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Marina86 [1]
2 years ago
14

Line segment PQ, with endpoints graphed on a coordinate grid at P(2,-2) and Q(5,-2) is translated four units to the left and two

units up. What length of the transformed line segment?
Mathematics
1 answer:
Oxana [17]2 years ago
5 0

Answer: 3

Step-by-step explanation:

We know that since a translation is a rigid motion, and that rigid motions preserve distance, the length of the transformed segment is the same as the given line segment.

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Linda has d dollars in an account that pays 1.4% interest, compounded weekly. She withdraws w dollars. Express her first week’s
Fittoniya [83]

Answer:

If the 1.4% rate of interest is the weekly rate of interest, Then, total first week interest = 1.4(d - w)/100 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate of interest compounded weekly, then her total first week interest = 7(d - w)/2600 = 0.00269 (d - w)

Step-by-step explanation:

The interest, I = PRT

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/week

T = time = 1 week

If the 1.4% rate of interest is the weekly rate of interest

I = PRT = (d - w) × 0.014 × 1 = 0.014(d - w)

But if the 1.4% rate of interest is a yearly rate if interest compounded weekly,

P = initial amount of dollars in account = (deposit - withdrawal) = (d - w)

R = rate of interest = 1.4% = 0.014/year

T = time = 1 week = (1/52) years

I = PRT = (d - w) × 0.014 × (1/52) = 7(d - w)/2600 = 0.00269 (d - w)

Hope this Helps!!!

7 0
4 years ago
Read 2 more answers
Two congruent solids S1 and S2 have the property that S1∩S2 is a right triangular prism with height 3 and a base that is an equi
erastova [34]

Answer:

S1=9.905 cubic units

Step-by-step explanation:

As the two solids are congruent it can be said that they have the same angles and the same lengths then their volume is equal and therefore S1= S2 then S1∪S2= S1+S2- S1∩S2 = S1+S1- S1∩S2 =2S1- S1∩S2 =25.

Now, S1∩ S2= Prism volume= (Area of triangle (A)*Height(h)), the area of the equilateral triangle that is the base of the prism is given by A=√3/4*(length Lateral) ^2= A=√3/4*(2^2 )=√3 square units .

Then S1∩ S2=A*h =√3*3=5. 19 cubic units .

Finally you have

2S1- S1∩S2 =25

2S1-5. 19=25 clearing s1 you have

S1=(25-5. 19)/2 = 9. 905 cubic units

5 0
3 years ago
A 120$ coat was on sale for 88$. What was the percent of change in the price of this coat.
Alexeev081 [22]

Answer: about 73 %

Step-by-step explanation:

because 88 of 120 is about 73 %

7 0
3 years ago
Read 2 more answers
9.
Basile [38]
Squirrel = 4/15 = 16/60
16 miles per hour
Fox = 21/30 = 42/60
42 miles per hour
42-16 = 26 miles per hour

Solution: Fox; 26 miles per hour faster
4 0
3 years ago
Solve |x+1| + 7 = 31
MakcuM [25]

Answer:

x1=-25,x2=23

Step-by-step explanation: hope it helps :)

5 0
3 years ago
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