I think your talking about quadratics, so
They didn’t specify which way the parabola was translated, right or left, up or down?
Since there wasn’t specification of direction, I will use positive (to the right) and up (upwards)
a = 1/2
h = +5
k = +5
y = a(x-h)^2+k
y = 1/2 (x - 5)^2 + 5
Now if your writing it in standard form (above was vertex form) you’d just expand it
y = 1/2 (x-5)(x-5) + 5
y = 1/2 [(x^2) -5x -5x ] + 25 + 5
y = 1/2 x^2 - 5x + 30
Answer:
1. Slope: -3/4
2. Point-slope: y+4=-3/4(x+4)
3. Slope-intercept: y=-3/4x-7
4. Standard form: 3x+4y=-28
Step-by-step explanation:
1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.
Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.
2--4/-4-4
2+4/-8 = 6/-8, or 3/-4
2. Use the slope and one of the x and y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).
y+4=-3/4(x+4)
3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.
When you distribute, the equation becomes:
y+4=-3/4x-3
Finally, when you subtract 4, the equation becomes:
y=-3/4x-7
4. Standard form is written as x+y= #.
To convert y=mx+b to standard form, first subtract -3/4x from both sides.
-3/4x + y = -7
Multiply everything by 4
3x + 4y = -28
$520. for the table just make 2 columns. one side is 1-52 for each week of the year and the other side will be the total amount for that week. ex: week 1=$10, and week 2=$20, etc.it should be self explanatory by that point.
Divide the shape into 2 different rectangles:
25 x 11 = 275
42 x 14 = 588
Total area = 275 + 588 = 863 square yards.
We know that
volume of the box=length*width*height
V=L*W*H----> H=V/[L*W]
V=576 in³
L=12 in
W=8 in
so
H=576/[12*8]----> H=6 in
the answer is
the height of the box is 6 in
