Answer: 140 square units.
Step-by-step explanation:
The area of triangle with vertices
is given by
![\text{Area}=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2]](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Cfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%5D)
Then area of triangle QRS with vertices (6,10), (2,-10) and (-9,5) is given by :-
![\\\\\Rightarrow\text{Area}=|\frac{1}{2}[6(-10-5)+2(5-10)-9(10-(-10))]|\\\\\Rightarrow\text{Area}=|\frac{1}{2}[6(-15)+2(-5)+-9(20)]|\\\\\Rightarrow\text{Area}=|\frac{1}{2}[280]|\\\\\Rightarrow\text{Area}=140\text{ square units}](https://tex.z-dn.net/?f=%5C%5C%5C%5C%5CRightarrow%5Ctext%7BArea%7D%3D%7C%5Cfrac%7B1%7D%7B2%7D%5B6%28-10-5%29%2B2%285-10%29-9%2810-%28-10%29%29%5D%7C%5C%5C%5C%5C%5CRightarrow%5Ctext%7BArea%7D%3D%7C%5Cfrac%7B1%7D%7B2%7D%5B6%28-15%29%2B2%28-5%29%2B-9%2820%29%5D%7C%5C%5C%5C%5C%5CRightarrow%5Ctext%7BArea%7D%3D%7C%5Cfrac%7B1%7D%7B2%7D%5B280%5D%7C%5C%5C%5C%5C%5CRightarrow%5Ctext%7BArea%7D%3D140%5Ctext%7B%20square%20units%7D)
Answer:
Hello in order to complete this question we need the table. If you give the table I am sure you will get more helpful and accurate information
Step-by-step explanation:
<span>B.) It is a straight line joining the points (0, −2), (2, 1), and (−2, −5).
[ It is because x- & y-coordinates are valid in this situation ]
Hope this helps!</span>
Answer:
(x - 3)(2x + 7)
Step-by-step explanation:
Assuming you require the expression factorised.
Given
2x² + x - 21
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 21 = - 42 and sum = + 1
The factors are - 6 and + 7
Use these factors to split the x- term
2x² - 6x + 7x - 21 ( factor the first/second and third/fourth terms )
= 2x( x - 3) + 7(x - 3) ← factor out (x - 3) from each term
= (x - 3)(2x + 7) ← in factored form