Mathematics, 13.01.2021 17:00 lilspike420

Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 8x + y = 6

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Answer from: jtamika31

The acute angles between the equations is 13.46 degree.

To find the acute angles between the two equation, let's write out the individual slope of each equation.

Given Data

9x - y = 48x + y = 6Equation of line

The given equations can be rearranged into equation of line.

$9x-y=4\\
y=9x-4\\
slope=m_1=9$

The second equation can also be rearranged as and solving for the slope

$8x+y=6\\
y=6-8x\\
y=-8x+6\\
slope = m_2 = -8$

Since we have the slopes of the two equation, we can now find the acute angle between them.

θ = $tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\
$

substituting the values and solving for the angle

$x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\
x = tan^-^1[17/-71]\\
x=-13.46 = 13.46^0$

The acute angle between the equations is 13.46 degree

Learn more about acute angle in equations here;

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Answer from: teddylove2643

$\approx 13^\circ$

Step-by-step explanation:

Given two lines with the equations:

$9x - y = 4\\ 8x + y = 6$

First of all, let us learn the formula for finding the angle between the two lines with given equations:

$tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}$

m_1, m_2 are the slopes of the two lines respectively.

Let us convert the given equation to point intercept form.

Point intercept form of a line is given as:

y = mx+c

$y = 9x-4\\y =-8x+6$

Comparing with slope intercept form, we get:

$m_1 = 9\\m_2 = -8$

Using the above formula:

$tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\$

Therefore, the acute angle between the two lines is $\approx 13^\circ$

Answer from: Quest

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

step-by-step explanation:

copy and paste, put it in google

Answer from: Quest

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer

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Find the acute angle between the lines. Round your answer to the nearest degree. 9x − y = 4, 8x + y...

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