The way to figure this one out is move the 81 over to the other side so you have the equation 16x^4 = 81. Since 81 is not divisible by 16 you have to think of another way to simplify. 16 is a perfect square, x^4 is a perfect square, and 81 is a perfect square. So take the square root of both sides to begin the simplification. 4x^2 = 9. Divide both sides by 4 to get x^2 = 9/4. 9 and 4 are both perfect squares, so undo the square on the x by taking the square root of both sides: x = +/- 3/2.
Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².
Answer:
area of a 1st
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
To find the mean, add all the numbers together and divide by the amount of numbers there are.
(3 + 3 + 4 + 4 + 8 + 8 + 8 + 10 + 12 + 20)/10 = answer
Simplify. First, solve the parenthesis, then divide.
(80)/10 = answer
8 = answer
8 is the mean of the data set.
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Answer:
Step-by-step explanation:
-x + 2y = 6
y = 1/2x + 3
sub 1/2x + 3 in for y, back into the first equation
-x + 2(1/2x + 3) = 6 ....distribute thru the parenthesis
-x + x + 6 = 6
6 = 6
The solution to this equation is infinite solutions