Answer:
y = 6x - 20
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 6, thus
y = 6x + c ← is the partial equation
To find c substitute (4, 4) into the partial equation
4 = 24 + c ⇒ c = 4 - 24 = - 20
y = 6x - 20 ← equation of line
6(2x-11)+15=3x+12 Given
12x-66+15=3x+12 Distribution
12x-51=3x+12 Combine like terms
12x=3x+63 addition
9x=63 subtraction
x=7 division
the value of x that makes the equation true is 7.
Answer:
12.1
Step-by-step explanation:
The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.
The base of the triangle is
x₂ - x₁ = 2 - (-3) = 2+ 3 = 5
The height of the triangle is
y₂ - y₁ = 16 - 5 = 11
We can now use Pythagoras' theorem to calculate distance between the two midpoints.
x² = 5² + 11² = 25 + 121 = 146
x = √146 =
12.1
The distance between M₁ and M₂ is 12.1.
1.2/5
2.1/30
3.4/5 of 45 minutes is 36 minutes
4.7/10
5.3/14
6.12/30
7.1/2
8.5/16
9.3/12
3.3/20
Answer:
1.01 minutes
Step-by-step explanation:
The length of the roll is given to be 304 ft, and Bob's velocity is 5ft/s.
Velocity is defined as the rate of change of displacement over time t:

The function can be expressed to make t the subject to calculate time taken by Bob;

Hence, it takes Bob 1.01 minutes to walk the length of the roll.