Answer:
2nd option
Step-by-step explanation:
Given
3x³ - 15x² - 4x + 20
step 1 ( group the first/second and third/fourth terms )
(3x³ - 15x² ) + (- 4x + 20)
step 2 ( factor each group )
3x² (x - 5) - 4(x - 5) ← note factor of - 4 ( not + 4 )
step 3 ( factor out (x - 5) from each term )
(x - 5)(3x² - 4)
First, let's find what √14 equals.
√14 ≈ 3.74
Now, we can solve for all the answer choices.
Option A:
19/6 = 3.1666...
22/7 = 3.1428...
Option B:
Doesn't need to be solved.
3.17
3.71
Option C:
√4 = 2
√9 = 3
Option D:
Doesn't need to be solved.
3.70
3.75
The only option that contains √14 between it, is Option D.
Hope This Helped! Good Luck!
The factors of the expression is 2and -3
Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
