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vitfil [10]
3 years ago
14

Write an equation in standard form for the line that has undefined slope and passes through (-6, 4)

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer:

y = ix + 6i + 4

Step-by-step explanation:

Since the line has undefined slope or indefinite slope we connote that the slope is (i)

Slope(m) of straight line = change in y ÷ change in x

Taking another  point (x,y) on the line:

i = \frac{y - 4}{x - -6}

i = \frac{y - 4}{x + 6}

Cross multiplying gives;

y - 4 = ix + 6i

y = ix + 6i + 4

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What’s the radius of the circle?
const2013 [10]

Answer:

153m

Step-by-step explanation:

perimeter of an arc = theta/360 × 2πr

P= 17πm

theta = 20°

17πm= 20/360 × 2 × π × r

153πm = πr

r = 153m

7 0
3 years ago
The production function f(x) gives the number of units of an item that a manufacturing com pany can produce from units of raw ma
makvit [3.9K]

Answer:

Step-by-step explanation:

Recall that the notion of the derivative of a function is the rate of change of it. So it kind of tells us how much the value of functioin changes as the independt variable increases or decreases. If it is positive, this means that the function will increase as the indepent variable increases, and if it is negative, that means that the function will decrease as the indepent variable increases.

a) Since f(x) is the number of units you can make out of x units of raw material, it is natural to think that the more material you have, the more units you can make, so we expect f'(x) to be positive.

b) The company buys each unit of raw material at the price w. So the product wx represents the total cost of the raw material used to produce f(x) units. Since each produced unit is sell at the price of p, then the product pf(x) represents the total income for selling all f(x) units.Recall that the profit is the difference between the total income and the total cost of production. Hence, the profit in this case is represented by the formula pf(x)-wx.

c) Recall that a function h(x) that is differentiable attains it's maximum when it's derivative is 0 and it's second derivative is negative.

In this case, we know that the derivative of the profit function, evaluated at x* must be 0, since it is a maximum. So, using the rules of derivation, we know that the derivative of the profit function is pf'(x)-w. Hence,

pf'(x*)-w =0. From where we know that f'(x*)=w/p.

5 0
2 years ago
If you can answer any of these please do and put the question number by the answer
Lerok [7]

Answer: 55.) d

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, aft
telo118 [61]

Answer:

Time t = 2 seconds

It will reach the maximum height after 2 seconds

Completed question;

Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = -(t-2)^2+9

many seconds after being thrown will the ball reach its maximum height?

Step-by-step explanation:

The equation of the height!

h(t) = -(t-2)^2 + 9 = -(t^2 -4t +4) + 9

h(t) = -t^2 +4t -4+9

h(t) = -t^2 + 4t +5

The maximum height is at dh/dt = 0

dh/dt = -2t +4 = 0

2t = 4

t = 4/2 = 2

Time t = 2 seconds

It will reach the maximum height after 2 seconds

8 0
3 years ago
A license plate consists of 6 letters and 3 numbers.How many plates can be made;a.If repetition is allowed?b.if the 3rd letter h
Serga [27]
There are 26 letters in the english alphabet, asussuming that they are all upper case, you would multiply 26×6 to find all of the different combinations of numbers.




there are 1000 possible ways to organize the nine individual numbers (000, 001, 002,...,999)



I hope that helps, I am not really sure how you would go on from there, good luck!
6 0
2 years ago
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