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vazorg [7]
2 years ago
12

X² - 40x-129 resolve into factor​

Mathematics
1 answer:
Lelu [443]2 years ago
8 0

Answer:

(x - 43)(x + 3)

Step-by-step explanation:

consider the factors of the constant term (- 129) which sum to give the coefficient of the x- term (- 40)

the factors are - 43 and + 3 , since

- 43 × + 3 = - 129 and - 43 + 3 = - 40 , then

x² - 40x - 129 = (x - 43)(x + 3) ← in factored form

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PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Naily [24]

Answer:

Step-by-step explanation:

Triangle HIJ is a right angle triangle.

From the given right angle triangle

IJ represents the hypotenuse of the right angle triangle.

With ∠J as the reference angle,

HJ represents the adjacent side of the right angle triangle.

HI represents the opposite side of the right angle triangle.

To determine IJ, we would apply Sine trigonometric ratio. It is expressed as

Sin θ = opposite side/hypotenuse. Therefore,

Sin 54 = 7/IJ

0.8090 = 7/IJ

IJ = 7/0.8090

IJ = 8.7 to the nearest tenth

4 0
3 years ago
How many ways can a committee of nine be formed from 10 men and their wives, if no husband serves on it with his wife?​
san4es73 [151]

Answer:

5120

Step-by-step explanation:

divide the entire group into 10 groups where each group has a man and his wife.

number of ways of selecting 9 groups is 10C9 which equals 10 ways

the number of ways selecting 1 person from a group is 2C1 =2 .

So that means the number of ways of selecting 1 person from 9 groups is 2^9=512

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6 0
3 years ago
Cos2pi/7+cos4pi/7+cos8pi/7=1/8
Naddika [18.5K]

An equation is formed of two equal expressions. The given equation is not true.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The complete question is: Check whether the given equation is true or not?cos2pi/7+cos4pi/7+cos8pi/7=1/8.


To know if the given equation, cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}=\dfrac18 is true or not, both the sides of the equation are needed to be solved separately.

The value of cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7} when simplified is equal to -0.5, or the value can be written as -(1/2).

Since the right side of the equation is equal to -1/2, while the right side of the equation is 1/8. Thus, the given equation is not true.

Hence, the given equation is not true.

Learn more about Equation:

brainly.com/question/2263981

#SPJ1

6 0
2 years ago
2root3 sin^<a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ac9eec">[email&#160;protected]</a> - <a href
Phantasy [73]

Answer:

Step-by-step explanation:

2\sqrt{3} sin^{2} \alpha -cos\alpha =0\\2\sqrt{3} (1-cos ^2 \alpha )-cos \alpha =0\\2\sqrt{3} -2\sqrt{3} cos^2 \alpha -cos \alpha =0\\2\sqrt{3} cos^2 \alpha +cos \alpha -2\sqrt{3} =0\\cos \alpha =\frac{-1 \pm\sqrt{1^2-4*2\sqrt{3}*(-2\sqrt{3})  } }{2*2\sqrt{3} } \\=\frac{-1 \pm\sqrt{1+48} }{4\sqrt{3} } \\=\frac{-1\pm7}{4\sqrt{3} } \\either~cos \alpha =\frac{6}{4\sqrt{3} }=\frac{\sqrt{3} }{2} \\=cos \frac{\pi }{6} ,cos(2\pi -\frac{\pi }{6} )\\=cos \frac{\pi}{6} ,cos \frac{11\pi }{6}

\alpha =2 n\pi+ \frac{\pi }{6} ,2n\pi +\frac{11\pi }{6} (general~solution)

or~cos\alpha =-\frac{7}{4\sqrt{3} } \\ \alpha =cos^{-1}( \frac{-7}{4\sqrt{3} } )

5 0
3 years ago
Solve please!!<br> equation is in the directions!!
patriot [66]
14. The equation would be -16t^2+60t+7 To find the maximum point plug in values into the equation -b/2a to find the axis of symmetry, and plug that number in for t.
b=60, a=-16
-60/-32=t=1.875
-16(1.875)^2+60(1.875)+7=63.25
Maximum point: (1.875,63.25)
The ball will land after about 3.86 seconds
7 0
3 years ago
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