Pls help im like 5 hrs behind in math
1 answer:
You might be interested in
Answer:
A. 2(x + 9) = 8
Step-by-step explanation:
To solve this problem, we proceed as follows:
- We call "x" the number picked up by Amy:
- Amy then adds 9 to this number, so we get:
- Then, we multiply this sum by 2, so we get:
- Finally, Amy says that this number is equal to 8:
So the correct equation is
A. 2(x + 9) = 8
We can even solve it to find the number. We get:
Answer:
- (0, 5√3/2 + 2)
Step-by-step explanation:
Given is the absolute value function.
<u>Observations:</u>
- It has a slope of ±√3 and the y- intercept of 2.
- There is no horizontal shift, so the the y-axis is the line of symmetry.
- The y-axis is also an angle bisector of the two lines.
- The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.
We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
<u>The angle YAP₂ is:</u>
- arctan (1/√3) = 30°
<u>The distance AY is:</u>
- AY = AP₂ cos 30° = 5*√3/2
<u>The distance from the x-axis to the point Y is:</u>
- 5√3/2 + 2, added the y- intercept of the graphed lines
<u>The coordinates of the point Y:</u>
- (0, 5√3/2 + 2)
