What is the slope of a line perpendicular to the line whose equation is 6x-15y=270

Answers

Answer 1

Answer:

m= -2 1/2

Step-by-step explanation:

First, let's put the equation into slope intercept form.

6x-15y=270

-15y=-6x+270

y=6/15x+270

For two lines to be perpendicular, their slopes must be opposite reciprocals.

m=-15/6 or m= -2 1/2

Answer 2

Answer:

slope = - [tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

6x - 15y = 270 ( subtract 6x from both sides )

- 15y = - 6x + 270 ( divide all terms by - 15 )

y = [tex]\frac{-6}{-15}[/tex] x - 18, that is

y = [tex]\frac{2}{5}[/tex] x - 18 ← in slope- intercept form

with slope m = [tex]\frac{2}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex]


Related Questions

write an equation in slope-intercept form if the slope is 1.5 and y-intercept is (0,3)

Answers

Step-by-step explanation:

The equation of the line is y = 1.5x + 3.

if the length of two sides of a triangle are 7 and 10 the length of the third side may be

A. 1
B.3
C.2
D.4
explain

Answers

Answer:

D. 4

Step-by-step explanation:

Let's look at all the options first. All of the options are below 7 and 10, hence we can deduce that it is not the hypotenuse. Looking at 7 and 10, we see that 10 is the larger number, and hence we know that 10 is the hypotenuse.

Hence, as the other two sides added up in a triangle must be larger than the hypotenuse, the only available option is 4, since 4 + 7 = 11 > 10.

Hope this helped!

Use the pencil,plot the point (3 1/2, 2 3/4)

Answers

Answer:

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Step-by-step explanation:

Given the points

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]

as

[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]

so the point can be visualized as:

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Guys I am going to run out of points. Help with 19?
I don't need an explanation.

Answers

Answer:

A.) 20x + 2y = 500

B.) y-intercept = 250; its meaning is how many boxes of pencils they started with.

C.) x-intercept = 25; How many T-shirts they can sell at most

Step-by-step explanation:

2y - 500 = -20x

20x + 2y - 500 = 0

20x + 2y = 500

y-intercept = 250; its meaning is how many boxes of pencils they started with.

20x + 2y = 500

20(0) + 2y = 500

2y = 500

2y/2 = 500/2

y = 250

x-intercept = 25; How many T-shirts they can sell at most

20x + 2y = 500

20x + 2(0) = 500

20x = 500

20x/20 = 500/20

x = 25

Solve: (3/4) divided by 6 (2/3)

Answers

Answer:

0.1875

Step-by-step explanation:

3/4/6(2/3)

3/4/12/3

3/4/4

0.75/4

=0.1875

Which system of linear inequalities is represented by the
graph?
O y > x-2 and x- 2y < 4
O y > + 2 and x + 2y < 4
Oy>X-2 and x+ 2y < 4
Oy>x-2 and x +2y<-4

Answers

Answer:

y > x - 2.

2*y + x < 4

The correct option is the third one.

Step-by-step explanation:

First let's find the red shaded part.

We can see that the shade is above the line, then we will have something like:

y > a*x + b

where a*x + b is the equation for the line.

a is the slope, and b is the y-intercept.

In the graph, we can see that the line intercepts the y-axis at y = -2, then we have:

b = -2

To find the slope we need two points of the line, we can use the points (0, -2) and (2, 0)

We know that for a line that passes through the points (x1, y1) and (x2, y2) the slope is:

a = (y2 - y1)/(x2 - x1)

Then for this line, the slope will be:

a = (0 - (-2))/(2 - 0) = 2/2 = 1

Then the equation for this line is:

1*x - 2

And the inequality is:

y > x - 2.

Now for the blue one, the shaded part is below the line, then we will have:

y < a*x + b

In this case, the y-intercept is y = 2.

And we can see that this line passes through the points (0, 2) and (4, 0)

Then the slope is:

a = (0 - 2)/(4 - 0) = -2/4 = -1/2

Then this inequality is:

y < (-1/2)*x + 2

If we rewrite this as the ones shown in the options, we have:

y < (-1/2)*x + 2

2*y < -x + 2*2

2*y + x < 4

Then the two inequalities are:

y > x - 2.

2*y + x < 4

Then the correct option is the third one:

The system of linear inequalities y > x - 2 and x + 2y < 4 is represented by the graph

Inequality

Inequality is an expression that shows the non equal comparison of two or more numbers and variables

Given the inequalities  y > x - 2 and x + 2y < 4, plotting the two inequalities using the geogebra online graphing tool.

The solution of the inequality on the graph is the very dark region.

Find out more on Inequality at: brainly.com/question/24372553

The bank agrees to give you a loan of $7,000 with 1% simple interest over 2 years. How much will your monthly payments be? ​

Answers

Answer:

25550 is The Answer i think

What is the base of the expression 11^12?
3
11
12
21​

Answers

Answer:

11

Step-by-step explanation:

11^12 is the power

12 is the exponent

So 11 is the base

Answer:

B 11

Step-by-step explanation:

the base means the base number not the exponent, so 11

Liam owns a small business selling bagels. He knows that in the last week 60 customers paid cash, 24 customers used a debit card, and 24 customers used a credit card. Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.

Answers

Given :

Liam owns a small business selling bagels. He knows that in the last week 60 customers paid cash, 24 customers used a debit card, and 24 customers used a credit card.

To Find :

Based on these results, express the probability that the next customer will pay with a debit card as a percent to the nearest whole number.

Solution :

Probability that next person will pay with a debit card in percentage is :

[tex]P = \dfrac{\text{Number of customer used debit card}}{\text{Total number of customers}}[/tex]

[tex]P = 100\times \dfrac{24}{60 + 24 + 24}\\\\P = 100 \times \dfrac{24}{108}\\\\P = 22 \ \%[/tex]

Hence, this is the required solution.

Answer:51

Step-by-step explanation:

An economist in Kenya argued that 3.5% of all SMES would file for bank loans next year. For a random sample of 100SMES estimate the probability that at least 3 will file bank loans next year

Answers

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

Help plz I really need it

Answers

Answer:

translation then reflection

Step-by-step explanation:

3/4 divided by 1/5


HELPPP

Answers

Answer:

3.75

Step-by-step explanation:

3/80 as a fraction maybe

3 3/4 as a mixed fraction

Please help me please

Answers

Answer:

Jorge is hiking 4 kilometers per hour.

Step-by-step explanation:

Identify the domain of the function shown in the graph.

Answers

Answer:

D. [tex]x\geq 0[/tex]

Step-by-step explanation:

In order to answer this question we need to know the definition of the domain. The domain of a function is the complete set of possible values of the independent variable ("x"). In our case we can look at the function and cross out option "A" because the function has no point with a negative "x" value. Option "B" can be also crossed out because it states that "x" values can not go above 3 but by looking at the function we can see multiple point with "x" values larger then 3. Option "C" can also be crossed out because their is not point on the function that would have a negative "x" value which contradicts the statement about all numbers. And finally we are left with "D" and we know it is the right answer since the function has a point with "x" value being equal to 0 and the all other points have the "x" value greater then 0, which is exactly what option "D" states.

Find the area of the shape

Answers

Your answer will be D.

So, you have the angles 12, 9, 6, and 3. You may see that the place that 6 is makes this a non perfect square. When you have this problem simply add the number on top of it with the number that makes this problem.

For instance...

[tex]\boxed{6+3=9}[/tex]

So, when finding area you must multiply the 2 lengths with each other.

So here our bottom length is also 12. Thus, we must multiply 9 and 12 together.

For instance...

[tex]\boxed{9*12=108}[/tex]

Use the diagram of a prism to answer the question. 4 cm, 2 cm, 3 cm. What is the total surface area of the prism?

Answers

Answer:

52cm3

Step-by-step explanation:

Ben gets 5 more presents than his naughty little sister Gwen this holiday season. If together they receive 21 presents, how many
presents does each kid receive?

Answers

9514 1404 393

Answer:

Ben: 13Gwen: 8

Step-by-step explanation:

The given relations give rise to two equations:

  b = g + 5

  b + g = 21

Using the first to substitute for b in the second, we have ...

  (g +5) +g = 21

  2g = 16 . . . . . . . subtract 5

  g = 8 . . . . . . . . . divide by 2

  b = 8 +5 = 13

Ben got 13 presents; Gwen got 8.

Use the graph to solve the system of linear equations.
x - y = 4
4x + y = 1

Answers

(1,3) is the answer

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x and y is 1 and -3.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4y = 6 is an equation.

2x = 4 is an equation.

4x - 6x + 6x = 6 is an equation.

We have,

x - y = 4 _____(1)

4x + y = 1 _____(2)

From (1) we get,

x = 4 + y ____(3)

Putting (3) in (2) we get,

4x + y = 1

4 (4 + y) + y = 1

16 + 4y + y = 1

16 + 5y = 1

Subtract 16 on both sides.

5y = 1 - 16

5y = -15

Divide both sides by 5.

y = -3

Now,

Putting y = -3 in (3) we get,

x = 4 + y

x = 4 - 3

x = 1

Thus,

The value of x and y is 1 and -3.

Learn more about equations here:

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Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.

Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.

Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?

Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?

Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

To learn more about average here:

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The population of bears in a national forest is changing according to the function N(t)=850(1.04)t , where t is the time in years, and N(t) is the number of bears. Which statement explains how the bear population is changing?

Answers

Answer:

The statement is that the population increases at a rate of 4% per year

Step-by-step explanation:

The function is given as;

N(t) = 850(1.04)^t

The general equation form for a representation as this is;

P = I(1 + r)^t

Where I is the initial value and P is the present value

r is the rate of increase

t is the time

Thus, we have that;

1 + r = 1.04

r = 1.04-1

r = 0.04

0.04 is same as 4/100 which is same as 4%

So the statement about how the population of bear is changing is that the population increases at a rate of 4% each year

in 2010 an item cost $200. The price increase by 1.5% each year. How much wil it cost in 2030?
Round
your
answer to the nearest cent.

Answers

Step-by-step explanation:

Let P be price after t year . From the formula of compounding

P = 9 (1.015)^t

Taking log to the base e on both sides

ln P = ln 9 + t ln 1.015

= (2.197 + .0149t )

P = e^{(2.197+.0149t)}

can someone help me on this one ​

Answers

It would be best if you actually plotted this on a graph to help you better understand it however the answer would be (-3, 6)

I need help with this question plsss

Answers

Answer: maybe its 6

Step-by-step explanation:

i think its 6 because it has +3 so maybe adding 3+3

please solve for x
-377=x-1,000

Answers

Answer:

623

hope this helped?

How many solutions does the system have?
y=5+ 62
y=6x + 5
A) Exactly one solution
B) No solution
C) Infinitely many solutions

Answers

The answer is A)Exactly one solution
the answer is A exactly one solution

A truck driver has to make a delivery at a location that is 230.2 miles away. She drives an average of 55 miles each hour for 3.25 hours. If the truck driver continues at the same speed, will she make it to the location in the next hour?
and how many does she or he have to go

Answers

Answer:

The driver will make it to the location in the next hour

Step-by-step explanation:

First, find how many miles they traveled in 3.25 hours, by multiplying 55 by 3.25:

55(3.25)

= 178.75

Then, add 55 to this to see if the driver will make it in the next hour:

178.75 + 55

= 233.75

Since this is greater than 230.2, this means they will make it to the location.

So, the driver will make it to the location in the next hour.

Answer:

Yes

Step-by-step explanation:

Since the truck driver is going at an average speed of 55 miles per hour and has already driven for 3.25 hours that means she has already covered a distance of ...

55 * 3.25 = 178.75 miles

If she continues at the same speed and travels for one more hour that means that she would cover another 55 miles which would put her at a total distance of ...

178.75 + 55 = 233.75 miles

Therefore, the answer would be Yes she would arrive at her location. ;)

Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?

Answers

Step-by-step explanation:

9x - 7 - 3x + 9 = x + 7 + 5x + 9

6x + 2 = 6x + 16

2 = 16

Since 2 = 16 is false, there exist no real solutions for x.

Final Answer: No Solution. The equation would have 0 solutions.

Steps/Explanations:

Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.

Step 1: You should cancel [tex]9[/tex] on both sides.

[tex]9x - 7 - 3x = x + 7 + 5x[/tex]

Step 2: Simplify [tex]9x - 7 - 3x[/tex] to [tex]6x - 7[/tex].

[tex]6x - 7 = x + 7 + 5x[/tex]

Step 3: Simplify [tex]x + 7 + 5x[/tex] to [tex]6x + 7[/tex].

[tex]6x - 7 = 6x + 7[/tex]

Step 4: You'll need to cancel [tex]6x[/tex] on both sides.

[tex]- 7 = 7[/tex]

Step 5: Since [tex]-7 = 7[/tex] is false, there would be no solution.

No Solution

~I hope I helped you :)~

Mario is tracking the progress of his plant's growth. After 4 days the plant was 5 cm high. 13 days later the plant was 18.5 cm tall.

What is the rate of growth of the plant?
How tall was the plant when Mario planted it?
How tall will the plant be after 20 days?

Answers

Answer:

sjdhdjdbdkendbdidjdnd

Please answer this question, worth ten points

Answers

Answer: 39.9

Step-by-step explanation: 9.5×4.2

Answer:

The answer is 39.9

Step-by-step explanation:

The formula for a parallelogram is base multiplied by height so 9.5 × 4.2 is equal to 39.9 :) hope this helps

solve this equation 3.5z – 2.7z = –6

Answers

Answer:

z=-7.5

Step-by-step explanation:

Answer:

z = -7.5

Step-by-step explanation:

First you have to simplify the equation:

0.8z = -6

Then you have to isolate the z, and to do so you have to divide both sides by 0.8.

0.8/0.8z = -6/0.8

The answer then comes out to be z = -7.5

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