First we need to find the base and height of the triangle. We can see that the base goes from 3 to 11 on the coordinate plane. If we take 11 - 3, we get 8.
8 is our base. We can also see that the height goes from 3 to 12. 12 - 3 is 9, so our height is 9.
The formula for a triangle is (1/2)bh so 8 x 9 is 72, and 72 times 1/2 is 36.
The area of the triangle on the coordinate plane is 36 units
Answer:
y = -x + 2
Step-by-step explanation:
The equation of a line in a slope intercept form is given as :
, where m is the gradient and c, y - intercept.
First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;

By substitution we get



We substitute any of the points and the value of m into y= mx + c to find the value for c.


Adding 4 to both sides.



Hence the equation of the line is :
y = -x +2
Let KLMN be a trapezoid (see added picture). From the point M put down the trapezoid height MP, then quadrilateral KLMP is square and KP=MP=10.
A triangle MPN is right and <span>isosceles, because
</span>m∠N=45^{0}, m∠P=90^{0}, so m∠M=180^{0}-45^{0}-90^{0}=45^{0}.Then PN=MP=10.
The ttapezoid side KN consists of two parts KP and PN, each of them is equal to 10, then KN=20 units.
Area of KLMN is egual to

sq. units.
Answer:
<h3>The common ratio is 2</h3>
Step-by-step explanation:
To find the common ratio of the geometric sequence divide the previous term by the next term
That's
0.9 / 0.45 = 2
1.8 / 0.9 = 2
Therefore the common ratio is 2
Hope this helps you