Answer:
Please check explanations
Step-by-step explanation:
Slopes are generally the ratio of rise(vertical difference) to fall (horizontal difference) for set of points lying on a straight line
Positive slopes show a positive relationship between the two things we are considering while a negative one shows otherwise
They are the same in the sense that they actually represent a constant change between the coordinates of the points in the relationship we are considering.
They are different in the sense that while one represents a positive change, whereby both axes move in the same direction ( rise at same rate, fall at same rate) , the second represent a relationship in which they move in opposite directions. While one falls, the other rises and while the other rises, the second one falls which indicates an opposing movement type between the two
Answer:
(C)It is the distance between –14 and 0 on the number line.
Step-by-step explanation:
The absolute value of a number returns a positive value no matter te number inside the absolute sign.
Therefore, the absolute value of -14 is 14.
That is: 
It is the distance between -14 and 0 on the number line.
The correct option is C.
Answer:
The value of 
is 10.
Step-by-step explanation:
If APR and SPL are vertical angles, then we get that 
. Given that 
and 
, we find that the value of is:
The value of is 10.
Answer:
358 inches^2
Step-by-step explanation:
SA = 2(lw + lh + wh)
SA = 2 (12*7 + 12*5 + 7*5)
SA = 358
Hope this is helpful !!!!!
The correct question is
The hypotenuse and one of the legs of a right triangle form an angle that has a cosine of √<span>2/2 .
What is the measure of the angle?
Let
</span>∅--------> the angle
cos ∅=√2/2<span>
cos </span>∅=[distance of one of the leg/hypotenuse]
[distance of one of the leg/hypotenuse]=√2/2
<span>I could say that
</span>distance of one of the leg=√2
and
hypotenuse=2
so
<span>applying the Pythagorean theorem
</span>c=hypotenuse=2
a=√2
b=?
c²=a²+b²-------> b²=c²-a²------> b²=2²-(√2)²-----> b²=2-----> b=√2
therefore
if a=b
then
the angle ∅=45°
the answer is the option
<span>b.45 degrees</span>
