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3 years ago

A, B, C, and D have the coordinates (-8,1), (-2,4), (-3, -1), and (-6,5) respectively. which sentence about the points is true?

Mathematics

1 answer:

Trava [24]3 years ago

6 0

Answer:

Option B is correct.

Step-by-step explanation:

To check if the lines are parallel or perpendicular, we need to find the slope of lines AB and CD

A=(-8,1), B= (-2,4), C= (-3, -1), and D= (-6,5)

Slope of AB = y₂-y₁/x₂-x₁

Slope of AB = 4-1/-2-(-8)

Slope of AB = 3/-2+8

Slope of AB = 3/6

Slope of AB = 1/2

Slope of CD = y₂-y₁/x₂-x₁

Slope of CD = 5+1/-6-(-3)

Slope of CD = 6/-6+3

Slope of CD = 6/-3

Slope of CD = -2

Lines are parallel if Slope of AB = Slope of CD

Lines are perpendicular if Slope of Ab = -1/Slope of CD

So, Slope of AB = 1/2

Slope of CD = -2

So, LINE AB AND LINE CD ARE PERPENDICULAR

Option B is correct.

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Write a system of equations to describe the situation below, solve using elimination, and fill in

Andrej [43]

Answer: Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations. Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

Rearrange the second equation to isolate one of the variables. I'll pick C:

24C + 26A = $102

C = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3 [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1 [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday: 16C + 42A = $142

Tuesday: 24C + 26A = $102

---

Monday: 16*(1) + 42*(3) = $142 ? YES

Tuesday: 24*(1) + 26*(3) = $102 ? YES

<u>Child is $1 and Adult is $3, per person.</u>

6 0

2 years ago

69632 + 69469 - 59303

Gala2k [10]

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

3 0

3 years ago

Read 2 more answers

Systems Of Elimination(PLZ HELP BEST ANSWER=Brainliest)<br><br><br> x+2y=2<br> -x+3y=13

joja [24]

<span>x + 2y = 2
-x + 3y = 13

As the x-terms of these equations are already opposites, you can begin to solve by elimination by adding the equations together.

</span> x + 2y = 2
-x + 3y = 13
+___________
0 + 5y = 15
y = 3

Now that you have y, substitute its value, 3, into either equation to find x.

x + 2y = 2
x + 2(3) = 2
x + 6 = 2
x = -4

Lastly, check all work by substituting both x- and y-values into both original equations.

x + 2y = 2
-4 + 2(3) = 2
-4 + 6 = 2
2 = 2

-x + 3y = 13
-(-4) + 3(3) = 13
4 + 3(3) = 13
4 + 9 = 13
13 = 13

Answer:
x = -4
y = 3

(-4, 3)

6 0

3 years ago

Read 2 more answers

Help would be much appreciated :)

makkiz [27]

Answer:

x = - 9

Step-by-step explanation:

<u>In order to find the vertical asymptotes make the denominator equal to zero and solve:</u>

2x + 18 = 0
2x = - 18
x = - 9

There is one vertical asymptote since the denominator is linear expression

6 0

2 years ago

Solve: x - 1 (x - 1)² + ax - a.

borishaifa [10]

Step-by-step explanation:

<h2><u>Given :-</u></h2>

x-1-(x-1)²+ax-a

Factorize the expression ?

<h2><u>Solution :-</u></h2>

Given expression is x-1-(x-1)²+ax-a

It can be written as

(x-1)-(x-1)²+(ax-a)

=> (x-1)-(x-1)(x-1)+a(x-1)

=> (x-1)[1-(x-1)+a]

=> (x-1)(1-x+1+a)

=> (x-1)(2-x+a)

<h2><u>Answer:-</u></h2>

x-1-(x-1)²+ax-a = (x-1)(2-x+a)

Hope this helps!!

4 0

3 years ago