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fgiga [73]
3 years ago
6

The point D(-3, 1) is reflected over the x-axis. What are the coordinates of the resulting point, D′?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
6 0

Answer:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Step-by-step explanation:

For example, when point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (5,-4).

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If sum of first 6 digits of AP is 36 and that of the first 16 terms is 255,then find the sum of first ten terms.
Cloud [144]

Answer:

100

Step-by-step explanation:

We have the sum of first n terms of an AP,

Sn = n/2 [2a+(n−1)d]

Given,

36= 6/2 [2a+(6−1)d]

12=2a+5d ---------(1)

256= 16/2 [2a+(16−1)d]

32=2a+15d ---------(2)

Subtracting, (1) from (2)

32−12=2a+15d−(2a+5d)

20=10d ⟹d=2

Substituting for d in (1),

12=2a+5(2)=2(a+5)

6=a+5 ⟹a=1

∴ The sum of first 10 terms of an AP,

S10 = 10/2 [2(1)+(10−1)2]

S10 =5[2+18]

S10 =100

This is the sum of the first 10 terms.

Hope it will help.

4 0
3 years ago
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A triangle has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. Is it a right triangle?
ycow [4]

Answer:

Yes it is!

Step-by-step explanation:

If you want to know whether it is, use the pytheoream theory. a2+b2=c2

a is the shortest side, b is the second longest and c is the longest.

In this case, the equation will be:

8 sq + 15 sq = 17 sq

64 + 225 = 289

= It is a right-angled triangle!

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Answer: Square

Step-by-step explanation:

A cross section cut parallel to a base will be the same shape as the base itself, and the base of a cube is a square. :)

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2 years ago
Elapsed time is the sum of the time an event starts and the time it ends.<br><br><br> True False
Alex777 [14]

Answer:

True

Step-by-step explanation:

5 0
3 years ago
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