Hi there!
Lets dive into the problem, starting with the equation for volume; length x width x height.
If it's 8 x 12 inches, That means the height is 8 and the length is 12. The side, or width, would be x.
The equation should be 8 times 12 times x, or (8)(12)(x).
Okay, let me just make this a little clearer. Hopefully, this is what you meant:
A. y - 8 = -4(x + 4)
B. y - 8 = 4(x + 4)
C. y + 8 = 4(x - 4)
D. y + 8 = -4(x - 4)
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This can also be written as y2 - y1 = m(x2 - x1).
Your M is your slope.
Both A and D have their m as a negative 4. Because you are looking for a positive slope, immediately cancel those answers.
* note that you could have also put them in a more standard form and discovered m which is the x in bx.
Now, you are looking for an equation that contains (4,-8).
Because it is written as y2-y1, your y's are actually points if you were to find another slope or something. This part is a bit hard to explain, but -8 is only found in the y coordinate place in answer B. Your answer would be B. For more explanation on that, there's this great site called coolmath.com and if you search for finding the equation of two points, it explains it much better on there, but I would not want to plagiarize.
The answer is B.
Answer: 3/5
Step-by-step explanation: The fourth quadratic in the list is the square of a binomial:
25x^2 - 30x + 9 = (5x - 3)^2
Therefore, the repeated root of this quadratic is the solution to 5x - 3=0, which is 3/5
Answer:
a. 8 years
b. $49.20
Step-by-step explanation:
The computation is shown below:
a. The mark age is
Given that
232 is 8 times of the sum of mark and his sister ages
And, his sister is 21
So,
Let us assume the mark age be x
now
8(x + 21) = 232
x + 21 = 29
x = 29 -21
x = 8
b. The original price of the socks is
As each pair get $3 off
And she bought 6 pairs for $31.20
= $31.20 + 6 × $3
= $31.20 + 18
= $49.20