Answer:
its b
Step-by-step explanation:
Answer:
3 (28 n - 9)
Step-by-step explanation:
Simplify the following:
-9 (1 - 10 n) - 2 (3 n + 9)
-9 (1 - 10 n) = 90 n - 9:
90 n - 9 - 2 (3 n + 9)
-2 (3 n + 9) = -6 n - 18:
90 n + -6 n - 18 - 9
Grouping like terms, 90 n - 6 n - 18 - 9 = (90 n - 6 n) + (-9 - 18):
(90 n - 6 n) + (-9 - 18)
90 n - 6 n = 84 n:
84 n + (-9 - 18)
-9 - 18 = -27:
84 n + -27
Factor 3 out of 84 n - 27:
Answer: 3 (28 n - 9)
*Given
Money of Phoebe - 3 times as much as Andy
Money of Andy - 2 times as much as Polly
Total money of Phoebe, - <span>£270
</span> Andy and Polly
*Solution
Let
B - Phoebe's money
A - Andy's money
L - Polly's money
1. The money of the Phoebe, Andy, and Polly, when added together would total <span>£270. Thus,
</span>
B + A + L = <span>£270 (EQUATION 1)
2. Phoebe has three times as much money as Andy and this is expressed as
B = 3A
3. Andy has twice as much money as Polly and this is expressed as
A = 2L</span> (EQUATION 2)
<span>
4. This means that Phoebe has ____ as much money as Polly,
B = 3A
B = 3 x (2L)
B = 6L </span>(EQUATION 3)<span>
This step allows us to eliminate the variables B and A in EQUATION 1 by expressing the equation in terms of Polly's money only.
5. Substituting B with 6L, and A with 2L, EQUATION 1 becomes,
6L + 2L + L = </span><span>£270
</span> 9L = <span>£270
</span> L = <span>£30
So, Polly has </span><span>£30.
6. Substituting L into EQUATIONS 2 and 3 would give us the values for Andy's money and Phoebe's money, respectively.
</span>
A = 2L
A = 2(£30)
A = £60
Andy has £60
B = 6L
B = 6(£30)
B = £180
Phoebe has £180
Therefore, Polly's money is £30, Andy's is £60, and Phoebe's is £180.
Note that this a right-angled triangle with the right angle at Y.
<span>Use coordinates of the point to find XY and YZ </span>
<span>XY = 21 - (-3) </span>
<span>= 24 </span>
<span>YZ = 4 - (-6) </span>
<span>= 10 </span>
<span>Use Pythagoras theorem to XZ </span>
<span>XZ = sqrt[24^2 + 10^2] </span>
<span>= 26 </span>
<span>Perimeter = 26 + 24 + 10 </span>
<span>= 60</span>
Answer:
Do u need slope?
Step-by-step explanation:
