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professor190 [17]
3 years ago
7

Factor the polynomial completely. 4x3 – 12x2 + 7x – 21 4x2(x – 3) + 7(x – 3) which is the completely factored polynomial?

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0
4x^3-12x^2+7x-21=(x-3)(4x^2+7)
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A rectangular stained glass window is made up of identical triangular parts as pictured below.
Pachacha [2.7K]
36/4=9 48/3=16 so 9*16=144/2=72 so it is 72 square inches
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a secant and tangent are drawn to a circle from a common exterior point. If the length is 14 inches and the length of the extern
hoa [83]

Answer:

Correct option: (3) 45

Step-by-step explanation:

Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.

If we have a secant and a tangent to a circle, we can use the following property:

T^2 = E * (A + E)

If the tangent is 14 inches and the external segment is 4 inches, we have that:

14^2 = 4 * (A + 4)

196 = 4A + 16

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A = 45

Correct option: (3)

5 0
3 years ago
A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

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7 0
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PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!<br> WILL GIVE BRAINLIEST!!!
vampirchik [111]

Answer:

a) y = (x+2)/3

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Step-by-step explanation:

f^-1(x) means "f inverse of x". To find the inverse, we simply:

a ) f(x) = 3x -2

    y = 3x - 2 --> because f(x) is the same thing as y

    x = 3y - 2 --> to find the inverse, we simply just switch x and y

    x + 2 = 3y

    y = (x+2)/3

b) f^-1(13)

   f^-1(13) = [((13) + 2)/3]

   f^-1(13) = (15)/3

   f^-1(13) = 5

3 0
3 years ago
A car is traveling at a speed of 72 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w
Kryger [21]

Answer:

1.2 kilometers per minute; 6 kilometers in 5 minutes

Step-by-step explanation:

To find the KM per minute, divide the speed per hour (72) by 60 (minutes in one hour)

72/60 = 1.2 KM per minute

To find the KM for 5 minutes, multiply the KM per minute (1.2) times 5 minutes: 1.2*5 = 6 KM

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3 years ago
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