Answer : <em>Equation of line is</em> y=Equation of line is y=
x+
Step-by-step explanation:
Theory :
Equation of line is given as y = mx + c.
Where, m is slope and c is y intercepted.
Slope of given line : y =
x+1 is m= 
We know that line : y =
x+1 is parallel to equation of target line.
therefore, slope of target line will be
.
we write equation of target line as y=
x+c
Now, It is given that target line passes through point ( -5,-2)
hence, point ( -5,-2) satisfy the target line's equation.
we get,
y=
x+c
-2=
-5+ c
-5=
+c
c= 
thus, Equation of line is y=Equation of line is y=
x+
Answer:
Point S represent the score 93.5 which is Drew's New Score.
Step-by-step explanation:
The score of Drew on a math test = 92
Point for each correction in the math test = 1/2 = 0.5
Now, the number of problems corrected = 3 x 0.5 = 1.5
So, Now, the new scale of Drew = Old Score + The Correction Score
= 92 + 1.5
= 93.5
or, Drew, new score = 93.5
Hence, point S represent the score 93.5 which is Drew's New Score.
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:

The distance between point A and point B is 10 units.

Taking square on both sides, we get



Taking square root on both sides, we get



and 
and 
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
Solution:
As we know reference angle is smallest angle between terminal side and X axis.
As cosine 45 ° is always positive in first and fourth quadrant.
i.e CosФ, Cos (-Ф) or Cos(2π - Ф) have same value.
As, Cos 45°, Cos (-45°) or Cos ( 360° - 45°)= Cos 315°are same.
So, Angles that share the same Cosine value as Cos 45° have same terminal sides will be in Quadrant IV having value Either Cos (-45°) or Cos (315°).
Also, Cos 45° = Sin 45° or Sin 135° i.e terminal side in first Quadrant or second Quadrant.
Answer:
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Step-by-step explanation:
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