Determine which lines, if any, are parallel or perpendicular. Explain

Line a: 2x-7y=14

Line b: y=7/2x-8

Line c: 2x+7y=21

Determine Which Lines, If Any, Are Parallel Or Perpendicular. Explain Line A: 2x-7y=14Line B: Y=7/2x-8Line

Answers

Answer 1

Answer:

line b and c are perpendicular because the product of their slope is -1

Step-by-step explanation:

For two lines to be parallel they must have the same slope

For two line to be perpendicular, the product of their slope must be -1

Line a: 2x-7y=14      

Rewrite in the form y = mx+c

-7y = -2x + 14

y = -2/-7 x + 14/-2

y = 2/7x  - 7

The slope of line a is 2/7

Line b: y=7/2x-8

This is already in standard format

mx = 7/2 x

m = 7/2

The slope of line b is 7/2

Line c: 2x+7y=21

Rewrite in standard form

7y = -2x + 21

y = -2/7 x + 21/7

y = -2/7 x + 3

The slope of line c is -2/7

Take the product of line b and c

mb * mc  = 7/2 * -2/7

mb * mc = -1

Hence line b and c are perpendicular because the product of their slope is -1


Related Questions

Which choice shows the product of 22 and 49?

Answers

what are the choices?

Product of 22 and 49 is

(22)(49) = 1078

Option C

Given :

the product of 22 and 49

Explanation :

We need to find which option is correct to find product of 22 and 49

Product mean multiplying the numbers

so we need to multiply 22 and 49

22

49

----------

198

88

-------------

1078

So the product of 22 and 49 is 1078

(22)(49)=1078

Option C is correct

An aircraft is fying at a constant altitude with
a constant speed of 600 miles per hour. An antiaircraft
missile is fired on a straight line perpendicular to the flight path of the aircraft so that it will
hit the aircraft at a point P (see the accompanying figure). At the instant the aircraft is 2 mi
from the impact point P the missile is 4 miles from P and flying at 1200 miles per hour. At that instant.
how rapidly is the distance between inissile and aircraft decreasing?

Answers

An aircraft is fying at a constant altitude with
a constant speed of 600 miles per hour. An antiaircraft
missile is fired on a straight line perpendicular to the flight path of the aircraft so that it will
hit the aircraft at a point P (see the accompanying figure). At the instant the aircraft is 2 mi
from the impact point P the missile is 4 miles from P and flying at 1200 miles per hour. At that instant.
how rapidly is the distance between inissile and aircraft decreasing?

The product of twice a number and five is the same as the difference of nine times the number and 3/4. Find the difference

Answers

Answer:  

I think the answer is -3/4

Step-by-step explanation:

Let x = a number

(2x)(5) = 9x - (3/4)

10x = 9x - (3/4)

Subtract 9x on both sides of equation.

x = -3/4

2 to the 2015 power plss helpp

Answers

Answer:

2015 * 2015= 4,060,225

Therefore, 2015×2015=4060225.

Answer: 4060225

Fill in the blanks to make the equation true. 9 4× 1= 9 4× = 45 20

Answers

Answer:

9/4× 1= 9/4× = 45/20

Step-by-step explanation:

What is the y intercept

Answers

Answer:

-2

Step-by-step explanation:

line crosses the y- coordinate (0,-2)

A box contains 30 marbles, of which 8 are
black, 10 are green, and 12 are yellow. If two
marbles are drawn at random, what is the
probability that both the marbles will NOT be
green?

Answers

Answer:

4/9

Step-by-step explanation:

'ng' = not green

P(ng,ng) = 2/3 x 2/3 = 4/9

Please help!!!!! I need this now

Answers

Answer: 1196 cm³

Step-by-step explanation:

Volume of the rectangular prism: 12 x 20 x 5 = 1200 cm³

Volume of the eraser: 4 x 2 x 0.5 = 4 cm³

Therefore volume not occupied = Rectangular prism volume - eraser volume

1200 - 4 = 1196 cm³

Answer:

1196

Step-by-step explanation:

4 * 2 * 0.5 = 4

12 * 20 * 5 = 1200

1200 - 4 = 1196

Indicate whether there is exactly one solution, infinitely many solutions, or no solution to the equation shown.
2x - 4 = 2(x - 2)

Answers

Answer:

Infinitely many solution

Step-by-step explanation:

Simplify

2x - 4 = 2x - 4

Lets see:

if we put 1:

2 - 4 = 2 - 4

-2 = -2

Now lets try another number : 2

4 - 4 = 4 - 4

0 = 0

So we can say that there is more than one solution

this cancels out single solution and no solution

There are infinitely many solutions to the given algebraic expression 2x - 4 = 2(x - 2).

The algebraic expression is an expression that is composed of variables and their arithmetic operations.

From the given parameters

2x - 4 = 2(x - 2)

Open brackets

2x - 4 = 2x - 4

Since we are having the same algebraic expression on both sides;

Then, we won't be able to get exactly one solution but an infinite number of solutions.

This is because any number that is being substituted for the value of x will always give a different solution.

Learn more about algebraic expression here:

https://brainly.com/question/4344214

What is 5/12 of 7/8?

Answers

Answer:

35/96

Step-by-step explanation:

Of means multiple so just multiply 5/12 and 7/8 and simplify the answer is 35/96

Find the 20th term of the sequence.

1600, 1200, 900, ...

Answers

First approach :

The above series can be seen as

1600 , (1600–400) 1200, (1200–300) 900 .

So we see that the values are getting decreased by 400,300 respectively.

Hence the next term in the sequence will be 900–200 = 700.

Other approach could be :

A geometric progression with ratio as 3/4.

1600*(3/4) = 1200

1200*(3/4) = 900

900*(3/4) = 675

Taking the above two approaches in mind,the two possible answers could be 700 or 675

Um- here ya go

The 20th term of the sequence.

1600, 1200, 900, ..., is 6.76.

What is a geometric sequence?

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹

Given:

A geometric sequence,

1600, 1200, 900, ...

To find the common ratio:

take the ratio of successive terms

r = The value of the second term / the value of the first term

r = 1200/1600 = 0.75.

The explicit formula of a geometric sequence is,

aₙ=a₁(r)ⁿ⁻¹

aₙ= 1600(0.75)ⁿ⁻¹

a₂₀ = 1600(0.75)¹⁹

a₂₀ = 6.76

Therefore, the 20th term is 6.76.

To learn more about the geometric sequence;

https://brainly.com/question/11266123

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evaluate the following expression log^6 8. round your answer to two decimal places
A.0.90
B.1.16
C.2.08
D.0.86

Answers

Answer:

B. 1.16

Step-by-step explanation:

Correct!

The following expression [tex]log^6 8[/tex] evaluates to 0.86. So, The correct  answer is 0.86.

We can evaluate the expression log^6 8 as follows:

[tex]log^6 8 = log 8 / log 6 = 0.90309...[/tex] which rounds to 0.86 to two decimal places.

Therefore, the correct answer is D.

Logs:

The exponential function's inverse is known as the logarithm, or log. In other terms, a number's logarithm is the power that a different number, b, must be raised to in order to equal that number.

The expression log x = b represents a logarithm and is symbolized by the symbol "log". This implies that b is equivalent to x when raised to the power of log b.

For instance, since 2 raised to the power of 3 is 8, the logarithm of 8 to the base 2 is 3.

Calculus, statistics, computer science, and other branches of mathematics all make use of logarithms. Numerous more practical uses include determining pH levels and decibel levels.

To know more about expression:

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Help please help please

Answers

Answer: 20x

expalnation: Not sure about the second one  but the first problem is a trick problem your finding the mean. but it already brought the equation down to 1 so 20 is the answer  

Breanna bought new hiking boots priced at $120 and sales tax is 8%. What is the total cost of the boots after tax?
First, change the percentage to a decimal and find the sales tax amount.

120⋅0.08=$9.60
Now, add the sales tax amount to the original price.

120+9.60=$129.60
The final cost after tax is $129.60.

Answers

120$ 100%
X$ 108%
X=120•108/100
X=129.60$

Write the standard equation of the circle with center (-14, -3) that passes through the point (-5,3),

Answers

Answer:

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Step-by-step explanation:

Equation of a circle:

The equation of a circle with center [tex](x_0,y_0)[/tex] is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In which r is the radius.

Center (-14, -3)

This means that [tex]x_0 = -14, y_0 = -3[/tex]

So

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

[tex](x - (-14))^2 + (y - (-3))^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

Passes through the point (-5,3),

This means that when [tex]x = -5, y = 3[/tex]. We use this to find the radius squared. So

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](-5 + 14)^2 + (3 + 3)^2 = r^2[/tex]

[tex]r^2 = 117[/tex]

So, the equation of the circle is:

[tex](x + 14)^2 + (y + 3)^2 = r^2[/tex]

[tex](x + 14)^2 + (y + 3)^2 = 117[/tex]

Multiply (2× +4)(×- 4)

Answers

Answer: 2x^2-4x-16

Step-by-step explanation:

Answer:  x^4 - 16

Step-by-step explanation:

help me please with math​

Answers

Answer: There is no question

Can you please show the question?

Step-by-step explanation:

Where's the question I can't see the question

Use three of the numbers or symbols below to create an expression equal to 4/9 Type the expression. With 4, 9, =, -, x, and ÷

Answers

Answer:

4 ÷ 9

Step-by-step explanation:

I'm not sure if this is exactly what you mean, but 4/9 means that 4 is being divided by 9, which is expressed with 4 ÷ 9.

what is the approximate diameter of a sphere with a volume 34 cm the third power?​

Answers

Answer:

Diameter = 4cm________________

Step-by-step explanation:

volume = 34cm³

volume = 4/3×π×radius³

34cm³ = 4/3 × 3.14 × radius³

34cm³ = 12.56/3 × radius³

radius³ = 34×3/12.56

radius³ = 8

radius = ³√8

radius = 2cm

diameter = 2×radius

= 2×2

= 4cm

________________

FOLLOW ME PLEASE

Evaluate -5x-6y when x=-4 y=4

Answers

Answer:

-4

Step-by-step explanation:

Help help (12 points)

Answers

Answer:

2m+2m

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

m+m+m+m=4m

4m-2m=2m

_m=2m

2

ill mark brainlist plss help

Answers

Answer:

256 ft

Step-by-step explanation:

51+51= 102

77+77= 154

154+102=256

Answer:

P=2(l+w)=2·(51+77)=256ft

Step-by-step explanation:

The answer will be 256ft

HELPPPP plssssss pls

Answers

Answer:

9. representative because she samples a small group of people to gather representative data for a larger group

10. biased because hes asking people their favorite (opinionated word) sport at a sports game. people at that game most likely are there because it is their favorite

11. 9 students

12. median = 11

Find the range
3, 20, 3,5,7

Answers

Answer:

17

Step-by-step explanation:

Range is the largest number minus the smallest number. In this case, you would do 20 - 3 and get the answer of 17.

Answer:

resta el valor mínimo del valor máximo para obtener el rango 20-3=17

3(6) + 4(2) - 5
What is the answer

Answers

Answer:

21

Step-by-step explanation:

3(6) +4(2) - 5

18 + 8 - 5

26 - 5

= 21

Someone pls help me with question 2

Answers

Answer:

8

Step-by-step explanation:

13 x 1 2/3 = 7.8

7.8 rounds up to 8

Hope this helps :)

A bike costs 4.50 per hour plus a 5 dollar deposit. What is the equation in slope-intercept form?

Answers

y=mx+bb= y intersectionm=slopex=x axis (East to West)y=y axis (North to East)

Use the map shown. Each grid on the map represents 1 city block.
Yoko walks from the library to the mall. How many city blocks does she walk?

Yoko walks ___ blocks.

Answers

Answer:

it is a reflection

the points are 8 units apart

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-Lil G

Answer:

i thinks it 8 blocks!! sorry if im wrong

Answer correctly pls

Answers

All real numbers. All numbers would give you an answer

Answer:

domain is All real numbers greater than 0

Interest earned: $40, Principal: $400, Time: 2 years. Find the rate.

Answers

Answer:

840

Step-by-step explanation:

40+400×2=840

5 percent per year

400/10=40

40/2=20

400/20=5

5 percent per year

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