Answer:
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Answer: 
Step-by-step explanation:
We need -9x on the left side, to move it, we must add 9x on both sides.
Done. We have Ax = 9x, By = 1y and C after the equal sign = -6
Answer:
- width -- 10 ft
- length -- 35 ft
Step-by-step explanation:
We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.
The area is the product of length and width, so is ...
A = (3x +5)(x) = 3x^2 +5x
To make the area 350, we can find the value of x from ...
3x^2 +5x = 350
This can be solved a number of ways. One of them is "completing the square".
3(x^2 +5/3x) = 350
We choose to divide by 3 and add the square of half the x-coefficient.
x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2
(x +5/6)^2 = 4225/36 . . . . simplify
x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root
x = 10 or -11 2/3 . . . . subtract 5/6
The positive solution is the one of interest: x = 10.
The driveway is 10 ft wide and 35 ft long.
A time-series plot is a graphical representation in which the measure of time is expressed on the x-axis and what is to be measured is represented on the y-axis.
A time-series plot also known as a line chart helps to depict data from any event that has been gathered in a time sequence.
- It is usually represented on a graph where the measure of time is expressed on the x-axis and what is to be measured is represented on the y-axis. It is also used for the visualization of trends and patterns. e.g seasonal changes in climate.
Learn more about the time-series plot here:
brainly.com/question/17014289
Answer:
The measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
Step-by-step explanation:
Here, the diameter of the circle = 6 m
Diameter = 2 x RADIUS
So, radius = D / 2 = 6 / 2 = 3 m
Also, the length of the arc = ( 
) meters
Putting π = 3.14, we get
The length S of the arc = 
or, S = 7.85 m
Let us assume the arc subtends angle Ф at the center of the circle.
⇒ S = r Ф
or, Ф = 
⇒Ф = 2.61 radians
Now, 1 Radian = 57.2958 Degrees
⇒ 2. 62 Radian = 2.61 x ( 57.2958 Degrees) = 149.542 °
or, Ф = 149.542°
Hence, the measurement of the angle subtended by an arc with a length of 5/2 pi meters is 149.542°
