Answer:
Part 1) The rate of change is 
Part 2) The initial value is 
Step-by-step explanation:
we know that
The linear equation in slope intercept form is equal to
where
m is the slope or rate of change
b is the y-intercept or initial value
step 1
Find the slope or rate of change
The formula to calculate the slope between two points is equal to
we have the points
(3,13) and (6,14)
substitute the values in the formula
therefore
The rate of change is
step 2
Find the initial value
we have
substitute in the equation
solve for b
---> initial value
The linear equation is equal to
The y-intercept or initial value is 12
Answer:
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The correct option for this question would be 50 degrees
Step-by-step explanation:
- sinx+sin(x+4x) =cot2x
- sinx+sinx cos4x+cosx sin4x=cot2x
sinx+sinx cos4x=sinx (1+cos4x) =
sinx (1-1+2(cos2x)^2) =2sinx (cos2x)^2
sin4x=2sin2xcos2x
2sinx(cos2x)^2+cosx+2sin2xcos2x=cot2x
2sinxcos2x(cos2x+2(cosx)^2)=cot2x
but 2(cosx)^2=cos2x+1
2sinxcos2x(cos2x+cos2x+1)=cos2x/sin2x
(2sinxsin2x)(2cos2x+1) =1
(4cosx(sinx)^2)(2cos2x+1) =1
Answer:
V = 3
Step-by-step explanation:
<u><em>Given:</em></u>
<em>Perimeter of the pentagon is 52 units.</em>
<em>Solve for value of v.</em>
<u>Solve:</u>
<em>Let first put it into a equation base on the given;</em>
<em>6v + 8 + 8 + 3v + 1 + v + 5 = 52</em>
<em>Add the numbers</em>
<em>6v + 22 + 3v + v = 52</em>
<em>Combine like terms</em>
<em>10v + 22 = 52</em>
<em>Subtract 22 from both sides</em>
<em>10v + 22 - 22 = 52 - 22</em>
<em>Simplify</em>
<em>10v = 30</em>
<em>Divide both sides by 10</em>
<em>10v/10 = 30/10</em>
<em>Simplify</em>
<em>v = 3 </em>
<em>Check Answer:</em>
<em>6(3) + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 8 + 8 + 3(3) + 1 + (3) + 5 </em>
<em>18 + 16 + 9 + 1 + 8</em>
<em>18 + 16 + 9 + 9</em>
<em>18 + 16 + 18</em>
<em>36 + 16</em>
<em>52</em>
<em>Hence, v = 3</em>
For more information:
brainly.com/question/18640399
<u><em>Kavinsky</em></u>
