Is this right? isn't the Directly proportional equation this. x=(1/k)y

Answers

Answer 1
Answer: It's y=kx. But 'k' is any constant. So my 'k' can easily be 1/(your k). The key is that when 'x' or 'y' increases by some factor, the other one also increases, by some constant multiple of the same factor. If so, then they're proportional.

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Choose values for a and b and use them to verify the product shown.(5a + b)(a – 6b) = 5a2 – 29ab – 6b2
One endpoint of a line segment is at (6, 5). The line is bisected by placing the midpoint of the line segment at (1, 2). What are the coordinates of the other endpoint?
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Graph the line : y= -2/3x+4

Answers

y=-(2)/(3)x+4\n\nfor\ x=0\to y=-(2)/(3)\cdot0+4=4\to A(0;\ 4)\n\nfor\ x=6\to y=-(2)/(\not3_1)\cdot\not6^2+4=-4+4=0\to B(6;\ 0)
x=0 => y =4 => A(0, 4)∈ Gf;
x = 1 => y = 10/3 => B(1, 10/3)∈ Gf;
Graph tle line AB.

Two lines, C and D, are represented by the equations given below:Line C: y = x + 14
Line D: y = 3x + 2

Which of the following shows the solution to the system of equations and explains why? (5 points)


(6, 20), because both lines pass through this point
(6, 20), because the point does not lie on any axis
(3, 11), because one of the lines passes through this point
(3, 11), because the point lies between the two axes

Answers

Given:
line C: y = x + 14
line D: y = 3x + 2

(6,20) or (3,11)

line C: y = 6 + 14 = 20  or y = 3 + 14 = 17
line D: y = 3(6) + 2 = 18 + 2 = 20   or  y = 3(3) + 2 = 9 + 2 = 11

(6,20), because both lines pass through this point.

There are 81 members in the marching band. The director wants to arrange the band members in rows and columns so that there are an equal number of people in each row and column. How many rows and columns would there be? ________ rows ________ columns

Answers

9 rows and 9 columns
81 is a perfect square root

√(81) = +/- 9
we take away the negative value

simply 9 rows and 9 columns.

M is between L and N. LM= 7x -1 MN = 2x 4, and LN =12. Find the value of x an determine if M is a bisector

Answers

The value of x for the given line segment LN is 1.

What is a line segment?

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given,

Line segment LN

LN = 12

Line segment LN has two parts LM and MN

LM = 7x

MN = 2x +4

So,

LN = LM + MN

12 = 7x + 2x +4

9x +4 = 12

9x = 9

x = 1

Hence, The value of x for the given line segment LN is 1.

For more about line segment,

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If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?75°

45°

36°

30°

Answers

Central angle of a 12-sided regular polygon:
360° : 12 = 30°
Answer: D ) 30°

the answer is

d=30 degrees


What is the value of cos(x/2) if tan x=1/2 and x is in quadrant III

Answers

The value of cos(x/2) is required.

The required value is \cos(x/2)=-\sqrt{(5-2√(5))/(10)}

Trigonometry

The given value is

\tan x=(1)/(2) where x is in quadrant III.

From trigonometricidentities we have

\sec^2x=1+\tan^2x\n\Rightarrow \sec^2x=1+((1)/(2))^2\n\Rightarrow \sec^2x=(5)/(4)\n\Rightarrow \cos^(2)x=(4)/(5)\n\Rightarrow \cos x=(2)/(√(5))

If x lies in quadrant III then x/2 lies in quadrant II.

Cos is negative in quadrantIII so,

\cos x=-(2)/(√(5))=-(2√(5))/(5)

\cos (x)/(2)=\pm \sqrt{(1+\cos x)/(2)}\n =\pm\sqrt{(1-(2√(5))/(5))/(2)}\n =\pm\sqrt{(5-2√(5))/(10)}

Since, x/2 lies in the secondquadrant and cos (x/2) is negative.

The required value is -\sqrt{(5-2√(5))/(10)}

Learn more about trigonometry:

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Answer:

Step-by-step explanation: