Answer:
Reflections and rotations
Step-by-step explanation:
Reflections and rotations preserves the distance and angle measurements.
X^2+10x+29=0
Quadratic Formula:
−b±√b^2−4(ac)/2a
Substitute the values :
a=1, b=−10, and c=29
into the quadratic formula and solve for
x.
10±√(−10)^2−4•(1•29)/ 2•1
Simplify.
Answer: x=5±2i
Answer:
2340 m^2
Step-by-step explanation:
The area of kite = multiply the lengths of the two diagonals and divide by 2
The top left triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 51^2 - 24^2
b^2 = 2601 - 576
b^2 = 2025
b = 45
Top right triangle:
Using Pythagorean theorem:
c^2 = a^2 + b^2
so
b^2 = c^2 - a^2
b^2 = 53^2 - 45^2
b^2 = 2809 - 2025
b^2 = 784
b = 28
so the two diagonals:
24 + 28 = 52 m and 45 + 45 = 90 m
Area of the kite:
A = 52 x 90 / 2
A = 2340 m^2
Answer:
d. -4/5
Step-by-step explanation:
When using the equation m = y2 - y1 / x2 - x1, we get m = 5-1 / -3-2.
Simplified: m = 4/-5.
The negative can be placed on the numerator or denominator, it doesn't make a difference.