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djverab [1.8K]
4 years ago
11

See attached file. show all work.

Mathematics
1 answer:
andrew11 [14]4 years ago
3 0

The point-slope form of the equation for a line can be written as

... y = m(x -h) +k . . . . . . . for a line with slope m through point (h, k)

Your function gives

... f'(h) = m

... f(h) = k

a) The tangent line is then

... y = 5(x -2) +3

b) The normal line will have a slope that is the negative reciprocal of that of the tangent line.

... y = (-1/5)(x -2) +3

_____

You asked for "an equation." That's what is provided above. Each can be rearranged to whatever form you like.

In standard form, the tangent line's equation is 5x -y = 7. The normal line's equation is x +5y = 17.

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What is m∠C?<br> Enter your answer in the box.
Tems11 [23]

Answer:

1)x + 2x + 3x = 180 \\ 6x = 180 \\ x = 30 \\ 2)30 \times 2 = 60 \: degrees -  < c

Good luck!

Intelligent Muslim,

From Uzbekistan.

5 0
3 years ago
The ratio of quarters to dimes in a coin collection is 5:3. You add the same number of new quarters as dimes
Anon25 [30]

The ratio of quarters to dimes is not still 5 : 3

<u>Solution:</u>

Given that ratio of quarters to dimes in a coin collection is 5:3 .

You add same number of new quarters as dimes to the collection .  

Need to check if ratio of quarters to dimes is still 5 : 3

As ratio of dimes and quarters is 5 : 3

lets assume initially number of quarters = 5x and number of dimes = 3x.

Now add same number of new quarters as dimes to the collection

Let add "x" number of quarters and "x" number of dimes

So After adding,

Number of quarters = initially number of quarters + added number of quarters = 5x + x = 6x

Number of dimes = initially number of dimes + added number of dimes

= 3x + x = 4x

New ratio of quarters to dimes is 6x : 4x = 3 : 2

So we have seen here ratio get change when same number of new quarters and dimes is added to the collection

Ratio get change from 5 : 3 when same number of new quarters and dimes is added to the collection and new ratio will depend on number of quarters and dimes added to collection.

3 0
4 years ago
Which of the following is the best definition of the domain
GalinKa [24]

Answer:

Step-by-step explanation:

8 0
3 years ago
Find a counter example to show that each of these statements are false
AysviL [449]

Step-by-step explanation:

let's say, 7 - 4 = 3

that contradicts the statement that both numbers are odd.

no, they are 7, 4, with 4 being even (and not odd).

in fact, as with sums and subtractions in general, it requires an odd and an even number to produce an odd result.

odd with odd always delivers an even result. as does even with even.

7 0
3 years ago
Zack flips a coin a rolls a number cube with sides labeled 1 to 6. What is the probability that he gets heads and a number great
Nitella [24]
To get heads: 1/2 because there are two sides to a coin.

There are 6 sides on a cube and 2 numbers are greater than 4 (5 and 6) so 2/6

Now multiply: 1/2 * 2/6 = 2/12 = 1/6

1/6 is the final answer.
7 0
4 years ago
Read 2 more answers
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