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velikii [3]
3 years ago
13

RATIOS MY WORST ENEMY HELP!!! IM SO LOST

Mathematics
1 answer:
Pavel [41]3 years ago
4 0
(4,6) (6,9) (8,12)
Now for rick it is (6,8) (9,12) (12,16)
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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
A box with an open top has vertical sides, a square bottom, and a volume of 256 cubic meters. If the box has the least possible
OLEGan [10]

Step-by-step explanation:

Below is an attachment containing the solution.

4 0
3 years ago
find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1
maw [93]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))


For lines to be parallel, their slopes have to be the SAME.


The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b


y = 5/3x + 1

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3 years ago
What is an equivalent expression for this:
Veseljchak [2.6K]
25a ^4 b^4 y^10 all of them are multiplied to each other I just separated it so it didn’t look confusing
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How do you find the median on a dot plot
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On the dot plot you would find the numbers, put them in order lowest to highest and either you can take a pencil and mark them out or take your two index fingers and cross the out to see what is in the middle. If there is two numbers then you add them together and divide them then that is the median.


7 0
3 years ago
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