Answer:
11
Step-by-step explanation:
1/5 x^2y - 1 2/3 y^2 x + 4 4/5 yx^2 - 1/3 xy^2
I will write the x and y terms in order for x and y
1/5 x^2y - 1 2/3 xy^2 + 4 4/5 x^2y - 1/3 xy^2
This way I can put the like terms together
1/5 x^2y + 4 4/5 x^2y- 1 2/3 xy^2 - 1/3 xy^2
Combine like terms
(1/5 + 4 4/5) x^2y - (1 2/3 + 1/3) xy^2
5 x^2 y - 2 xy^2
We know x =-2 and y = 1/2
5 ( -2)^2 (1/2) -2(-2) (1/2)^2
Calculating the powers first
5(4) (1/2) - 2(-2) (1/4)
10 - (-1)
10+1
11
The right angled triangle is missing, so i have attached it.
Answer:
Proved below
Step-by-step explanation:
From the attached image, we can see that QP is parallel to BC.
Now, looking at triangles AQP and ABC, we can see that;
∠ AQP = ∠ ABC
Also;
∠ APQ = ∠ ACB
This means that triangles ABC and AQP are similar.
We are told that P is the mid-point of AC.
Thus; AP = PC
We can now say that;
AP:AC = 1:2 and AQ:AB = 1:2
Since AQ:AB = 1:2, it means Q is the midpoint of AB.
Now, ∠ AQP = ∠ BQP
However, according to SAS congruence test, AQP is congruent to BQP.
Thus; AP = BP = CP
Since AP:AC = 1:2 as we saw earlier, then;
BP:AC = 1:2
Thus:
BP/AC = ½
BP = ½AC
Answer:
The system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Step-by-step explanation:
As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:
x+y≥10
Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:
6x+4y≤50
The answer is that the system of inequalities that represents this situation is:
x+y≥10
6x+4y≤50
Answer
x=3 or (3,0) and if you need it y=-2x+3
Step-by-step explanation:
I'm not very good at explaining things, sorry
