When you simply the expression it’s 16
Answer:
<em>k = - 7.5 </em>
Step-by-step explanation:
Slope "m" of a line through points
( 
, 
)
( 
, 
)
is m = 
Slopes of perpendicular lines are opposite reciprocal: 
= - 1
~~~~~~~~~~~~~~~
The slope of a line through points (0, 7) and (2, 10)
= 
= 
Slope of perpendicular line through points (3, 5) and (k, 12) is = 
or = 
=
2(k - 3) = - 21
k - 3 = - 10.5
<em>k = - 7.5</em>
Answer:
<em><u>4(10+9) - 40 + 36</u></em>
<em><u>9(5+2) - 45 + 18</u></em>
<em><u>3(12+7) - 36 + 21</u></em>
Answer:
y=7x-188
Step-by-step explanation:
We know that this line must have a slope of 7, because this line is parallel to y=7x+13
We must use the point slope formula: y-= m(x-)
Next, we will plug in the point (28,8) for and , and 7 in for m
y-8=7(x-28)
Solve the equation, first by distributing the 7
y-8=7x-196
Add the 8 over
y=7x-188
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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