Answer:
g(-1)=-16
Step-by-step explanation:
g(x)=6x-10
Let x=-1
g(-1)=6(-1)-10
=-6-10
g(-1)=-16
Answer:
The angle of elevation is about 27°
Step-by-step explanation:
Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.
Let x represent the original height
2x is the length of shadow
And θ the angle of elevation
Applying trigonometry;
Tan θ = opposite/adjacent = original height/shadow length
Substituting the values;
Tan θ = x/2x
Tan θ = 1/2
θ = taninverse(1/2)
θ = 26.56505117707
θ ≈ 27°
Elevation angle is approximately 27°
Here are a couple I found:
<u>Similarities</u>:
- They have the same y-intercept of (0,5).
- They are both in slope-intercept form.
<u>Differences</u>:
- The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
- They have different x-intercepts. (y = 2x + 5 intersects (-, 0) while y = -13x + 5 intersects at (, 0)
<u></u>
<u>Explanation</u>:
Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).
As for differences, we can see that the coefficient in place of that "m" is positive in y = <u>2x</u> + 5 and negative in y = <u>-13x</u> + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.
Answer:
285
Step-by-step explanation:
285÷3=95
285÷9=31.6666