Answer:
Step-by-step explanation:
ABC and DEF are congruent
ABC and JKL are not congruent
ABC and QRS are congruent
JKL and DEF are not congruent
JKL and QRS are not congruent
QRS and DEF are congruent
Answer:
hence g(x) is increasing at point x= 3+14i,3-14i
Step-by-step explanation:
given, g(x)=x^3-(8+1)x^2-4(9+2)x+5x2-1
g(x)=x^3-9x^2-44x+10x-1
g(x)=x^3-9x^2-34x-1
=3x^2-18x-34
for increasing and decreasing function,
3x^2-18x-34=0
x=3+14i
0
x=3-14i
0
hence g(x) is increasing at point x= 3+14i,3-14i answer
Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²
Answer:
p=32
Step-by-step explanation:
Answer: 2/3 feet
Step-by-step explanation:
6 1/6 - 5 1/2
6 1/6 - 5 3/6
5 7/6 - 5 3/6 = 4/6 or 2/3
2/3 feet is the difference in their heights.