Answer:
The answer to your question is -(x + 1)(x + 4)
Step-by-step explanation:
Data
Polynomial -x² - 5x - 4
Process
1.- Factorize the sign
-(x² + 5x + 4)
2.- Factorize a polynomial of the form x² + bc + c
-(x + 1)(x + 4)
3.- It is not possible to continue factoring so the answer is
-(x + 1)(x + 4)
Answer:
Yes they are
Step-by-step explanation:
Conguent shapes are still conguent even if rotated and flipped. As long as their angles and length of sides are the same, they are congruent
Answer:
Step-by-step explanation:
you multily the negative by the positive and get a negative answer so -36.8
Answer:
The area of a triangle is:
Step-by-step explanation:
Given the points of a triangle
A(1, 1)
B(2, 3)
C(4, 5)
![\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}](https://tex.z-dn.net/?f=%5Cmathrm%7BCompute%5C%3Athe%5C%3Adistance%5C%3Abetween%5C%3A%7D%5Cleft%28x_1%2C%5C%3Ay_1%5Cright%29%2C%5C%3A%5Cleft%28x_2%2C%5C%3Ay_2%5Cright%29%3A%5Cquad%20%5Csqrt%7B%5Cleft%28x_2-x_1%5Cright%29%5E2%2B%5Cleft%28y_2-y_1%5Cright%29%5E2%7D)
Distance between AB:
![AB=\sqrt{\left(2-1\right)^2+\left(3-1\right)^2}](https://tex.z-dn.net/?f=AB%3D%5Csqrt%7B%5Cleft%282-1%5Cright%29%5E2%2B%5Cleft%283-1%5Cright%29%5E2%7D)
![=\sqrt{1+4}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B1%2B4%7D)
![=\sqrt{5}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B5%7D)
so
Distance between BC:
![BC=\sqrt{\left(4-2\right)^2+\left(5-3\right)^2}](https://tex.z-dn.net/?f=BC%3D%5Csqrt%7B%5Cleft%284-2%5Cright%29%5E2%2B%5Cleft%285-3%5Cright%29%5E2%7D)
![=\sqrt{2^2+2^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E2%2B2%5E2%7D)
![=\sqrt{2^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B2%5E3%7D)
![=2\sqrt{2}](https://tex.z-dn.net/?f=%3D2%5Csqrt%7B2%7D)
so
Distance between AC:
![AC=\sqrt{\left(4-1\right)^2+\left(5-1\right)^2}](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B%5Cleft%284-1%5Cright%29%5E2%2B%5Cleft%285-1%5Cright%29%5E2%7D)
![=\sqrt{3^2+4^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B3%5E2%2B4%5E2%7D)
![=\sqrt{5^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B5%5E2%7D)
![=5](https://tex.z-dn.net/?f=%3D5)
so
Semiperimeter = sum of sides ÷ 2
![s=\frac{\sqrt{5}+2\sqrt{2}+5}{2}=5.03224](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B%5Csqrt%7B5%7D%2B2%5Csqrt%7B2%7D%2B5%7D%7B2%7D%3D5.03224)
Area of the triangle:
![A=\sqrt{s\left(s-a\right)\left(s-b\right)\left(s-c\right)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7Bs%5Cleft%28s-a%5Cright%29%5Cleft%28s-b%5Cright%29%5Cleft%28s-c%5Cright%29%7D)
![A=\sqrt{s\left(s-\sqrt{5}\right)\left(s-2\sqrt{2}\right)\left(s-5\right)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7Bs%5Cleft%28s-%5Csqrt%7B5%7D%5Cright%29%5Cleft%28s-2%5Csqrt%7B2%7D%5Cright%29%5Cleft%28s-5%5Cright%29%7D)
![A=\sqrt{5.03224\dots \left(5.03224\dots -\sqrt{5}\right)\left(5.03224\dots -2\sqrt{2}\right)\left(5.03224\dots -5\right)}](https://tex.z-dn.net/?f=A%3D%5Csqrt%7B5.03224%5Cdots%20%5Cleft%285.03224%5Cdots%20-%5Csqrt%7B5%7D%5Cright%29%5Cleft%285.03224%5Cdots%20-2%5Csqrt%7B2%7D%5Cright%29%5Cleft%285.03224%5Cdots%20-5%5Cright%29%7D)
![A=1](https://tex.z-dn.net/?f=A%3D1)
Therefore, the area of a triangle is:
80 degrees since the corrisponding angle, A, is also 80 degrees