Answer:
Neither
Step-by-step explanation:
5 x -10 = -50
4 x 9 = 36
-50 + 36 = -14 and therefore can not be orthogonal
sqrt(25+16)=sqrt(41)
sqrt(100+81)=sqrt(181)
sqrt(41) x sqrt(181) is not equal to -14 so therefore it is not parallel
So the answer is then neither
Slope -2/3
Y Intercept 2
Slope1
Y Intercept 2
Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.
Here, vertices VWX are in <em>clockwise</em> order. The corresponding vertices V'W'X' are in <em>counterclockwise</em> order. For that to happen, there must be a reflection involved.
The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.
The algebraic rule for these two figures is ...
(x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes
__
<em>Additional comment</em>
No rotation is involved here.
The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This <em>is</em> the algebraic rule.
Answer:
1) D. 
2) E. The coefficient of
is -16.
Step-by-step explanation:
1) A polynomial is an algebraic expression of the form
, where
is the grade of the polynomial. In this case, the only equation that satisfies this definition is:

Correct answer: D
2) Let
, we proceed to expand the expression by algebraic means:


We see that coefficients for
and
are -16 and 0, respectively. Hence, the incorrect answer is E.