Distribute and simplify (x-4)(x+8 - 6)

Mathematics

2 answers:

alukav5142 [94]3 years ago

8 0

Answer:

x^2-2x-8

Step-by-step explanation:

I used the distributive property to get this answer

katrin [286]3 years ago

6 0

Answer:

x^2 -2x-8

Step-by-step explanation:

(x-4)(x+8 - 6)

Simplify the second term

(x-4)(x+2)

FOIL

first: x*x = x^2

outer: 2*x = 2x

inner: -4*x = -4x

last: -4*2 = -8

Add them together

x^2 +2x-4x-8

x^2 -2x-8

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I need help with this. Thanks I need to find the degree

scoundrel [369]

Answer:

119.05°

Step-by-step explanation:

In general, the angle is given by ...

θ = arctan(y/x)

Here, that becomes ...

θ = arctan(9/-5) ≈ 119.05°

_____

Comment on using a calculator

If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.

It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...

Tan = Opposite/Adjacent = |y|/|x|

This is the tangent of the reference angle, which will be ...

θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°

You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.

3 0

3 years ago

Evaluate 2 tan 45 - tan 60

Neko [114]

Answer:

2-\sqrt{3} \\

Step-by-step explanation:

2-\sqrt{3} \\