The transformation is done to y=1/x to get y=1/4x-12. We defined a turning point in the equation which will indicate the point in the graph.
We changed the form from y=x to y=x+c. In this case, we use 1/2 for the and constant C value which is -12.
Answer:
11-g
Step-by-step explanation:
You would have to subtract the number of gumdrops Kendall ate (g) from the number of gumdrops they had in the beginning (11). So the expression would be 11-g
Answer:
(5x+20)+(4x-11)=180(linear pair)
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
now,
(2y+19)+(5x+20)=180(co-interior angle)
2y+19+5×19+20=180
2y+134=180
2y=180
y=180/2
y=90
Question:
Howard is designing a chair swing ride. The swing ropes are 4 meters long, and in full swing they tilt in an angle of 23°. Howard wants the chairs to be 3.5 meters above the ground in full swing. How tall should the pole of the swing ride be? Round your final answer to the nearest hundredth.
Answer:
7.18 meters
Step-by-step explanation:
Given:
Length of rope, L = 4 m
Angle = 23°
Height of chair, H= 3.5 m
In this question, we are to asked to find the height of the pole of the swing ride.
Let X represent the height of the pole of the swing ride.
Let's first find the length of pole from the top of the swing ride. Thus, we have:

Substituting figures, we have:
Let's make h subject of the formula.

The length of pole from the top of the swing ride is 3.68 meters
To find the height of the pole of the swing ride, we have:
X = h + H
X = 3.68 + 3.5
X = 7.18
Height of the pole of the swing ride is 7.18 meters
Answer:
(x+6)^2 =0
Step-by-step explanation:
x^2+ 12x + 36 = 0
Subtract 36 from each side
x^2+ 12x + 36-36 = 0-36
x^2 +12x = -36
Take the coefficient of x
12
Divide by 2
12/2 =6
Square it
6^2 =36
Add this to each side
x^2+ 12x + 36 = -36+36
(x+12/2)^2 = 0
(x+6)^2 =0