Answer:
Step-by-step explanation:
Given
Required
Remove the h component
In a function, the h component is highlighted as:
So, we have:
Split the exponents using the following law of indices:
<em>The h component has been removed</em>
Split the exponent using the following law of indices
So, we have:
Express 4^2 as 16
Divide 16 by 2
Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
y=-8/5x+4
Step-by-step explanation:
The slope of perpendicular lines is the opposite reciprocal of the original equation.
To get the opposite reciprocal, flip the fraction and use the opposite sign.
Here, the slope is -8/5 because that is the opposite of 5/8.
To get the equation of the line, use point-slope and then distribute to get the equation in y=mx+b format.
Point slope: y-y1=m(x-x1). Use the coordinate (5,-4) in the equation.
y+4=-8/5(x-5)
Multiply (x-5) by -8/5 and simplify.
y+4=-8/5x+8
y=-8/5x+4
Answer: 8
Step-by-step explanation: Found the ratio of 6/12, which is 1/2, so I used ?/16, plugged it in.