Answer:
Equation of the tangent to the curve
y = 240x - 215994
Equation of the normal
y = (-1/240)x + 9.75 = - 0.00417x + 9.75
Step-by-step explanation:
y = (6 + 4x)² = 36 + 48x + 16x² = 16x² + 48x + 36
dy/dx = 32x + 48
At the point (6,900),
dy/dx = 32(6) + 48 = 240
Equation of the tangent at point (a,b) is
(y - b) = m(x - a)
a = 6, b = 900, m = 240
y - 6 = 240(x - 900)
In the y = mx + b form,
y - 6 = 240x - 216000
y = 240x - 215994
The slope of the normal line = -(1/slope of the tangent line) (since they're both perpenducular to each other)
Slope of the normal line = -1/240
Equation of normal
y - 6 = (-1/240)(x - 900)
y - 6 = (-x/240) + 3.75
y = (-1/240)x + 9.75
y = - 0.00417x + 9.75
Answer:
4 different answers
Step-by-step explanation:
1.
[(24/3) + (5*2^2)] = 28
2.
[(3 + 5) * 2^2 )]/24 = 32/24 = 4/3
3.
[(24/3 + 5)*2^2] = 52
4.
[(3 + 5*2^2)/24] = 23/24
<u>Answer:</u>
66 pictures
<u>Step-by-step explanation:</u>
180 ÷ 3 = 60 60 x 2 = 120
120 = 2/3. He took <em><u>120 pictures on the first day </u></em><em><u>of his vacation.</u></em>
120 ÷ 4 = 30 30 x 1 = 30
30 = 1/4. <em><u>He took </u></em><em><u>30 pictures of landscapes</u></em>
120 ÷ 10 = 12 12 x 3 = 36
0.3 = 36. <em><u>He took </u></em><em><u>36 pictures of people.</u></em>
36 + 30 = 66 pictures.
<em><u>He took 66 pictures of landscapes and people.</u></em>
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Hey there! I'm happy to help!
Lines that are parallel have the same slopes because they are increasing or decreasing at the same rate and therefore will never bump into each other.
We see that y=2 has a slope of 0 because there is no x that we can see in the equation. This is just a flat line.
If the line we are looking for is flat; it stays at the same y-value the entire time. We see that the y-value for this line of ours is -6. Therefore, the answer is C. y=-6.
I hope that this helps! Have a wonderful day!
