The angle of YWZ is equal to the angle of YWX, and angle WYX is also a right angle due to the congruency of segments WZ and WX.
Every triangle has an angle total of 180 degrees, so angle WXY is equal to
180 - (WYX + YWX)
180 - (90 + 17)
73
Angle WXY has an angle value of 73 degrees.
The rate of change in z at (4,9) as we change x but hold y fixed is =
3/[2sqrt(3x+2y)] put x = 4 , y = 9 = 3/[2sqrt(12+18) = 3/[2sqrt(30)] The
rate of change in z at (4,9) as we change y but hold x fixed is =
1/sqrt(3x+2y) put x = 4, y =9 = 1/sqrt(30)
Answer:
A) 10,560 ft. B) 32 more laps.
Step-by-step explanation:
A) Four laps around a track is equal to one mile, and there are 5,280 feet in one mile. If Roger ran eight laps, he ran two miles. Therefore: 5,280 ft. times 2, is equal to 10,560 ft.
B) We know that Roger ran two miles Monday. We also know that four laps around a track is equal to one mile. In order to run 10 miles, he would have to run 40 laps, and since he already ran 8, we can subtract that from 40. You are left with 32 more laps.
23(x)-85
Substitute 12 for x
23(12)-85
276-85
191<span />
Answer:
-11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
x² + 9x + 3
x = -2
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: (-2)² + 9(-2) + 3
- Exponents: 4 + 9(-2) + 3
- Multiply: 4 - 18 + 3
- Subtract: -14 + 3
- Add: -11
