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Nataly [62]
3 years ago
11

How do you write 7,380 in scientific notation

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

7.38 * 10^3

Hope it helps :)

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He vertices of square pqrs are p -4,0 q 4,3 r 7,-5 and s -1,-18.Show that the diagonals of square pqrs are congruent perpendicul
Anit [1.1K]

Answer:

Step-by-step explanation:

The vertices of the square given are P(-4, 0), Q(4, 3), R(7, -5) and, S(-1, -18)

For this diagonal to be right angle the slope of the diagonal must be m1=-1/m2

So let find the slope of diagonal 1

The two points are P and R

P(-4, 0), R(7, -5)

Slope is given as

m1=∆y/∆x

m1=(y2-y1)/(x2-x1)

m1=-5-0/7--4

m1=-5/7+4

m1=-5/11

Slope of the second diagonal

Which is Q and S

Q(4, 3), S(-1, -18)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-18-3)/(-1-4)

m2=-21/-5

m2=21/5

So, slope of diagonal 1 is not equal to slope two

This shows that the diagonal of the square are not diagonal.

But the diagonal of a square should be perpendicular, this shows that this is not a square, let prove that with distance between two points

Given two points

(x1,y1) and (x2,y2)

Distance between the two points is

D=√(y2-y1)²+(x2-x1)²

For line PQ

P(-4, 0), Q(4, 3)

PQ=√(3-0)²+(4--4)²

PQ=√(3)²+(4+4)²

PQ=√9+8²

PQ=√9+64

PQ=√73

Also let fine RS

R(7, -5) and, S(-1, -18)

RS=√(-18--5)+(-1-7)

RS=√(-18+5)²+(-1-7)²

RS=√(-13)²+(-8)²

RS=√169+64

RS=√233

Since RS is not equal to PQ then this is not a square, a square is suppose to have equal sides

But I suspect one of the vertices is wrong, vertices S it should have been (-1,-8) and not (-1,-18)

So using S(-1,-8)

Let apply this to the slope

Q(4, 3), S(-1, -8)

m2=∆y/∆x

m2=(y2-y1)/(x2-x1)

m2=(-8-3)/(-1-4)

m2=-11/-5

m2=11/5

Now,

Let find the negative reciprocal of m2

Reciprocal of m2 is 5/11

Then negative of it is -5/11

Which is equal to m1

Then, the square diagonal is perpendicular

6 0
3 years ago
Natalie uses a 15% off coupon when she buys a camera. The original price of the camera is $45.00. How much money does Natalie sa
Contact [7]

Answer:

6.75

Step-by-step explanation:

First, I just gave you the answer.

Second, just use it.

4 0
2 years ago
What is 035.584 rounded to the nearest half
Novay_Z [31]
It should be 35.5 now I gotta reach 20 characters
3 0
2 years ago
Read 2 more answers
The sum of two numbers is 58 and the difference is 6. what are the numbers: ?
Vinil7 [7]

Answer:

Larger number: 32

Smaller number: 26

Explanation:

58 - 6 = 52

52/2 = 26

26+6=32 Larger number

26 smaller number

6 0
2 years ago
4. Peter participated in a 5 K race and finished the race in 17 min. A 5k race is
juin [17]

Answer: are you sure these are correct?

Step-by-step explanation:

You would calculate the speed be doing 5000 m / 17 min, which would be 294.117647059 m/min

17 minutes is extremely fast, but this is correct.

4 0
3 years ago
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