Answer:
(x + 7)² + (y - 1)² = 64
Step-by-step explanation:
Use the equation of a circle, (x - h)² + (y - k)² = r²
Plug in the point and center, then solve for r:
(x - h)² + (y - k)² = r²
(-7 + 7)² + (9 - 1)² = r²
0 + 64 = r²
64 = r²
8 = r
Then, plug in the center and r² into the equation:
(x + 7)² + (y - 1)² = 64
So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation
Okkk
Step-by-step explanation:
1. 5(1+9v)=5+5x9v=5+(5x9v)=5+45v
2.(20:4/12:4)=4(5b+3)
Steps to solve:
y + 8 = -11
~Subtract 8 to both sides
y = -19
Best of Luck!
Answer:
Yes. Suri and Juan can make the same amount of wages by working 25 hours in one week.
Step-by-step explanation:
Let each of them work x hours per week.
Suri makes $15 per hour, so in x hours Suri will make $ 15x. The total wages per week for Suri will be:
Total Wages = y = 15x + Bonus = 15x + 25
Juan makes $14 per hour, so in x hours Juan will make $ 14x. The total wages per week for Juan will be:
Total Wages = y = 14x + Bonus = 14x + 50
If they will make the same wages, their wages must be equal, i.e.
15x + 25 = 14x + 50
15x - 14x = 50 - 25
x = 25
This result shows us that if Suri and Juan work for 25 hours per week they will make the same amount of wages.
Answer:
-13/84
Step-by-step explanation:
Calculation to Find the exact value of the trigonometric expression
First step is to find tan(u)
Based on the information given we were told that sin(u) = -3/5 which means if will have -3/5 in the 4th quadrant would have triangle 3-4-5
Hence:
tan(u)=-3/4
Second step is to calculate tan(v)
In a situation where cos(v) is 15/17 which means that we would have triangle 8-15-17
Hence:
tan(v) = 8/15
Now Find the exact value of the trigonometric expression using this formula
tan(u+v) = (tan(u) + tan(v))/(1-tan(u)tan(v)
Where,
tan(u)=-3/4
tan(v)=8/15
Let plug in the formula
tan(u+v)=(-3/4)+(8/15)÷[1-(-3/4)(8/15]
tan(u+v)=(-45+32)÷(60-24)
tan(u+v)=-13/84
Therefore exact value of the trigonometric expression will be -13/84
