9514 1404 393
Answer:
342 mm²
Step-by-step explanation:
The triangle shown has a base of 9 mm and a height of 76 mm. Its area is ...
A = 1/2bh
A = (1/2)(9 mm)(76 mm) = 342 mm²
The triangle shown has an area of 342 mm².
_____
<em>Additional comment</em>
The other leg of the right triangle with one leg 76 mm and hypotenuse 100 mm will be about 65 mm. The base shown is 9 mm, so any triangle with the dimensions shown will be a fairly skinny obtuse triangle, not the acute triangle in the picture. (This makes us suspect an error: the 9 mm dimension maybe should be 90 mm.)
<u>Answer: </u>
Sum of the roots of the polynomial ![x^{3}+2 x^{2}-11 x-12 \text { is }-2](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B2%20x%5E%7B2%7D-11%20x-12%20%5Ctext%20%7B%20is%20%7D-2)
<u>Solution:</u>
The general form of cubic polynomial is
---- (1)
If we have any cubic polynomial
having roots ![\alpha , \beta , \theta](https://tex.z-dn.net/?f=%5Calpha%20%2C%20%5Cbeta%20%2C%20%5Ctheta)
Sum of roots
=
---(2)
From question given that,
--- (3)
On comparing equation (1) and (3), we get a = 1, b = 2, c = -11 and d = -12
Hence the sum of roots using eqn 2 is given as,
=
= -2
Hence the sum of the roots of the polynomial ![x^{3}+2 x^{2}-11 x-12 \text { is }-2](https://tex.z-dn.net/?f=x%5E%7B3%7D%2B2%20x%5E%7B2%7D-11%20x-12%20%5Ctext%20%7B%20is%20%7D-2)
Answer:
M
Step-by-step explanation:
The angle bisector is M
That would be 5x-5 because the number inside is multiplied by the numbers inside due to the brackets. Hope u understand my explanation.
It would be, Eighty-four thousand, and fifty two