Answer:
Sorry, but I can't see this well! I am on lapton, and it is impossible to tilt the whole thing over.
Answer: x - 12 is not a factor.
Step-by-step explanation:
The equation
x³ - 4x² - 4x + 16
To know which of the following is a factor , we continue to find the value of x and substitute into the equation and see the one that gives zero. The one that gives zero is the factor.
(a) x + 2
If x + 2 = 0
x = -2, now substitute for x in the equation and find out if it will be zero.
x³ - 4x² - 4x + 16 = (-2)³ - 4(-2)² - 4(-2) + 16.
= -8 - 16 + 8 + 16
= 0.
Therefore, x + 2 is a factor.
(b) x - 12
If x - 12 = 0, then x = 12
x³ - 4x² - 4x + 16
(12)³ - 4(12)² - 4(12) + 16
1728 - 576 - 48 + 16
= 1,120 , not a factor.
(c) x - 2
If x - 2 = 0, then x = 2
x³ - 4x² - 4x + 16
(2)³ - 4(2)² - 4(2) + 16
8 - 16 - 8 + 16
= 0, Therefore, x - 2 is a factor.
(d) x - 4
If x - 4 = 0, x = 4
x³ - 4x² - 4x + 16
(4)³ - 4(4)² - 4(4) + 16
48 - 48 - 16 + 16
= 0,therefore, x - 4 is also a factor.
The answer is B and put the question next time
First blank : Distributive property
Second : Simplify
Third : Subtraction property of Equality
Fourth : Division property of Equality
Answer:
Step-by-step explanation:
By the Isosceles Triangle Theorem, if 2 sides of a triangle are congruent to each other, than the angles opposite those sides are also congruent. We see by the markings on the triangle that WX and WY are congruent. That means that angle Y (which is across from WX) and angle X (which is across from WY) are the same measure. We can set them equal to each other because of this:
6y - 2 = 4x + 20
But we have a problem because we have 2 unknowns.
Let's try this out: the Triangle Angle-Sum Theorem says that all the angles of a triangle have to add together to equal 180. That means that
52 + 6y - 2 + 4x + 20 = 180.
But we STILL have a problem with those 2 unknowns. BUT...
If angle X and angle Y are the same, then we don't need both 6y - 2 AND 4x + 20. We only need 1 of those multiplied by 2 because they're the same measure. Changing things up a bit to reflect that:
52 + 2(4x + 20) = 180 and
52 + 8x + 40 = 180 and
8x = 88 so
x = 11.
That means that
4(11) + 20 = 64 which is the measure of both angles X and Y.
Let's check:
64 + 64 + 52 better equal 180. And it does, so we're good.
The value of x is found this way:
4x + 20 = 64 and
4x = 44 so
x = 11 which we already knew. Now for y:
6y - 2 = 64 and
6y = 66 and
y = 11 also.
