Answer:
<u>Slope = 3</u>
Step-by-step explanation:
Slope is calculated as the "Rise/Run" of a straight line. The Rise is the change in the value of y, or the amount y changes per change in x. Run is the change in the x value. A line with a run of 3 and a rise of 9 is calculated as:
Rise/Run = 9/3 or 3
This means that the value of y will increase by 3 for every increase of 1 in the value of 3.
Slope in "m" in the slope-intercept form of a straight line equation: y = mx + b
The line y = 3x + 2 tells us the it has a slope of 3 and intercepts the y axis at x = 2.
Example points (y = 3x + 2)
(0,2)
(1,5)
(4,14)
Note that y changes by 12 when x changes by 4. Rise/Run = 12/4 or 3.
Answer:
Angle 1 = 46°
Angle 2 = 44°
Step-by-step explanation:
Given:
Angle 1 = (4x - 2)°
Angle 2 = (3x + 8)°
Angle 3 = 90°
Find:
All acute angle
Computation:
Using angle sum property
Angle 1 + Angle 1 + Angle 1 = 180°
(4x - 2)° + (3x + 8)° + 90° = 180°
7x + 6 = 90
7x = 84
x = 12°
So,
Angle 1 = (4x - 2)° = 4(12) - 2 = 46°
Angle 2 = (3x + 8)° = 3(12) + 8 = 44°
The 9 is in the tenths place.
Answer:
3 hours
Step-by-step explanation:
369 divided by (58+65)
Answer:
The sum of the arithmetic series is 2717.
Step-by-step explanation:
The sum of an arithmetic sequence is given by:
Where <em>k</em> is the number of terms, <em>a</em> is the initial term, and <em>x</em>_<em>k</em> is the last term.
There are 22 terms, the first term is 7, and the last term is 240. Hence, the sum is:
In conclusion, the sum of the arithmetic series is 2717.
