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Ilia_Sergeevich [38]
3 years ago
5

How to find the slope of a parabola at a given point?

Mathematics
1 answer:
lara [203]3 years ago
7 0
1. Find the equation.
2. Get two points. 
3. Take the derivative of the parabola. 
4. Use slope formula and set the slope of each tangent line to the point. 
5.Equal the slope to (x,x^2)
6. Solve for x
8.Take the x-coordinates of tangency and plug each of the coordinates into y=x^2
9. Find the y-coordinates. 
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Angle AOC has what measurement according to the protractor? A. 150° B. 50° C. 30° D. 130°
maxonik [38]

Answer:

∠AOC  = 50°

B is correct.

Step-by-step explanation:

In the given figure of protractor measure the ∠AOC

Please find the attachment of protractor.

OA is horizontal line which is base of protractor.

In angle AOC, two legs OA and OC

OA is base of protractor. OC another leg.

Now we see position of leg OC of angle AOC.

∠AOC  is acute angle. So, see the number bottom of protractor.

Hence, the measure of ∠AOC  is 50°

7 0
3 years ago
Read 2 more answers
A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s
Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.          

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.0793.

P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793  

= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793  

=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207  

Calculation the value from standard normal z table, we have,  

P(z \leq 1.410) = 0.9207

\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51  

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0
3 years ago
1/27^-x=81^2x+2 find x​
Umnica [9.8K]

Answer:

Step-by-step explanation:

81

=

3

4

and

27

=

3

3

, so this equation can also be written as

3

4

x

=

3

3

(

x

+

2

)

=

3

3

x

+

6

.

Since the bases are now the same, we can equate exponents to get

4

x

=

3

x

+

6

so that

x

=

6

(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).

(do u understand?)

7 0
3 years ago
Can someone please answer me this question ASAP!!!!
natulia [17]

3/6 because absolute value of any number has to be positive and you have to subtract the 2 answers to find the distance

4 0
3 years ago
If a population grows by 69%, what is the multiplier?
Alexeev081 [22]
The percentage duhhhh
7 0
3 years ago
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