Answer:
Part a) The measure of the sides of triangle DEF are



Part b) Is a scalene triangle
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to

we have the coordinates
D(8,-6) E(-1,-3) F(-2,5)
step 1
Find the length side DE
D(8,-6) E(-1,-3)
substitute in the formula



step 2
Find the length side EF
E(-1,-3) F(-2,5)
substitute in the formula



step 3
Find the length side DF
D(8,-6) F(-2,5)
substitute in the formula



step 4
Classify the triangle by the measure of its sides
we have



so
Is a scalene triangle, because is a triangle in which all three sides have different lengths.
Answer:
-2. 46
- 9.54
Step-by-step explanation:
- 2x²+12x-7=0
- 2x²+12x+18= 25
- 2*(x²+6x+9)=25
- 2*(x+6)²= 5²
- x+6= 5√2/2 ⇒ x= 5√2/2 -6 ≈ -2. 46
- x+6= -5√2/2 ⇒ x= -5√2/2 -6 ≈ - 9.54
The answer is 6 and there you go
Answer:
133 ft
Step-by-step explanation:
Given in the question,
length of the rectangle = 31 ft
width of the rectangle= 20 ft
diameter of semicircle = 20 ft
radius of semicircle = 20/2 ft = 10 ft
Formula to use:
<h3>perimeter of rectangle + perimeter of semicircle</h3>
perimeter of rectangle = 2(l+w)
perimeter of semicircle = 1/2(2πr)
Plug values in the formula above
2(31 + 20) + 3.14(10)
133.4 ft
≈ 133 ft