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masha68 [24]
2 years ago
9

An executive traveled 1,930 miles by car and plane. He drove to the airport at an

Mathematics
1 answer:
Lynna [10]2 years ago
6 0

Answer:

It took 3 hours to get to the airport

Step-by-step explanation: Can I get brainliest? Thanks!

Total distance = 1930

Car speed avg = 60 miles per hour

Plane speed avg = 350 miles per hour

Time = 8 hours

(60*3)+(350*5)=1930 (Try combinations of 3+5, 4+4, 2+6 etc)

It took 3 hours to get to the airport

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
Please determine the conjugate of 9 - 3i ?
Kazeer [188]

Step-by-step explanation:

You find the complex conjugate simply by changing the sign of the imaginary part of the complex number.

the answer is

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7 0
2 years ago
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ser-zykov [4K]
A) 25/24 because i don’t know i’m just doing this to get points
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3 years ago
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zepelin [54]
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Answer:

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Step-by-step explanation:

C = 2(pi)r

The radius is 12 cm. We can find the circumference of a circle with radius 12 cm.

C = 2(pi)r = 2(3.14)(12 cm) = 75.36 cm

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We can find the fraction this length is of the full circumference.

(12.56 cm)/(75.36 cm) = 1/6

The length of the arc of this sector is 1/6 the length of the circumference of the entire circle.

That means the angle of the sector is 1/6 the angle of an entire circle.

An entire circle has a central angle of 360 degrees.

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