A line that is parallel to another line will have the same slope, in our case, the slope of 3. Therefore, we can just change the y-intercept to create any line parallel to y=3x+5 (just remember to keep the slope the same). For example, y=3x+5, y=3x-9, and y=3x+6.2 are all equations that are parallel to y=3x+5.
:)
12x^3-11x^2+9x+18 divided by 4x+3
put he division into fraction
12x^3-11x^2+9x+18/4 x +3
reduced fraction by 2
12x^3-11x^2+9x+9/2 x +3
calculate sum
12x^3-11x^2+27/2 x +3
that is your answer ^
hope this helps :)
The answer is b
Explanation:
The answer is
the second graph.
You need to isolate x, in order to do this you need to multiply both sides by 3, or 3/1
2*3 = 6
x/3 * 3 = x
Your equation should now be
So the circle should be filled in and pointing towards the left starting from 6
Answer:
The height of the pole is 167 m
Step-by-step explanation:
The given parameters are;
Increase in the length of the shadow = 90 m
Initial angle of elevation of the Sun = 58°
Final angle of elevation of the Sun = 36°
We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase in the length of the shadow
We have by sin rule;
90/(sin (22°) = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)
Let the initial ray from the top of the pole to the end of the shadow's length = l₁
90/(sin (22°) = l₁/(sin(122°)
l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m
Therefore;
The height of the pole = 283.3 m × sin(36°) = 166.52 m
The height of the pole= 167 m to three significant figures.