We want v alone, so subtract w from both sides to move it over
This leaves 5/9 v = z - w
Next, eliminate the fraction multiplying v by multiplying both sides by its reciprocal
The reciprocal of 5/9 is 9/5
(5/9) × (9/5) cancel each other, leaving v isolated on the left
The right-hand side becomes 9/5 (z - w)
Combine to get:
v = 9/5 (z - w)
There you go!:D
Answer:
The provided radical equation has no solution.
x = 225/16 is not a valid solution.
Step-by-step explanation:
The given equation is
Add 3 to both sides of the equation
Squaring both sides
Divide both sides by 16
Check by substituting the value of x back into the original equation to confirm the extraneous solution.
Since -18 is not equal to 12, thus the value of x fails to satisfy the equation.
Consequently, x = 225/16 is an extraneous solution.
Step-by-step explanation:
Response:
first option
Detailed explanation:
The equation expressing a proportional relationship is
y = kx ← with k as the proportional constant
Here k takes the value of 0.7, hence
y = 0.7x ← represents the required equation
Given
= 
(cross-multiply)
10y = 7x (dividing both sides by 10)
y = x = 0.7 x ← emerges as the needed equation
The complete question reads:
Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements
might accurately describe Peter's drawing?
I. AC and AP are parallel.
II. PAC represents an angle.
III. AC and AP are at right angles.
A. I and II
B. II and III
C. I and III
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We know Peter has drawn rays AC and AP.
Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.
This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.
Thus, the valid statements that characterize his drawing are: II & III.
