Answer:
False! However all equilateral triangles are acute
Answer:
Step-by-step explanation:
We need to evaluate 
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
= 
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)
=
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
Answer:
Mean: 65.25
Median: 70.5
Mode: 70
Step-by-step explanation:
Mean is the sum of the set of numbers divided by the number of numbers in the set.
20+68+70+70+71+72+75+76=522
522/8=65.25
The median is the number that is in the middle of the set when put in numerical order.
Since there is an even amount of numbers, the two middle numbers are 70 and 71, so you would take the mean of these two numbers to find the median.
70+71=141
141/2=70.5
The mode is the number that occurs most frequently in the set.
70 appears more times than any other number, therefore it is the mode.
The three numbers are 12, 18 and 24
Arithmetic progression
Let the 3 number in arithmetic progression be:
a-d, d, a+d ...
If their sum is 3, then;
a-d+d+a+d = 3
2a + d = 3 ........... 1
If the sum of their squares is 11, then;
(a-d)² + d² + (a+d)² = 11
a²-2ad+d²+d²+a²+2ad+d² 11
2a²+3d² = 11 ....... 2
Solving the equations simultaneously, d = 6 and a = 12
First-term = 12
second term = 18
Thirs term = 24
Hence the three numbers are 12, 18 and 24
Hope this helps you!!!!!! :D
so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)
(7-(-2))/(0-8)
simplify
9/-8
simplify -9/8
now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.
y=mx+b
-2=(-9/8)(8)+b
multiply (-9/8) by 8 to get -9
-2=-9+b
add 9 to both sides
7=b
so our equation is now
y=-(9/8)x+7
