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Lera25 [3.4K]
3 years ago
7

Given that the curve y=2(1-2x)³,find

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
A. gradient is also called the slope

take the derivative
use the chain and power rule

dy/dx=-12(1-2x)

at x=1
dy/dx=-12(1-2(1))
dy/dx=-12(1-2)
dy/dx=-12(-1)
dy/dx=12
the gradient is 12


b.
normal means the perpendicular line
the line perpendicular to that point has a slope that is a negative reciprocal of the slope of the line at that point
we found that the slope was 12 so the slope of the normal line would be the negative reciprocal of 12 or -1/12

use point-slope form
the equation of the line that has a slope of m and passes through (h,k) is
y-k=m(x-h)

we want the equation of the that has a slope of -1/12 and passes through (1,-2)
y-(-2)=\frac{-1}{12}(x-1)
y+2=\frac{-1}{12}(x-1)] is the equation normal to the curve at (1,-2)
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A shape is made of 12 right triangles of equal size each right triangle has a base of 4 centimeters and a height a 5-cm what is
mart [117]

Answer:

120\ cm^2

Step-by-step explanation:

The area (A_t) of a triangle is equal to half the product of its length (L) because of its height (h).

A_t = 0.5h*L

The base of the triangles is L = 4\ cm

The height of the triangles is h = 5\ cm

Then the area of one of the triangles is:

A_t = 0.5(4)(5)\\A_t = 10\ cm^2

The figure is formed by 12 equal triangles, then the area of the figure (A_f) is:

A_f = 12(A_t)\\A_f = 12(10)\\A_f = 120\ cm^2

3 0
3 years ago
Read 2 more answers
Plz help !!!!!! 30 points
Kisachek [45]

Part A. It is non linear because it can't make straight line.

Part B. In the graph▼

A is increasing,

B is Constant,

C is decreasing,

Part C. A is Increasing by the (0 to 16) because it is in upward and B is constant because it is (16 to 16) it is in same level then C is decreasing by the (16 to 0) because it is in downward.

I hope you understand....

Thanks....

Make me as brainliest....

3 0
3 years ago
Everything that has to do with this
Phantasy [73]

Answer:

x= 56

Step-by-step explanation:

the angle across from 62 is also 62 so add them together and get 124

a triangles full degree is 180

180-124

4 0
3 years ago
Find the value of x and give a reason for the relationship between the angles.
finlep [7]

Answer:

x = 20 and they are vertical angles

Step-by-step explanation:

2x = 40

x = 20

3 0
3 years ago
Show work please :: I forgot how to solve
Vesna [10]
40 pages = 80 minutes
210 pages = ? minutes
Well, take the first fact; 40 pages in 80 minutes and use it to find how many pages per minute.
40/80=1/2
1/2 pages = 1 minute
1 page = 2 minutes
210 pages = ? minutes
210*2=420
420 minutes = 7 hours
210 pages = 7 hours
Hope this helped :)
4 0
4 years ago
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