Triangle inequality rule states that the sum of eachpair of sides must be greater than the third sides.
240 + 123 > 207 true
240 + 207 > 123 true
123 + 207 > 240 true
A = √(s(s-a)(s-b)(s-c))
s is the semi-perimeter (a + b + c)/2
s = (240 + 123 + 207)/2
s = 285
A = √(285*(285-249)(285-123)(285-207))
A = 12,730 units^2
Answer:
y = 2x + 12
Step-by-step explanation:
Get the standard form equation into y = mx + b form.
Then, use the recipricol of the m value to get the slope for the perpendicular line.
Then, plug in the point and solve for the b value.
Work :
y = -1/2x-5/4
Perpendicular line slope : 2
y = 2x + b
-4 = 2(-8) + b
-4 = -16 + b
b = 12
y = 2x + 12
Answer:
16 Weeks.
Step-by-step explanation:
1050 - 150 = 900.
900 divided by 55 = 16.3.
Round down, because 3 is less than 5.
Therefore, Johnny can spend $55 each week for 16 weeks and have at least $150 left in his account.
Hope this helps.
Answer:
1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2
Step-by-step explanation:
If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.
So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.
Answer: ellipse
Step-by-step explanation: