The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?

The Slope Of A Line Is . A Different Line Passes Through The Points (6, 3) & (-1, 5). Are The Lines

Answers

Answer 1

Answer:

B. They are not parallel because their slopes are not equal.

Step-by-step explanation:

Find the slope of the line that runs through points (6, 3) and (-1, 5):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 3}{-1 - 6} [/tex]

[tex] slope (m) = \frac{2}{-7} = -\frac{2}{7} [/tex]

Since the slope of the line that passes through points (6, 3) and (-1, 5) is not the same with line that has a slope of ¾, therefore, both lines cannot be parallel.

The answer is "B. They are not parallel because their slopes are not equal."


Related Questions

Translate the sentence into an equation. The sum of 2 times a number and 5 is 8.

Answers

Answer:8=2xn+5

Step-by-step explanation:X is times

n is variable

the decimal equivalent 3/5 is a repeating decimal true or false?

Answers

Answer: false

Step-by-step explanation:

3/5 in a decimal is 0.6. overall 0.6 is not an repeating decimal.

True, the decimal equivalent of 3/5 is a repeating decimal.

We have,

The concept used to determine whether the decimal equivalent of 3/5 is a repeating decimal is the division of the numerator (3) by the denominator (5) to obtain the decimal representation.

When we divide 3 by 5, we get a decimal value of 0.6. However, since the division does not terminate or end, and the digit 6 repeats indefinitely, we conclude that it is a repeating decimal.

This concept involves understanding the nature of the decimal representation and recognizing repeating patterns.

Thus,

True, the decimal equivalent of 3/5 is a repeating decimal.

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Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?

Answers

Answer:

he need 84

Step-by-step explanation:

12* 7

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Answer:

38 feet

Step-by-step explanation:

Find the perimeter:

12 + 7 + 12 + 7 = 24 + 14 = 38 feet of fencing

Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)

Answers

Answer:

-10

-20

-26

48

40

-2

Step-by-step explanation:

I used a calculator to make sure

How many times greater is the value of the 8 in 38,900 than the value of the 8 in 57,080

Answers

it is 100 times greater because it is two places higher than 57,080

Write the equation in slope intercept form: 3x - 4y = 8*

Answers

Answer:

the answer is y=[tex]\frac{3}{4}[/tex]x-2

Step-by-step explanation:

The equation 3x - 4y = 8  written in slope-intercept form as y = (3/4)x - 2.

To write the equation 3x - 4y = 8 in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept,  to isolate y on one side of the equation.

Starting with the given equation:

3x - 4y = 8

First, let's subtract 3x from both sides of the equation to isolate the y term:

-4y = -3x + 8

Next, divide both sides of the equation by -4 to solve for y:

y = (3/4)x - 2

Now the equation in slope-intercept form. The slope is 3/4, and the y-intercept is -2.

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HELP ME PLEASE
In the diagram below, which distance represents the distance from point to
KE?

A JL
В. КМ
C. JM
D. JK

Answers

C. JM because that line is the height of the triangle

The measured height, in feet, of an airplane at certain times, in minutes, after takeoff can be modeled using the regression equation y = StartFraction 29,864 Over 1 + 9.381 e Superscript negative 0.9948 x Baseline EndFraction. To the nearest hundred feet, what is the predicted height of the airplane after 18 minutes?

Answers

Answer:

29900 ft

Step-by-step explanation:

just plug in 18 for x

A function assigns the values. The predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The measure of the height of an airplane at a certain time is given by the function,

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}[/tex]

where x is the time in minutes and y is the height of the airplane.

Now, the height of the plane after 18 minutes post takeoff can be calculated by substituting the value of time, x as 18 in the function.

[tex]y = \dfrac{29,864 }{1+9.381 e^{-0.9948x}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-0.9948 \times 18}}\\\\y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}[/tex]

[tex]y = \dfrac{29,864 }{1+9.381 e^{-7.9064}}\\\\y = \dfrac{29,864 }{1+(9.381 \times 1.6724 \times 10^8)}\\\\y = \dfrac{29,864 }{1+(1.5689 \times 10^8)}\\\\y = \dfrac{29,864 }{1.000000157}[/tex]

y = 29864 ft

Hence, the predicted height of the airplane after 18 minutes of takeoff is 29,864 ft.

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The Distance between the school and the park 6km there 1.6km in 1 mile how many miles are between the school and the park

Answers

Answer : 3.75 miles

Answer:

3.75

Step-by-step explanation:

6 km     =     1.6 km

1 km      =      x

6 / by 1.6 = 3.75

HOPE ITS HELPFUL!

An automatic teller machine gives you $150 in five and ten-dollar bills.  There are two more than twice as many five-dollar bills as there are ten-dollar bills.  How many of each denomination are there?​

Answers

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?

speed = distance over time

1 mile = 1609 meters.

Answers

Answer:

10.4 meters per second

The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?

Answers

Subtract the new value from original value to find the difference:

35 - 28 = 7

Divide the difference by the original amount and multiply by 100:

7/35 = 0.2 x 100 = 20%

The decrease was 20%

Answer:

20%

Step-by-step explanation:

First, subtract the new value from the original value to find the difference between the two.

35 - 28 = 7

Next, divide the difference by the original amount.

7 / 35 = 0.2

Then, multiply by 100.

.2 x 100 = 20%

We now know that the decrease was 20%

Find the value of f'(4) when
f(x)=5/3x^3/2+8x^1/2

Answers

To figure this out plug in 4 for x

f(4)=5/3(4)^3/2+8(4)^1/2 = 5/3(8) + 8(2)
= 5/3 x 8 + 16 = 40/3 +16 = 88/3

Hope this helps!

Find the area of the triangle

Answers

The area should be 60 which is half the height times base

Divide the number 90 into three parts in the ratio 1:4:5.

Answers

Answer:

9, 36, and 45

Step-by-step explanation:

The order is 9, 36, and 45 because as we have to divide 90 into 1:4:5, 1+4+5=10 total parts. Then 90 divided by 10 equals to 9. The first number has 1 part, so 9x1=9 for the first number. For 4 parts, 9x4=36 for the second number. For 5 parts, 9x5=45 for the third number. The order is 9, 36, and 45. Hope it helps!

When we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

Given that,

The number is 90. We have to divide the above number in 1:4:5 ratio.

Based on the above information, the calculation is as follows:

x + 4x + 5x = 90

10x = 90

x = 9

Now multiply each ratio with 9 to get each value.

So, the values should be 9,36, and 45.

Therefore we can conclude that when we divide 90 in 1:4:5 ratio so it comes 9,36, and 45.

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twice a number k plus the quantity s minus 2

Answers

2k + s - 2

I don't understand the question

Answer:

2k+s-2

Step-by-step explanation:

twice means 2 and k is just a number but as a letter. plus the quantity s is just s as a number, then minus 2 is

=2k+s-2

please i need some help due in some mins

Answers

the answer is a 0.1 hope this helped

A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?

Answers

Answer:

32

Step-by-step explanation:

First, subtract the membership free from the total cost:

46 - 14

= 32

To find how many visits they can make, divide this by 1:

32/1

= 32

So, the maximum number of visits a member can make is 32.

Answer:

32

Step-by-step explanation:

5(3 - x) < -2x + 6 please solve for me <3

Answers

what grade are you learning this in

Answer:

>3

Step-by-step explanation:

−5x+15<−2x+6

Step 2: Add 2x to both sides.

−5x+15+2x<−2x+6+2x

−3x+15<6

Step 3: Subtract 15 from both sides.

−3x+15−15<6−15

−3x<−9

Step 4: Divide both sides by -3.

−3x

−3

<

−9

−3

What’s the value of y in this picture

Answers

Answer: A 83

Step-by-step explanation:

Add 46 to 51 then subtract from 180 to get the correct answer(83)

Enter the correct value so that each expression is a perfect-square trinomial.
x^2 + __ x + 36

Answers

Answer:

12.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

i did it and got it right on ed.

Are the 2 triangles congruent?

Answers

Answer:

ya they r

Step-by-step explanation:

Yes they are hope this helps :)

If the smallest angle of rotation for a regular polygon is 18°, how many sides does polygon have?
Оооо
20
24

Answers

Answer:

24

Step-by-step explanation:

There are 27 students in a class one third of the students are boys how many students are girls

Answers

Answer:

18 students are girls.

Step-by-step explanation:

Answer: The answer would be 18 girl students

Step-by-step explanation:

If one 3rd of the students are boys, divide 27 by 3 and you get 9, 9 times 2 equals 18, the other nine students are the boys, while there are 18 girls.

How do you show that an inequality is true on a number line?​

Answers

Does it have the open and closed dot?

What is 40 percent of 50?
1. 20
2. 30
3. 40
4. 10

Answers

Answer:

1) 20

Step-by-step explanation:

40% percent of this number is only a small amount.

20

Step-by-step explanation:

40 percent of this number is a small amount

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Answers

Answer:

110d + 80 > 1620

d > 14

Step-by-step explanation:

The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d

Add 80 to this to represent the bonus points.

Use a greater than inequality, because you have to get more than 1620 points.

Put this all together:

110d + 80 > 1620

Then, solve for d:

110d + 80 > 1620

110d > 1540

d > 14

So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

(a) If A is the area of a circle with radius r and the circle expands as time passes, find dA dt in terms of dr dt . dA dt

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

If A is the area of a circle with radius r and the circle expands as time passes, find dA/dt in terms of dr/dt. dA dt = dr dt (b) Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1 m/s, how fast is the area of the spill increasing when the radius is 25 m?

Area of the circle A = πr²

dA/dr = 2πr where r is the radius of the circle

dA/dt = dA/dr * dr/dt

dr/dt is the rate of increase in radius of the oil spill.

Given

dr/dt = 1m/s

radius r = 25m

Substitute into the formula above;

dA/dt = dA/dr * dr/dt

dA/dt = 2πr * 1

dA/dt = 2π(25) * 1

dA/dt = 50πm²/s

dA/dt = 157.1m²/s

Hence the area of the spill is increasing at the rate of 157.1m²/s

The shapes below are similar. What does x have to be?

Answers

I think it is 3.5
if 8 is divided by 4, you get two since they are the same shape, 14 should be divided by 4 as well which is 3.5
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