Miles earned= ((1÷8)×11)÷1
= 1.375 miles
average speed=total distance/total time
=1.375÷3.5=0.3928 miles/min
A * b = 30
a - b = 1
a + b = 11
take ur last 2 equations, and add them
a - b = 1
a + b = 11
--------------add
2a = 12
a = 12/2
a = 6
now its just a matter of subbing
a + b = 11
6 + b = 11
b = 11 - 6
b = 5
so a = 6 and b = 5...whose product is 30, whose difference is 1, and whose sum is 11.
Answer:
Step-by-step explanation:
<u>Let the numbers be x, y and z</u>
- x + y + z = 24
- 2y = z + 2
- z = x + y
<u>Solving by substitution:</u>
- x + y + z = z + z = 24
- 2z = 24
- z = 12
- 2y = z + 2
- 2y = 12 + 2
- 2y = 14
- y = 7
- z = x + y
- x = z - y
- x = 12 - 7 = 5
<u>The answer:</u>
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
a)All points on one line are at the same Collinear points to the other line.
b)The distance between the two lines is called the perpendicular lines.
