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3 years ago

Find RA, 90: (2,5) given that point A is located at (-3, -3).

Mathematics

1 answer:

Anna71 [15]3 years ago

4 0

Answer:

The value of RA is " 9.43".

Step-by-step explanation:

In the given question there is some typing mistake so, the points are:

R =(2, 5)

A= (-3, -3)

Find:

RA= ? where it is a distance (D).

Formula:

$D= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2} \\\\\ compare \ the \ value \\\\x_1 = 2\\y_1=5\\x_2=-3\\y_2= -3$

put the value in the formula:

$\Rightarrow D =\sqrt{(-3-2)^2+(-3-5)^2} \\\\\Rightarrow D =\sqrt{(-5)^2+(-8)^2} \\\\\Rightarrow D =\sqrt{25+64} \\\\\Rightarrow D =\sqrt{89} \\\\\Rightarrow D = 9.43\\$

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Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Funct

expeople1 [14]

Answer:

Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of

Step-by-step explanation:

Function A:

$\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}$

Function B:

$y = -4.5x + 15$

Required

Which has a greater rate of change

The rate of change of function A is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (1.5,5)$

$(x_2,y_2) = (2.5,0)$

So, we have:

$m = \frac{0-5}{2.5 - 1.5}$

$m = \frac{-5}{1}$

$m = -5$

For function B

The general function is:

$y = mx + b$

Where

m is the rate of change

By comparing $y = mx + b$ to $y = -4.5x + 15$

$m = -4.5$

So, we have that:

Function A has a rate of -5; function B has a rate of -4.5.

By comparison: -4.5 is greater than 5

Hence, function B has a greater rate.

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