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3 years ago

Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

The given lines are perpendicular to each other.

Further explanation:

Given lines are:

Line 1: y= -9/5x + 1/5

Line 2: y= 5/9x + 2/9

As the lines are in slope=intercept form, the co-efficient of x are their slopes

Let m1 be the slope of line 1 and m2 be the slope of line 2

Then

$m_1=-\frac{9}{5}\\m_2=\frac{5}{9}\\m_1.m_2=-\frac{9}{5}*\frac{5}{9}\\m_1.m_2=-1$

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.

The given lines are perpendicular to each other.

Keywords: Slope, slope-intercept form

Learn more about equation of lines at:

#LearnwithBrainly

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A population increases 3% each year. If the city is now 5 million, what will the population be in 5 years?

Step2247 [10]

5 million x 3% = 150,000
1 Year = 5,150,000

5.15 million x 3% = 154,500
2 Years = 5,304,500

5,304,500 x 3% = 159,135
3 Years = 5,463,635

5,463,635 x 3% = 163,909.05
4 Years = 5,627,544.05

5,627,544.05 x 3% = 168,826.322
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After 5 years, the population will be 5,796,370.37

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4 years ago

What is the arc length of an arc with radius 15 inches and central angle 30 degrees

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Answer:

7.855 inches

Step-by-step explanation:

The formula to find the length of an arc is :

Arc Length = $\frac{\theta}{360}$ × 2 π r

Here,

Θ ⇒ size of the angle ⇒ 30°

r ⇒ radius ⇒ 15 inches

<u>Let us solve it now.</u>

Arc length = $\frac{\theta}{360}$ × 2 π r

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Arc length = $\frac{30*2*\pi*15}{360}$

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2 years ago

Evan said that the difference between two negative numbers must be negative. Was he right? Use examples to illustrate your answe

vladimir1956 [14]

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3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin4t,sin7t,9t⟩,r(0)=⟨9,8,3⟩

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With $\mathbf r(0)=\langle9,8,3\rangle$ , we have

$\langle9,8,3\rangle=\left\langle-\dfrac14+C_1,-\dfrac17+C_2,C_3\right\rangle$
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