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3 years ago

How would you describe the two lines ? 4y=-5x+12 y=4/5x-8 A) parallel

Mathematics

1 answer:

Viktor [21]3 years ago

7 0

B) perpendicular
Because the slopes are opposites, they are flipped and have the opposite signs

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Help please!!!!!!!!!!!!!!!!!!

Temka [501]

I guess try A I really don’t know

6 0

3 years ago

Prove the formula for (d/dx)(cos−1(x)) by the same method as for (d/dx)(sin−1(x)). Let y = cos−1(x). Then cos(y) = and 0 ≤ y ≤ π

gtnhenbr [62]

Answer:

$\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$

Step-by-step explanation:

Given the differential (d/dx)(cos−1(x)), to find the equivalent formula we will differentiate the inverse function using chain rule as shown below;

let;

$y = cos^{-1} x \\\\taking \ cos\ of\ both\ sides\\\\cosy = cos(cos^{-1} x)\\\\cosy = x\\\\x = cosy\\\\\frac{dx}{dy} = -siny\\$

$\frac{dy}{dx} = \frac{-1}{sin y} \\\\from\ trigonometry\ identity,\ sin^{2} x+cos^{2}x = 1\\sinx = \sqrt{1-cos^{2} x}$

Therefore;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-cos^{2}y } }$

Since x = cos y from the above substitute;

$\frac{dy}{dx} = \frac{-1}{\sqrt{1-x^{2}} }$

Hence, $\frac{d(cos^{-1}x )}{dx} = \frac{-1}{\sqrt{1-x^2} }$ gives the required proof

5 0

4 years ago

Write 0.43 as a mixed number or a fraction

aliina [53]

43/100
that's the fraction form

5 0

3 years ago

Approximately how much water will fill the tank?

Valentin [98]

Answer:c

Step-by-step explanation:

c ccccccccccccc

3 0

3 years ago

Read 2 more answers

Given the preimage and image, find the dilation scale factor

dimaraw [331]

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

if u count the dots on the sides of the preimage there are 2 dots that's the length
if u count the dots on the real image it's 4
therefore 2/4 to it's lowest term is 1/2
so 1/2 is the scale factor

5 0

3 years ago

Read 2 more answers