Answer:
cos²A - cosA - 6
Step-by-step explanation:
Given
(cosA + 2)(cosA - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
cosA(cosA - 3) + 2(cosA - 3) ← distribute both parenthesis
= cos²A - 3cosA + 2cosA - 6 ← collect like terms
= cos²A - cosA - 6
Answer:
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Step-by-step explanation:
Answer:
C) 19.5 square units
Step-by-step explanation:
The area from coordinates can be computed as ...
A = (1/2)|x1(y2 -y3) +x2(y3 -y1) +x3(y1 -y2)|
= (1/2)|7(10 -4) +0(4 -1) +9(1-10)| = (1/2)|7·6 +9·(-9)|
= (1/2)|-39| = 39/2 = 19.5
The area of the triangle is 19.5 square units.
Let angle be alpha
![\\ \rm\Rrightarrow Area=50.24](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20Area%3D50.24)
![\\ \rm\Rrightarrow \dfrac{\alpha}{360}\pi r^2=50.24](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Cdfrac%7B%5Calpha%7D%7B360%7D%5Cpi%20r%5E2%3D50.24)
![\\ \rm\Rrightarrow \alpha 3.14r^2=18086.4](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Calpha%203.14r%5E2%3D18086.4)
![\\ \rm\Rrightarrow \alpha r^2=5760](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20%5Calpha%20r%5E2%3D5760)
![\\ \rm\Rrightarrow r^2=\dfrac{5760}{\alpha}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20r%5E2%3D%5Cdfrac%7B5760%7D%7B%5Calpha%7D)
![\\ \rm\Rrightarrow r=\sqrt{\dfrac{5760}{\alpha}}](https://tex.z-dn.net/?f=%5C%5C%20%5Crm%5CRrightarrow%20r%3D%5Csqrt%7B%5Cdfrac%7B5760%7D%7B%5Calpha%7D%7D)
If you have angle measure in degree put in place of Alpha and get the value elaw this is our final answer
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Given that x + 8 = 15
Hence:
x + 8 - 8 = 15 - 8 (subtraction property of inequality)
x = 7
The subtraction property of inequality can be used to proof that x = 7 from x + 8 = 15
Find out more on equation at: brainly.com/question/2972832
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