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1 year ago

An equation of a line with a slope of -2 and a y-intercept of 2.5 is

Mathematics

1 answer:

Masja [62]1 year ago

8 0

Answer:

its D

Step-by-step explanation:

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A particle moves on the circle x2 y2=25 in the xy-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=

stiks02 [169]

The movement of the particle on the circle is its displacement.

The value of dy/dt at this time is -9/2.

<h3>What is the differentiation?</h3>

Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.

A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.

The equation of the circle is given as:

$\rm x^2 + y^2=25$

Differentiate with respect to time

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0$

Substitute all the values in the equation

$\rm 2x \times \dfrac{dx}{dt}+2y \times \dfrac{dy}{dt}=0\\\\2(3) \times 6+2(4)\times \dfrac{dy}{dt}=0\\\\ 6 \times 6+8 \times \dfrac{dy}{dt}=0\\\\ 36+8\times \dfrac{dy}{dt}=0\\\\ 8\times \dfrac{dy}{dt}=-36\\\\ \dfrac{dy}{dt}= \dfrac{-36}{8}\\\\ \dfrac{dy}{dt}= \dfrac{-9}{2}$

Hence, the value of dy/dt at this time is -9/2.

Learn more about differentiation here;

brainly.com/question/19385433

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6 0

1 year ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

coldgirl [10]

Answer: 1

$f(x) = \frac{1}{3x}$
$g(x) = \frac{1}{3x}+1$

g(x) is in the form f(x)+k where k = 1. To go from f(x) to g(x), shift the entire graph up 1 unit.

3 0

2 years ago

Someone please help me with this question ✨

Mrrafil [7]

A and D have a lower rate than 1/3.

4 0

2 years ago

Which of the following statements about Pascal's Triangle are true?

Anarel [89]

Answer:

1. It is symmetric

2. The second diagonal is the counting numbers

3. Any number in the triangle is the sum of the two numbers directly above it

Step-by-step explanation:

1. The first diagonal shows the counting numbers.

2. The sums of the rows give the powers of 2.

3. Each row gives the digits of the powers of 11

6 0

2 years ago

WILL MAKE BRAINLIEST Determine the value of x<br><br>a) 7.8<br><br>b) 4.62<br><br>c)6<br>d) 0.22

laiz [17]

Answer:

I came to the answer of 6.

6 0

2 years ago