Answer:

Step-by-step explanation:
we know that
If triangles EFG and QRS are similar
then
the scale factor is equal to the measure of the smallest side of triangle QRS divided by the smallest side of triangle EFG
so
Let
x-------> the smallest side of triangle QRS
y-------> the smallest side of triangle EFG
z-------> the scale factor
we have

substitute the values


Find the length of the longest side of QRS
The length of the longest side of QRS is equal to multiply the scale factor by the length of the longest side of EFG
so

The perimeter of R is the same as the perimeter of L
Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
Answer: 36 units squared.
Explanation:
Area of a traingle is given by,
| 0.5{x1(y2-y3) + x2(y3-y1) + x3(y1-y2)} |
Accepting the values of the coordinates in x's and y's,
x1 =0, y1=0
x2=3, y2=8
x3 =9, y3=0
= | 0.5 × (-72)|
= 36 unit squared.