True or false: In (r, theta), the value of r can be negative.

1 answer:

3 0

The answer to the mathematics question presented above is 'True'. It is correct to say that in (r theta), the value of r can be negative. A negative radius can be used when it comes to graphing a "polar'' function. Thus, the answer to the question is 'true'.

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Use the table to answer the question. X y -21-1 -1 -1 1 0 3 1 5 2 7 Which equation represents the relationship between x and y s

horsena [70]

Answer:

D. y = 2x + 3

Step-by-step explanation:

Use the table to answer the question.

x:-2 -1 0 1 2

y: -1 1 3 5 7

Which equation represents the relationship between x and y shown in the table.

Solution:

The table shows a linear relationship between x and y.

A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.

The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3$

5 0

3 years ago

Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$