Answer:
Step-by-step explanation:
Each point of function b(x) is shifted by rule
x -----> ( x - 2 )
and
y -----> (y + 3)
( - 1.5, 0) ------> (- 3.5, 3)
(- 1, - 1) -----> ( - 3, 2)
(0, - 2) ------> ( - 2, 1)
(1, - 1) -----> ( - 1, 2)
(2, 3) -----> (0, 6)
(4, 7) -----> (2, 10)
......
<u>ANSWER: </u>
The slope of the given line y - 3 = (x - 5) is 1 and (5, 3) is a point on that line.
<u>SOLUTION: </u>
Given, line equation is y – 3 = (x – 5)
We have to find the slope of the given equation along with a point on that line.
Now, if we observe, the given equation is in point slope form
Where, m is the slope of the line and is a point on the line.
Now by comparison of the two equations we can conclude that,
So, the point on the given line is (5, 3).
Hence, the slope of the given line is 1 and (5, 3) is a point on that line.
Area of a triangle = (1/2)*base*height
For both of the triangles, you have the base (8.8 for the triangle on the left, 7.6 for the triangle on the right) and the side lengths, but not the height. But since both are isosceles triangles, you can find the height using the pythagorean theorem.
5.
First divide the triangle vertically into two triangles (see attached picture). Now you have two right triangles, you can apply the pythagorean theorem on either one of them to find the height. The pythagorean theorem says that for a right triangle, , where c is the hypotenuse and a and b are the sides of the triangle.
Substituting the given values and rounding to nearest tenth:
Now that you have the height, you can find the area of the entire triangle.
A = (1/2)*base*height
A = (1/2)*8.8*9.0 = 39.6
6.
Same procedure.
A = (1/2)*base*height
A = (1/2)*7.6*9.2 = 35.0
