Determine from the given points of two lines if the lines are parallel, perpendicular, or neither. Enter your answers below. Use a forward slash (i.e. "/') for all fractions (e.g. 1/2 for 1/2 ). o Line a: (3,1) and (8,6) o Line b: (-6,1) and (2,9)​

Determine From The Given Points Of Two Lines If The Lines Are Parallel, Perpendicular, Or Neither. Enter

Answers

Answer 1

Answer:

lines are parallel

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines is - 1

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = 3, 1) and (x₂, y₂ ) = (8, 6)

m = [tex]\frac{6-1}{8-3}[/tex] = [tex]\frac{5}{5}[/tex] = 1 ← slope of line a

Repeat with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (2,9)

m = [tex]\frac{9-1}{2+6}[/tex] = [tex]\frac{8}{8}[/tex] = 1 ← slope of line b

Since both slopes are equal, line a and line b are parallel


Related Questions

what is the missing term?
1. (x+2)^2 = __ +4x+4
2. (2x-3)^2 = 4x^2+__+9y^2
3. (3x+4)^2 = 9x^2 + 24x+__
4. (x-y)^2= __-2xy+y^2
5. (2x+3y)^2 = 4x^2+__+9y^2

Answers

Answer:

see explanation

Step-by-step explanation:

The general expansion of (a + b)² is

(a + b)² = a² + 2ab + b²

Applying this to the following expansions

(1)

(x + 2)² = x² + 2(2x) + 2² = x² + 4x + 4 ← missing term is x²

(2)

(2x - 3)² = (2x)² + 2(2x)(- 3) + 3² = 4x² - 12x +9 ← missing term is - 12x

(3)

(3x + 4)² = (3x)² + 2(3x)(4) + 4² = 9x² + 24x + 16 ← missing term is 16

(4)

(x - y)² = x² + 2(x)(- y) + y² = x² - 2xy + y² ← missing term is x²

(5)

(2x + 3y)² = (2x)² + 2(2x)(3y) + (3y)² = 4x² + 12xy + 9y² ← missing term is + 12xy

Factor and Solve.
x^4-11x^2+18=0

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Last option is the correct answer

x= √2, −√2, 3, −3

Geometry
Please help me with my homework! Thank you!

Answers

Answer:

BC, FG, EH.

Step-by-step explanation:

Brittany will be working full time this summer to save for her goal of having 10,000 by the time she is 21. Brittany has an account of 3.5% interest, compounded monthly. She'll turn 17 at the end of the summer. About how much will Brittany have to deposit so that. Her money can grow into 10,00 by the time she's 21?

Answers

Answer:

$ 8,695.35

Step-by-step explanation:

This is a compound interest question

Amount after t years = A = P(1 + r/n)^nt

Where P = Initial Amount saved

r = interest rate

t = time in years

n = compounding frequency

A = 10,000

r = 3.5 %

t = 21 - 17 = 4 years

n = Compounded monthly = 12

Step 1

Converting R percent to r a decimal

r = R/100 = 3.5%/100 = 0.035 per year.

P = A / (1 + r/n)^nt

Solving our equation:

P = 10000 / ( 1 + (0.035/12)^12 ×4 =

P = $8,695.35

The principal investment required to get a total amount, principal plus interest, of $10,000.00 from interest compounded monthly at a rate of 3.5% per year for 4 years is $8,695.35.

PLEASE ANSWER!
Using the given zero, find one other zero of f(x).
4 - 5i is a zero of f(x).= x4 - 8x3 + 42x2 - 8x + 41.
answers
A)-4 - 5
B)1
C)1-1
D)4 + 5i

Answers

Is the original equation right?

Please help me with all these questions will mark as brainlists

Answers

Answer:

The fourth one Its tell you to add or miners or multiple

Step-by-step explanation:

And then the rest is telling you to explain you answer using your own words.

Please help ASPA thanks

Answers

What is it that you need help with im in Algebra 1

I really need help with this question!!

Answers

X=3 and y=-2 hope this helps

calculate the area of the shaded region at right. use the appropriate units.​

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to do this, you most likely have to multiply that numbers that are probably on the sides of whatever.

HELP ME MANN I HATE MATH

Answers

Answer:

$12 a week

Step-by-step explanation:

If he gets paid $168 for 14 weeks, to find 1 week's worth, divide 168 by 14 to get 12.

Answer:

Don't hate math because math is very important in our lives

Help please It would mean a lot

Answers

the answer is 3/5

if that's not right I apologize

Answer:

3/5

Step-by-step explanation:

When dividing fractions, you change the division sign to multiplication and also flip the fraction that you are multiplying with.

So: 2/4 would become 4/2

3/10 x 4/2

12/20

Highest common factor between 12 and 20 is 4.

Divide both sided by 4:

3/5

If "a" varies directly as "b" and inversely as "c". If a=16 when b=12 and c=6, find "a" when b=28 and c=4. *

Answers

Answer:

When b = 28 and c = 4, then a = 56

Step-by-step explanation:

We need to write the equation first

This is an example of a combined variation

if a varies directly as b and inversely as c;

then a = bk/c

where k is the constant of proportionality

We find k first;

16 = (12 * k)/6

k = (6 * 16)/12 = 8

We now want to find a

a = kb/c

a = (8 * 28)/4 = 7 * 8 = 56

Which expression has a value of 90?

Answers

Can you upload the document please so I can try to assist you

Step 3: 2x > 10 Step 4: x > 5 What property justifies the work between step 3 and step 4? A. division property of inequality B. inverse property of multiplication C. subtraction property of inequality D. transitive property of inequality

Answers

Answer:

A. Division property of inequality.

Step-by-step explanation:

Let be [tex]2\cdot x > 10[/tex], we proceed to show the appropriate procedure to step 4:

1) [tex]2\cdot x >10[/tex] Given

2) [tex]x > 5[/tex] Compatibility with multiplication/Existence of multiplicative inverse/Associative property/Modulative property/Result. (Division property of inequality)

In consequence, the division property of inequality which states that:

[tex]\forall\, a, b, c \in \mathbb{R}[/tex]. If [tex]c > 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c > b\cdot c \,\lor\, a<b \longrightarrow a\cdot c < b\cdot c[/tex]

But if [tex]c < 0[/tex], then:

[tex]a> b\,\longrightarrow a\cdot c < b\cdot c \,\lor\, a<b \longrightarrow a\cdot c > b\cdot c[/tex]

Hence, correct answer is A.

I will give 15 points please help!

Answers

Answer:

b

Step-by-step explanation:

what is the first integer to the left of -6.1 on the number line?

Answers

Answer:   -7

The integer to the right is -6

See the diagram below.

will mark the brainiest.

Answers

Answer:

11.95

i think

Step-by-step explanation:

what am I supposed to do here? I need help

Answers

Answer:

B = 5.5

Step-by-step explanation:

Take 5 to R.H.S,

4b=22,

b=22/2,

b=5.5

A Turtle traveled 1/10 mile in 1/2 hour. What was the turtle’s rate in miles per hour?
A.1/20
B.1/12
C.1/6
D.1/5

Answers

1/5

1/10 / 1/2= 2/10
Then simplify it by 2, it becomes D.1/5

Using the above​ technique, find the equation of the line containing the points (-2,7) (4,-2)

Answers

Equation of a line = y = mx +b

m = slope = change in y over the change in x

b = y intercept:

m = (-2 - 7) / (4 - -2) = -9/6 = -3/2

Now you have y = -3/2x + b

Use one of the points, replace y and x and solve for b:

7 = -3/2(-2) + b

Simplify:

7 = 3 + b

Subtract 3 from both sides:

b= 4

The equation is y = -3/2x + 4

Step-by-step explanation:

Hey there!.

The equation of a st.line passing through points (-2,7) and (4,2) is;

[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]

Put all values.

[tex](y - 7) = \frac{2 - 7}{4 + 2} (x + 2)[/tex]

Simplify it to get answer.

[tex](y - 7) = \frac{ - 5}{6} (x + 2)[/tex]

[tex]6(y - 7) = - 5(x + 2)[/tex]

[tex]6y - 42 = - 5x - 10[/tex]

[tex]5x + 6y - 42 + 10 = 0[/tex]

[tex]5x + 6y - 32 = 0[/tex]

Therefore the required equation is 5x+6y-32=0.

Hope it helps...

Mira has breakfast at a restaurant. She leaves a 20% tip of $1.80.
What is the price of Mira's breakfast,before tip?

Answers

Answer:          $9.00

.......................................

How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?​

Answers

Answer:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

Step-by-step explanation:

<2 = supplementary angle=180-110=70

<3 = supplementary angle=180-110=70

<4 = opposite angles=110

<5 = 110 (corresponding angle)

<7 = 70 (corresponding to angle 3)

<8 = 110 (corresponding to angle 4)

You don't need to solve for x to find any of those angles.  If you want to anyway:

4x+10=70

4x=70-10

4x=60

x=60÷4

x=15

What distance did the bus travel???

Answers

Answer:

495km

Step-by-step explanation:

180 km in 4 hours means x km in 11 hours.

Cross multiply and you'll find x as 495 km

What is the value of x?
O 78
0 84
o 96
O 102

Answers

Answer:

96°

Explanation

Given problem:

 Find the value of x in the diagram;

Given that lines a and b are parallel lines and transversal c cuts through them;

  the two given angles are said to be equal and alternate angles;

  So;

                99  = x + 3

                     x  = 99  - 3  = 96°

The value of x is 96°

A store sells two types of toys, A and B. One unit of toys A yields a profit
of $2, while a unit of toys B yields a profit of $3. The store owner, Anthony, estimates that no more than 2000 toys will be sold every month. Anthony pays $8 and $14 for each one of toy A and B respectively. He also does not plan to invest more that $25,000 in inventory of these toys. Identify the variables.

x = profit
y = toys

x = Toy A
y = Toy B

x = Toy A
y = profit

x = Toy B
y = Toy A

Answers

Answer:

Step-by-step explanation:

a b

For any two integers a and b, (a + b)² = a² + b²

Answers

Answer:

wrong

Step-by-step explanation:

(a+b)^2=(a+b)(a+b)

=a(a+b)b(a+b)

=a^2+ab+ab+b^2

=a^2+2ab+b^2

i hope it helps you

What is the first step to solve for n

in the following equation?
3n - 7 = 30

Answers

Answer:

n = 37/3

n = 12  1/3

Step-by-step explanation:

Hi there !

3n - 7 = 30

3n = 30 + 7

3n = 37

n = 37/3

n = 12  1/3

Good luck !

Explain why the slope of line is 26.

Answers

Answer:

Your question is lacking some details.

However, slope is determined by rise over run. You can get the rise by subtracting the change in y-values (coordinates) and the rise by subtracting the change in x-values (coordinates) .

Having 26 as slope means that the slope has gone up 26 units in the coordinate plane then 1 unit to the right.

Step-by-step explanation:

Pls help! Will reward brainliest, thanks!

Which element has the greatest average atomic mass?
A. iodine
B. bromine
C. tellurium
D. krypton

Answers

Answer:

the answer is option letter c. tellurium

−2(−4n + 1)+5(25n − 8)=−62.

Answers

Answer:

bet

Step-by-step explanation:

Answer:

n=-20/133

Step-by-step explanation:

Use the distributive property to multiply −2 by −4n+1.

8n−2+5(25n−8)=−62

Use the distributive property to multiply 5 by 25n−8.

8n−2+125n−40=−62

Combine 8n and 125n to get 133n.

133n−2−40=−62

Subtract 40 from −2 to get −42.

133n−42=−62

Add 42 to both sides.

133n=−62+42

Add −62 and 42 to get −20.

133n=−20

Divide both sides by 133.

n=-20/133

Fraction −20/133≈−0.15037594 can be rewritten as −20/133 ≈−0.15037594 by extracting the negative sign.

n=−20/133

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