Answer:
-4
Step-by-step explanation:
The slope is usually a function of the differences in y divided by the differences in x, and it can be described in the following equation,
(1)
We can select any of the two points to be our first point, let's say, J(1,-4) is point 1, so J (x1,y1). In other words,
and by the same way, for K(-2,8). Therefore,
. By substituting these values in equation 1, we can deduce the following
Answer: If a quadrilateral is a square, then it is a rectangle. (choice D.)
Step-by-step explanation:
The Law of Syllogism states that if the following two statements are true: If p , then q . If q , then r . Then we can derive a third true statement: If p , then r .
We can apply this rule in the conditional statements:
<em>If a quadrilateral is a square, (p) then it has four right angles. (q)</em>
<em>If a quadrilateral has four right angles, (q) then it is a rectangle. (r)</em>
Therefore:
<em>If a quadrilateral is a square, (p) then it is a rectangle. (r)</em>
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I hope this helps!
Answer:
Options (A) and (D)
Step-by-step explanation:
We can write the given division as,

Option (A)
When (2x² + 6x - 8) is divided (x + 5), the remainder is 12.
True.
Option (B)
When (2x² + 6x - 8) is divided (x - 5), the remainder is 12.
False.
Option (C)
When x = 5,
2x² + 6x - 8 = 12
2(5)² + 6(5) - 8 = 50 + 30 - 8
= 72
False.
Option (D)
When x = -5,
2(-5)² + 6(-5) - 8 = 50 - 30 - 8
= 12
True.
Option (E)
(x - 5) is a factor of 2x² + 6x - 8
If (x - 5) is a factor value of 2x² + 6x - 8 should be zero.
False.
Option (F)
(x + 5) is a factor of 2x² + 6x - 8
If (x + 5) is a factor then by substituting x = -5 in the expression value should be zero.
But the value is 12.
False.
0.008 as a percent is 0.8%.