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+
The slope of the line is:(1-(-8))/4-0=9/4
Answer:
x = 18.46
Step-by-step explanation:
Find the last angle of the triangle.
180-90-72 = 18
The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(b) = adj/hyp
CosB=a/c rewrite to get
6/CosB (72) = 19.41
Find the last side of the triangle using the Pythagorean theorem.
b=square root c^2 - a^2
b=square root 376.99 - 36
b= 18.46
Answer:
2x+13
Step-by-step explanation:
Plug in (x+3) in the F(x) function so:
f(x+3) = 2(x+3) + 7 = 2x+6+7 =2x+13
ANSWER: F(x+3) = 2x+13
<h3>
Answer: Approximately 119.76 meters</h3>
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Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
-------------------------
When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
