a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
C. Equilateral
D. Right
E. Obtuse
F. Acute
B) Isosceles
two of the leg sides are the same measurement, and are "congruent" with each other.
D. Right
There is a right angle shown (bottom left where square is), making triangles a right triangle.
hope this helps
Answer:
B)Isosceles and D)Right triangle
Detailed explanation:
What is an isosceles triangle?
The definition of a isosceles is a triangle that has two sides which are equal in length.
We see that this applies to this problem.
We see that it is also a right triangle due to the 90 degree angle mark.
Therefore, the triangle is both an Isosceles and a right triangle.
Write your answer in this form: (X1,41), (x2,42).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Answer:
The x-intercepts are (2+√(8/3),0) and (2-√(8/3),0)
Step-by-step explanation:
y = A(x+2)2 - 8
Since (0,4) is on the graph, 4 = 4A-8
4A = 12
A = 3
So, y = 3(x+2)2-8
To locate the x-intercepts, set y = 0 and solve for x:
0 = 3(x+2)2-8
3(x+2)2 = 8
x+2 = ±√(8/3)
x = -2 ± √(8/3)