Answer:
y+4=-3(x+0) or y=-3x-4
Step-by-step explanation:
so you have to make it in form y=mx+b
that would be y=1/3x-2/3
for a perpendicular line, you would need to find the opposite reciprocal of the slope
3/1 or 3 would be the reciprocal, so to make it opposite would be -3
So it would be y-y1 = m(x-x2)
fill it in with the coordinates (0,-4)
y+4=-3(x-0)
to get it to slope intercept form you have to simplify, and after that you get y=-3x-4
Answer:
26
Step-by-step explanation:
Since the input is -4, x = -4. The equation then is y = -7(-4) -2
A negative times a negative is a positive, so -7 times -4 is 28.
Now the equation reads y = 28 - 2
Then obviously you just subtract the two and then you get 26.
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
Answer:
Step-by-step explanation:
hello

hope this helps
The equation would be the initial balance minus the monthly rent times the number of months equals $2000.
$4800-$400m=$2000