Answer:
-3
Step-by-step explanation:
To find the slope given two points
m = (y2-y1)/(x2-x1)
= (-5-7)/(-4- -8)
= (-12)/(-4+8)
=-12/4
= -3
The distance between starting and ending point is 34 miles.
Step-by-step explanation:
Given,
Car moves 16 miles to north then 30 mile to east.
It forms a right angle triangle.
The straight line distance from starting to ending point represents hypotenuse.
To find the distance between starting and ending point.
Formula
By <em>Pythagoras theorem,</em>
h² = b²+l² where h is the hypotenuse, b is base and l is the another side.
Taking, b=16 and l=30 we get,
h² = 16²+30²
or, h = 
or, h =
= 34
Hence,
The distance between starting and ending point is 34 miles.
Answer:
n = 11
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Equality Properties
- Vertical Angles: Angles that are across from each other and are congruent
Step-by-step explanation:
<u>Step 1: Set up equation</u>
<em>Vertical angles must be congruent.</em>
(6n - 4)° = (5n + 7)°
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 5n on both sides: n - 4 = 7
- Add 4 to both sides: n = 11
The tenths place, starting from the right, it gets higher going to the left. so the tenths place is only ten times greater than it.
Answer:
Below.
Step-by-step explanation:
3 to the 4th is 3x3x3x3 or 81. 5x5=25
81+25=106.