What is the value of k when the line of y equals kx plus 1 is a tangent to the curve of y squared equals 8x?
If y = kx+1 is a tangent to the curve of y^2 = 8x Then it works out that k has a value of 2 and that x has equal roots of 1/2 -------------------------------------- y = kx + 1 and y² = 8x meet when they are equal, ie (substituting for y): (kx + 1)² = 8x → k²x² + 2kx + 1 = 8x → k²x² +(2k - 8)x + 1 = 0 If y = kx + 1 is tangent to y² = 8x, they meet at one point; this occurs when the above quadratic has a repeated root; which happens when the discriminant b² - 4ac = 0, namely: (2k - 8)² - 4 × k² × 1 = 0 → 4k² - 32k + 64 - 4k² = 0 → 32k = 64 → k = ½
8x-6 equals 5x find the value of x?
2
What is the value of x in the equation 8x plus -2 equals 10?
3/2
What is x 5x plus 1 plus x-2 equals 8x plus 6?
5x+1+x-2 = 8x+6 5x+x-8x = 6+2-1 -2x = 7 x = -3.5
Which expressions are equivalent to the one below Check all that apply. 8x?
Expressions equivalent to (8x) include any expression that can be simplified or factored to result in (8x). Examples include (2(4x)), (16(x/2)), and (4(2x)). Any expression that maintains the same value as (8x) when simplified is also considered equivalent, such as ((8/1)x).
What is the answer to 8(x plus 1)3-2(8x plus 4)?
It is 8x + 16
