Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
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A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Check the picture below.
notice, the focus point is at 4,5 whilst the directrix line is at y = -3, below the focus point, meaning the parabola is vertical and opening upwards.
keeping in mind that the vertex is "p" distance from either of these fellows, then the vertex is half-way between both of them, notice in the picture, the distance from y = 5 to y = -3 is 8 units, half that is 4 units, thus the vertex 4 units from the focus or 4 units from the directrix, that puts it at (4,1), whilst "p" is 4, since the parabola is opening upwards, is a positive 4 then.

It would be 544,000
hope this helps you
When the max number is N the sum is = N*(N+1)
the answer is 35*36
You need to make a draw of the problem to understand what to do.
The height of the pyramid, and half the original base side length make a rectangle triangle, whose hypothenuse is the height of the lateral area of one of the pyramids faces, so we have. So we use Pythagoras:
hyp^2 = 11^2 + 14^2 = 317
hyp = 17.8 m
that is the height of the lateral area triangle
Now to find the area of the lateral area triangle, we have:
a = base*height/2 = 22*17.8/2
a = 195.8 m^2
that is the lateral area of the pyramid, 196 m^2