Answer: 16(x + 3)
Step-by-step explanation: When you're asked to a polynomial, the first thing you want to look for is the greatest common factor between the terms that are involved.
So what is the greatest common factor of 16x and 48?
The greatest common factor of 16x and 48 is 16 because
it's the largest number that divides evenly into 16 and 48.
The x does not qualify because it must appear in every term
to qualify for the GCF but here, it only appears in one term.
So a 16 factors out leaving us with each term divided by it
inside a set of parentheses so w eget 16(x + 3).
Notice that if we distributed the 16 through both terms,
we would end up with our original polynomial.
Answer:
-f(3x - 1) + 2 = -18x² + 12x + 1
Step-by-step explanation:
Step 1: Find f(3x - 1)
f(3x - 1) = 2(3x - 1)² - 1
f(3x - 1) = 2(9x² - 6x + 1) - 1
f(3x - 1) = 18x² - 12x + 2 - 1
f(3x - 1) = 18x² - 12x + 1
Step 2: Plug in f(3x - 1)
-(18x² - 12x + 1) + 2
Step 3: Evaluate
-18x² + 12x - 1 + 2
-f(3x - 1) + 2 = -18x² + 12x + 1
Answer:
In parallelogram ABCD
FD is perpendicular to BC
BE is perpendicular to CD
Consider triangle BEC and triangle DFC
FC = EC (Given)
Angle BEC = Angle DFC (=90°)
Angle BCE = Angle DCF (common)
Therefore triangle BEC is congruent to triangle DFC (AAS congruency)
DF = BE (CPCT)
Since the altitudes are equal their bases will also be equal
Therefore BC = DC
Therefore BC = DC = AD = AB
Therefore ABCD is a rhombus
Hope this helps!
Mark me as brainliest
51 snack in all because 18 + 23 = 51
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
Therefore, the measure of angle BFE is 62°.
