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3 years ago

find the distance from P to m. Line m contains points (1,1) and (5,1) . Point P has coordinates (2,-4)

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Check the picture below.

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What is 58 more than 11

lord [1]

The answer to this is 69

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4 years ago

Which equation can be used to find 75 percent of 200?

makvit [3.9K]

Answer:

THATS VERY CONFUSING ooops caps

Step-by-step explanation:

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3 years ago

If y = 3x^3 - 2x and dx/dt equals 3, find dy/dt when x = -2. Give only the numerical answer. For example, if dy, dt = 4, type on

Nadya [2.5K]

Answer:

$\frac{dy}{dt} = 102$

Step-by-step explanation:

step(i)

Given function y = 3 x³ - 2 x ... (i)

Differentiating equation (i) with respective to 'x'

$\frac{dy}{dx} = 3 (3 x^{2} ) - 2(1)$

Given x = -2

$(\frac{dy}{dx} ) x_{=-2} = 3 (3 (-2)^{2} ) - 2(1)$

$(\frac{dy}{dx} ) x_{=-2} = 36 -2 =34$

Step(ii):-

we know that

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Given $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

substitute values $\frac{dx}{dt} = 3 and \frac{dy}{dx} = 34$

⇒ $34 = \frac{\frac{dy}{dt} }{3 }$

cross multiplication , we get

$\frac{dy}{dt} = 34( 3 ) = 102$

Final answer:-

$\frac{dy}{dt} = 34( 3 ) = 102$

8 0

3 years ago

A 4-pack of batteries costs $5.16. At this price, what is the cost of one battery?

antiseptic1488 [7]

Answer:

$1.29

Step-by-step explanation:

5.16 divided by 4

8 0

4 years ago

If the function y = sinx is transformed to y = 3 sine (two-thirds x), how do the amplitude and period change?

icang [17]

Answer:

Amplitude increases and the period decreases

Step-by-step explanation:

Here, we are to compare amplitude change and period change

The first equation is;

y = sin x

The second is

y = 3 sine (2/3)x

Generally, the equation of a sine graph can be written as;

y = a sin (bx + c)

where a represents the amplitude and b refers to the period

In the first equation , a = 1 while in the second , a = 3 ; This shows an amplitude increase

In the first equation, b = 1 while in the second equation b = 2/3; this shows a period decrease

7 0

3 years ago

Read 2 more answers