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2 years ago

Cellus

Mathematics

1 answer:

Paladinen [302]2 years ago

4 0

Answer:

9/4

Step-by-step explanation:

The quadratic function can be rearranged to look like this:

x^2-3x-1=0

Now we see that the constant b is equal to -3. Using the hint, we find:

(-3/2)^2=9/4

Hope that helps!

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Solve for in the diagram below.<br> (6x - 2)<br> 20°<br> O<br> 2

fenix001 [56]

Answer:

x=12

Step-by-step explanation:

The three angles add to a straight line which is 180 degrees

20 + 6x-2 + 90 = 180

Combine like terms

108 + 6x = 180

Subtract 108 from each side

108+6x-108 = 180-108

6x =72

Divide each side by 6

6x/6 = 72/6

x=12

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2 years ago

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Maksim231197 [3]

Answer:

Step-by-step explanation:

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3 years ago

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WITCHER [35]

Answer:

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Step-by-step explanation:

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3 years ago

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Likurg_2 [28]

Answer:

D. (3, -4)

Step-by-step explanation:

Imagine you are going 4 right and 3 up.

Now if you turn this 90o clockwise, you are going 4 down and 3 right.

that is (3, -4)

4 0

2 years ago

A small radio transmitter broadcasts in a 29 mile radius. If you drive along a straight line from a city 32 miles north of the t

hram777 [196]

Answer: He will pick up a signal from the transmitter 29.43 miles of the drive.

Step-by-step explanation:

Since we have given that

Radius = 29 mile

So, equation of circle would be

$x^2+y^2=29^2=841$

There is a straight line from a city 32 miles north i.e. (0,32) to a second city 40 miles east of the transmitter i.e. (40,0)

So, equation of line would be

$y-32=\dfrac{0-32}{40-0}(x-0)\\\\y-32=\dfrac{-32}{40}x\\\\y-32=-0.8x\\\\y+0.8x=32\\\\y=32-0.8x$

So, we will put this value in the equation of circle.

$x^2+(32-0.8x)^2=841\\\\x^2+1024+0.64x^2-51.2x=841\\\\1.64x^2-51.2x=841-1024\\\\1.64x^2-51.2x=-183\\\\1.64x^2-51.2x+183=0$

So, x= 4.12 and x = 27.1

So, y = 28.7, y = 10.32

So, distance between them would be

$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(27.1-4.12)^2+(28.7-10.32)^2}\\\\=29.43$

Hence, he will pick up a signal from the transmitter 29.43 miles of the drive.

7 0

2 years ago