Answer:
11. O = (-1, 5/2); 12. H = (1,4)
Step-by-step explanation:
11. Circumcentre
Your points form the vertices of a right triangle (see image below).
The circumcentre (O) of a right triangle must be at the midpoint of the hypotenuse.
Your hypotenuse has the ends at (-3,4) and (1,1), so
O = ((-3 + 1)/2),(4 + 1)/2))
O = (-2/2,5/2)
O = (-1, 5/2)
===============
12. Orthocentre
The orthocentre (H) of a right triangle is the vertex at the right angle.
Your right angle is at (1, 4), so
H= (1,4)
Answer:
False
Step-by-step explanation:
Well it's True in a way, but they didn't simplify all the way. Correct simplification would be 1/3
Answer:
<h3>120 different ways</h3>
Step-by-step explanation:
Using the combination formula as shown;
nCr = n!/(n-r)!r!
If a stack of 10 different cards are shuffled and spread out face down. If 3 cards are turned face up, the number of different ways 3cards combinations are possible is expressed as;
10C3 = 10!/(10-3)!3!
10C3 = 10!/(7)!3!
10C3 = 10*9*8*7!/7!*3*2
10C3 = 10*9*8/3*2
10C3 = 720/6
10C3 = 120 different ways
Hence there are 120 different card combinations
Given:
Cost of bracelet without charm - $85
cost of each charm - $15
Function notation: f(x) = 15x + 85
The price of the bracelet depends on the number of charms they will buy. x represents the number of charms they will buy.
The reasonable domain for this function is at least 1. They must buy at least 1 charm because they intend to buy their mom a silver charm bracelet.
If their budget is 250
250 = 15x + 85
250 - 85 = 15x
165 = 15x
165/15 = x
11 = x
They can buy at most 11 charms without going beyond their budget.
Answer:
x < -4
Step-by-step explanation:
Step 1: Write inequality
-4x + 5 > 21
Step 2: Solve for <em>x</em>
- <u>Subtract 5 on both sides:</u> -4x > 16
- <u>Divide both sides by -4:</u> x < -4
