Algebra

The formula for the volume of a solid (not a sphere) is V=Bh, or the volume (V) equals the area of the base (B, or bh) multipied by the height of the solid (h).

They'd get 2 shots on the hole, so gross 8+ = 0 points 7 = 1 points 6 = 2 points 5 = 3 points 4 = 4 points 3 = 5 points 2 = 6 points 1 = 7 points

y=24. if you use the property that states: if a=b, and b=c, then a=c. so basically if you just reword your problem it will sound just like the property. if y=6x and 6x=24, then y=24.

3x2 - 3kx + k2 > 0, k = ? (a = 3, b = -3k, c = k2)

The parabola opens upward (a > 0), so we have a minimum point at the
vertex = (- b/2a, c - b2/4a) = (- -3k/6, k2 - (-3k)2/12) = (k/2, k2/4).

Since the y-coordinate of the vertex is always a positive value, except when k = 0, then the x-coordinate could have a positive or negative value.

So that, the parabola would lie above the x-axis for all values of k, except when k is zero.

Thus, the equation 3x2 - 3kx + k2 > 0, for k ≠ 0.

Or

Complete the square:
3x2 - 3kx + k2 (divide by 3 all the terms)
= x2 - kx + k2/3
= [x2 - kx + (k/2)2]+ k2/3 - (k/2)2
= (x - k/2)2 + k2/3 - k2/4
= (x - k/2)2 + k2/12

So the equation (x - k/2)2 + k2/12 represents the translation of x2, k/2 units right when k > 0, or k/2 units left when k < 0, and k2/12 units up.

Thus, for k ≠ 0 the given equation is always positive.

phoenix volcano custom

6 - 6 + 6 - 6 + 6 - (6 / 6) = 5

r+d/t

Let's see. Looks like easy substitution here.

X - 2Y = 6

3X - 6Y = 18

express one variable in term of another with top equation

X - 2Y = 6

X = 2Y + 6

insert into bottom equation

3(2Y + 6) - 6Y = 18

6Y + 18 - 6Y = 18

---------------------------------admits of no solution here, try elimination

- 3(X - 2Y = 6)

3X - 6Y = 18

- 3X + 6Y = - 18

3X - 6Y = 18

This system either admits of no solution, or an infinite number of solutions, but my systems work is rusty, so I do not remember the terms

r=rate , t=time, d=distance

you use these in the formula rt=d for word problems

24x15=360

Contact Remington Customer Service thru their website.

If: 6y-3x = 18

Then: y = 0.5x+3 which is in slope-intercept form

12m + 2n - 3m + 11n = 9m + 13n

k can be 2 or -2.

A binomial squared is: (a + b)² = a² + 2ab + b²

Given x² - 5kx + 25 = (a + b)² = a² + 2ab + b² we find:

a² = x² → a = ±x

2ab = -5kx

b² = 25 → b = ±5

If we let a = x, then:

2ab = 2xb = -5kx

→ 2 × ±5 = -5k

→ k = ±2

If k = 2 then the binomial is (x - 5)²

If k = -2 then the binomial is (x + 5)²

To be complete if a = -x, then:

If k = 2 then the binomial is (-x + 5)²

If k = -2 then the binomial is (-x - 5)²

which are the negatives of the binomials being squared.

It is k*3x where k is an integer such that 10/(3x) < k < y/(3x)

If: y = 2x+k then y^2 = 4x^2 +4kx +k^2 by squaring both sides

If: x^2 +y^2 = 4 then x^2 +4x^2 +4kx +(k^2 -4) = 0

So: 5x^2 +4kx +(k^2 -4) = 0

Using the discriminant: (4k)^2 -4*5*(k^2 -4) = 0

Solving the discriminant: k = -square root of 20 or +square root of 20

4x-9=k

4x=k+9

Divide by 4 to isolate the x

x=(1/4)k+(9/4)

x=1/4 k+ 9/4

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