16*X² +81
The answer is 3
(4x+9i)(4x−9i) = (4x+9i)*4x -9i((4x+9i)) = 16x2 +36i -36i -81i2 = 16x² -81(-1)
= 16x² +81
Original line equation: y=-4x+4
Perpendicular lines have opposite reciprocals, so the slope of the perpendicular line would be 1/4x.
Perpendicular line equation: y=1/4x+b
Plug in the coordinates that the line passes through to solve for b. Plug -8 in for x and 2 in for y.
2=1/4(-8)+b
Multiply.
2=-2+b
Add 2 to both sides.
4=b
Equation of the perpendicular line: y=1/4x+4
Hope this helps! :)
Answer:
you can make 14 muffins
Step-by-step explanation:
To get this answer you first need to know that 1 cup makes 8 muffins. Next know that there's 1 3/4 cups of flour. Because you know that 1 cup makes 8 muffins you need to figure out how many muffins 3/4 a cup of flour can make. To do this you divide 8 by 4. Hence 8 divided by 4 is 2. So know you know that for every 1/4 cup you can make 2 muffins. Now since there's 3/4 cup of flour you then multiply 2 by 3 which is 6. Now you have to add 1 cup ( 8 muffins) to 3/4 cup ( 6 muffins ) of flour which then equals 14. You then get the answer , 1 3/4 cups of flour can make 14 muffins. Hope this helped ;)
<h3>Answer: 104 degrees</h3>
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Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc BCD = 2*(angle A)
arc BCD = 2*(97)
arc BCD = 194 degrees
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Break arc BCD into its smaller pieces
arc BCD = (minor arc BC) + (minor arc CD)
194 = (90) + (minor arc CD)
194-90 = minor arc CD
104 = minor arc CD
<h3>minor arc CD = 104 degrees</h3>