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2 years ago

1. Find the equation of a normal to the curve y= 2² - 2x +3 at the point (3,0)

Mathematics

1 answer:

Gala2k [10]2 years ago

5 0

I think you meant to say the equation is

y = 2x² - 2x + 3

Differentiate both sides with respect to x :

dy/dx = 4x - 2

At the point (3, 0), the slope of the tangent line is dy/dx(3) = 4•3 - 2 = 10. Then the normal line to the curve at (3, 0) has slope -1/10.

Using the point-slope formula, the equation of the normal line is

y - 0 = -1/10 (x - 3) ⇒ y = (3 - x)/10

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One-Half of a number increased by 6 is less than 34

Vlada [557]

Answer: ½ x + 6 < 34 ; x < 56

Step-by-step explanation:

Subtract 6 on both sides. ½ x < 28.
Divide ½ on both sides. x < 56.

3 0

3 years ago

I’ll give brainliest

diamong [38]

Answer:

A=115.6

Step-by-step explanation:

Hey There!

So the first step is to find the formula for area of a trapezoid

$A = \frac{1}{2} h(b1 +b2)$

h = height

b1 = base 1

b2 = base 2

now all we do its plug in the values

$A=\frac{1}{2} 6.8(28.3+5.7)$

$6.8x26.3=192.44\\5.7x6.8=38.76\\38.76+192.44=231.2\\\frac{231.2}{2} =115.6\\A=115.6$

Hope this helps!!

3 0

3 years ago

2 minus twice a number

WITCHER [35]

Answer:

2 - 2n

Step-by-step explanation

We can use n for the number.

2 - 2(n)

2- 2n

6 0

3 years ago

Read 2 more answers

A certain forest covers an area of 2400 km^2. Suppose that each year this area decreases by 5.75%. What will the area be after 8

kolezko [41]

We have to use the function A(t)= a(1 +/- r)^t
So A is going to be the answer- the area after 8 years. t is going to be 8, because t is time. a is 2400 because that's the starting value. Finally, we're going to turn 5.75% into it's decimal form of .0575. That's going to be r, and because the area is decreasing, we will subtract r from 1.
Our new function is:
A=2400(1-.0575)^8
Simplify a little bit.
A=2400(.9425)^8
Bring .9425 to to power of 8 and then multiply by 2400 because PEDMAS.
A=1494.38366866
The rounded answer is 1494 kilometers squared.

5 0

3 years ago

Two people are driving to work at different constant speeds. The graph below shows the distance traveled over time by driver 1.

Luden [163]

Answer:

5 mph

Step-by-sep explanation:

To find of out the difference between the speed of the two drivers in miles per hour (not in miles per minute), first, calculate the unit rate or speed of driver 1 using the graph, and driver 2 using the table given.

Unit rate/speed = distance travelled/time = y/x.

Speed of Driver 1/unit rate:

The graph shows 1.5 miles (y) is travelled in 2 minutes (x).

Convert the 2 minutes to hour, you will have:

$\frac{2}{60} = \frac{1}{30} hr$

Speed in mph = $\frac{y}{x} = \frac{1.5}{\frac{1}{30}} = 1.5*\frac{30}{1} = 45$

Speed of Driver 1 in mph = 45 mph

Speed of Driver 2/unit rate:

The table shows 2.5 miles (y) is travelled in 3 minutes (x).

Convert the 3 minutes to hour, you will have:

$\frac{3}{60} = \frac{1}{20} hr$

Speed in mph = $\frac{y}{x} = \frac{2.5}{\frac{1}{20}} = 2.5*\frac{20}{1} = 50$

Speed of Driver 2 in mph = 50 mph

Difference between the speed of the two drivers = 50 - 45 = 5 mph

4 0

3 years ago

1. Find the equation of a normal to the curve y= 2² - 2x +3 at the point (3,0)​

1. Find the equation of a normal to the curve y= 2² - 2x +3 at the point (3,0)