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Fudgin [204]
3 years ago
9

Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?

Mathematics
2 answers:
Rudik [331]3 years ago
8 0
Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0


Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!
Basile [38]3 years ago
3 0

Answer: d- (1,0)

Step-by-step explanation:

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2 years ago
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PLEASE HELP ASAP!! VERY IMPORTANT!!!
erica [24]
It is c I think I'm not positive but Ive done this one
7 0
3 years ago
A and B are independent events. P(A) = 0.50 P(B) = 0.30 What is P(A/B)? a. not enough information. b. 0.30 c. 0.50 d. 0.15
Gala2k [10]

Answer:

0.50

Step-by-step explanation:

P(A|B)=P(A and B)/P(B) is the formula to find a conditional probability when A and B are not independent.

A and B are independent. This means B has no effect of A. This means P(A|B)=P(A).

P(A|B)=P(A) since A and B are independent

P(A|B)=0.50

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3 years ago
Is this correct? helppp​
Marta_Voda [28]

Answer:

Yes its correct the unhighlighted is complement

8 0
3 years ago
Read 2 more answers
Nora got an allowance of 50¢ each weekday and 75¢ each weekend altogether how much do they get in:
Furkat [3]
A) > since it is 50c per weekday and 75c each weekend assuming it allows for the 2 days each saturday/sunday.
50c * 5 = $2.50 since there are 5 days in weekdays
75c * 2 = $1.50 since there are 2 days in the weekend
Add $2.50 and $1.50 to get $4.00

b) For 3 school days we know it is a weekday on the school week.
So perform 50c * 3 which gives us <span>$1.50

</span>c) 12 days off from school is 10 weekdays and 1 weekend or 2 days of 75c
So now just do 50c * 10 which is $5.00 and 75c * 2 which is $1.50
Add $5.00 and $1.50 and we get $6.50

d) 4 weeks = 20 weekdays since 5 *4 = 20 and 8 days in each weekend since 2 * 4 = 8
Now that we have the amount of weekdays and weekend days we can multiply.
50c * 20 = $10.00
75c * 4 = $3.00
Add $10.00 and $3.00 to get $13.00 for 4 weeks.

e) We have 1 day of the weekend and 2 weekdays here.
50c * 2 = $1.00
75c * 1 = 75c
<span>$1.00 + 75c = $1.75 in those 3 days listed.
</span>
Add all these together to get your total value.
$4.00 + $1.50 + $6.50 + $13.00 + $1.75 = $26.75

7 0
3 years ago
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