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Drupady [299]
3 years ago
5

What is the area of the triangle?

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

225cm.....................

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How can I factorise (2x cubed - 5x + 3) ?
PilotLPTM [1.2K]
2x^3-5x+3=2x^3-2x-3x+3\\\\=2x(x^2-1)-3(x-1)\\\\=2x\underbrace{(x^2-1^2)}_{use\ (*)}-3(x-1)\ \ \ |(*)\ a^2-b^2=(a-b)(a+b)\\\\=2x\underbrace{(x-1)}_{(**)}(x+1)-3\underbrace{(x-1)}_{(**)}\\\\=(x-1)[2x(x+1)-3]\\\\=(x-1)\underbrace{(2x^2+2x-3)}_{(***)}\\\\(***)\ 2x^2+2x-3\to a=2;\ b=2;\ c=-3\\\\x=\frac{b^2\pm\sqrt{b^2-4ac}}{2a}

therefore\\x=\frac{-2\pm\sqrt{2^2-4(2)(-3)}}{2(2)}=\frac{-2\pm\sqrt{4+24}}{4}=\frac{-2\pm\sqrt{28}}{4}=\frac{-2\pm\sqrt{4\cdot7}}{4}=\frac{-2\pm2\sqrt7}{4}\\\\=\frac{-1\pm\sqrt7}{2}\\\\so,\ the\ answer:\\\\(x-1)\cdot2\left(x-\frac{-1-\sqrt7}{2}\right)\left(x-\frac{-1+\sqrt7}{2}\right)\\\\=\boxed{(x-1)(2x+1+\sqrt7)\left(x+\frac{1-\sqrt7}{2}\right)}=\boxed{\frac{1}{2}(x-1)(2x+1+\sqrt7)(2x+1-\sqrt7)}
7 0
3 years ago
Read 2 more answers
C'MON, PLS HELP, I WILL GIVE BRAINLIEST-A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. T
Vika [28.1K]
Hi there,

width: 15, length: 30

Also, the max area of the garden is 450 square feet. 

Hope this helps,

Master Yoda
6 0
4 years ago
Houw would i factor this problem out completely?
kvasek [131]
You can factor out a 3t first, resulting in:
3t(2t^2+3t-5)

Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}

Simplify, you get your x's:
x = 1, -\frac{5}{2}

To write the equation in simplified form, you just write it this way:
3t(x-1)(2x+5)

That's your answer ^
3 0
3 years ago
Read 2 more answers
What is x to the power of 10
Likurg_2 [28]

Answer:

x^10

Step-by-step explanation:

x^10

6 0
3 years ago
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What is the y intercept of (-6, -5) when the slope is -2/3?
Alecsey [184]
X must be increased by 6 to get its value to be 0. Then the corresponding change in y will be (-2/3)*6 = -4. That value added to -5 makes it -9.

The y-intercept will be -9.

6 0
3 years ago
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