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ycow [4]
3 years ago
6

HELP HELP HELP plsssdss

Mathematics
1 answer:
Marrrta [24]3 years ago
5 0

Answer:

the lines are perpindicular

Step-by-step explanation:

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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
8x-29 + 6x-11 + 3x-1 solve for x
elena-s [515]

Answer:

Step-by-step explanation:

I need help on this too.

5 0
3 years ago
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Find the oth term of the geometric sequence 9, -27, 81, ...
Novosadov [1.4K]
It would b 9 x (-3^(x-1))
6 0
2 years ago
If 6 people want to share a 30 pound bag of beans equally by weight how many pounds of beans should each person get? Between wha
sertanlavr [38]

Answer:

The 6 people would each get 5lb. of beans. 5 lies between 4 and 6.

Step-by-step explanation:

To get the answer to this problem, all you have to do is divide the total pounds of beans by how many people there are. 30 ÷ 6= 5, so each person would get 5 pounds. Since 5 comes between 4 & 6, you can use that as your answer.

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3 years ago
Is 5.67 A)rational B)Irrational C)whole D) natural E)integer
Alexxx [7]
Rational it stops and repeats
5 0
2 years ago
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