) Find the value of k so that 5x + ky = 20 makes an angle of 60° with x-axis.
Find the value of k so that 4x + ky = 15 makes an angle of 60° with y-axis.​

Answers

Answer 1

Answer:

k = - 5/√3 = - (5√3)/3

Step-by-step explanation:

5x + ky = 20

y = (- 5/k) * x + (20/k)

Line equation: y = mx + b     m: slope   m = - 5/k

60° with x-axis (suppose it's positive x axis): slope m = tan 60° = √3

- 5/k = √3

k = - 5/√3 = - (5√3)/3


Related Questions

what is the simplest form of this ratio?
100:40:20

Answers

Answer:

52

Step-by-step explanation:

Pamela's age is three times Jiri's age. The sum of their ages is 68. What is Jiri's age?

Answers

Answer:

17

Step-by-step explanation:

x + 3x = 68

4x = 68

x = 17

Solve the system of equations by using the substitution method.
2x - 3y = 11
y=x-4

Answers

2x - 3(x - 4) = 11
2x - 3x + 12 = 11
-1x = -1, x = 1
y = 1 - 4 = -3, y = -3
Solution: x = 1, y = -3

3) Is this relationship a function? Why or why not?


Answers

Answer:

The relationship is not a function

Step-by-step explanation:

A function may NOT have two y-values assigned to the same x-value.

help ya girl out?:(

Answers

Answer:

Fourth choice, -2

Step-by-step explanation:

If you look at the t-chart at your right, when f(x) is -6, x is -2

What is the slope of the line that passes through the points

Answers

Answer:

The slope is -2

Step-by-step explanation:

(−4,7);(2,−5)

(x1,y1)=(−4,7)

(x2,y2)=(2,−5)

m= y2−y1 /x2−x1

−5−7 /2−4

−12 /6

−2

Drag and drop the answer into the box to match each point to its coordinates.
Please answer fast, thank you. :)

Answers

Answer:

A. 2, 1/2

B. -2, 1/2

C. -1.5, 1/4

Step-by-step explanation:

just solve

Answer:

point a: (2, 1 1/2)

point b: (-2,1 1/2)

point c: (-1 1/2, 1/4)

Step-by-step explanation:

Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help Help

Answers

Answer:

18:12

Step-by-step explanation:

Answer:

answer is 18 divided by 12

Step-by-step explanation:

please mark brainliest

The variables x an y vary directly. When x=13, y=52. Which equation correctly relates x and y?

Answers

Answer:

The equation which correctly relates x and y is y = 4x

Step-by-step explanation:

The equation of the direct variation is y = k x, where

k is the constant of variationTo find the value of k, use the initial values of x and y

∵ The variables x and y vary directly

→ Use the form of the equation above

y = k x

∵ When x = 13, y = 52

→ That means the initial values of x and y are 13 and 52

x = 13 and y = 52

→ Substitute them in the equation above to find k

52 = k (13)

∴ 52 = 13k

→ Divide both sides by 13

4 = k

∴ The value of k is 4

→ Substitute it in the equation

y = 4x

The equation which correctly relates x and y is y = 4x

Pls help me pls....
Choices are in the pic pls...
I’ll mark as Brainiest and that’s a promise

Answers

Answer:d would make the most sense :)

Step-by-step explanation:

helppp i’ll give brainliest if it’s right :)

Answers

Answer:

2 real solutions

Step-by-step explanation:

In order to graph a line your equation must be set equal to y. If I gave you the following equation would you be able to graph it in the form it is given? If not, rewrite the equation so that you could graph it. - 6x + 12y = 9​

Answers

Answer:

Step-by-step explanation:

Graphing the equation in the form it is given is eventually hard so we always rewrite the equation in the form of y. Lets rewrite the equation in the form of y.

[tex]-6x+12y=9\\12y=6x+9\\\\y=\frac{6x+9}{12} \\\\y=\frac{6x}{12}+\frac{9}{12} \\\\y=\frac{1}{2}x+\frac{3}{4}[/tex]

now if we compare it to our slope-intercept form which is

[tex]y=mx+b[/tex]

m is the slope which is 1/2 which tells us that if the slope is positive the graph is a positive slope means that two variables are positively related that is, when x increases so does y, and when x decreases y also decreases. Graphically, a positive slope means that as a line on the line graph moves from left to right, the line rises, and b is the y-intercept which is 3/4.

Intercept means where the line intersects the specific axis. In this case b is y-intercept which is 3/4 which means the line intersects the y-axis at 3/4

so we have our first point (0 , 3/4)

now in order to graph the line we need one more point that is the x-intercept which means where the line would intersect the x-axis the coordinate would be (x , 0) so lets insert this coordinate into our equation that we rewrote above.

[tex]y=\frac{1}{2}x+\frac{3}{4} \\\\0=\frac{1}{2}x+ \frac{3}{4}\\\\-\frac{3}{4}=\frac{1}{2} x\\\\-6=4x\\\\\frac{-6}{4}=x \\\\x=\frac{-3}{2}[/tex]

so our x-intercept is (-3/2 , 0)

Below I have attached the graph file you check it out for better understanding

Sam is flying a kite that is 20 m from her along the ground and 15 m above her. How long is the string between Sam and the kite?

Answers

Answer:

35

Step-by-step explanation:

20 + 15 = 35

BRAINLIEST PLEASE

35 there you go please help get points

someone please give me the answers for this lol​

Answers

Answer:

A is the correct answer.

Step-by-step explanation:

y and x meet on those numbers. And i did the test.

hope this helps

A is the answer for sure

la medida del vector se llama:​

Answers

Step-by-step explanation:

suususisissiaisisjsjx

What is the population density of the US if the area of the United States is 4,000 square miles?

Answers

Answer:

82050 people/mi^2

Step-by-step explanation:

The population of the US is 328.2 million people and the area of the US is 4000 mi^2 as given. The population density is found by (population)/(area), so we input our values in:

Population density = 328, 200, 000/4000 = 82050 people/mi^2

I hope this helps! :)

Solve for the value of p.
(8p+4)
54°

Answers

Answer:

p=-6 I hope I helped! Enjoy your day

5 The backyard at Selena's new house is in the shape of a square and has an area of 250 square feet. What is
the approximate side length of her yard? (Between which two whole numbers?

A) 15 and 16
C) 16 and 17
B) 17 and 18
D) 18 and 19

Answers

A) 15 and 16 square feet

this is my third time asking brainly for this question. Find the perimeter and in standard form.

Answers

the expression is 14x + 4. it’s a rectangle, so the opposite sides are congruent and they have the same value.

2. What is a positive coterminal angle to -123° that is between 500° and 750° and a negative coterminal angle to -123° that is between −300° and −500°?

Answers

Answer:

The two angles are  597° and -483°

Step-by-step explanation:

A coterminal angle to a random angle A, is an angle that has the same terminal side as A.

If we know the angle A, all the coterminal angles to A can be written as:

A + n*360°

Where n is an integer number.

In this case, we know that:

A = -123°

And we want to find a coterminal angle that is between 500° and 750°

Then we can do:

X = -123° + n*360°

And find the value of n such that X is between the desired values.

if we use n = 1 we get:

X = -123° + 1*360° = 237°

This is not enough, we can discard it.

If we use n = 2, we get:

X = -123° + 2*360° = 597°

This is a coterminal angle to -123°, and is in between 500° and 750°.

Now we want to find a coterminal angle to -123° that is in between -300° and -500°, we can do the same thing as before, but now we can try with negative values of n.

We can start with n = -1, then:

X = -123° - 1*360° = -483°

This is a coterminal angle to -123°, and is in between -300° and -500°.

Then the two angles are:

597° and -483°

Which of the following is the correct slope-intercept form of the equation -4x + 2y = 14?

y = 2x + 7
y = 4x + 14
y = -2x + 7
y = -4x + 14

Answers

the answer would be: y = 2x + 7 .

b. 3 ice cream cones cost $3.75.
At this rate, how much do 2 ice cream cones cost?

Answers

Answer:

2.50

Step-by-step explanation:

Lets find the unit rate first! 3.75/3 because that is the problem. Now once we divide that we get 1.25. With 1.25 we multiply by 2 to get your answer of 2.50!

Have a good day!

Answer:

The answer am almost postive is 2.5

Step-by-step explanation:

Rewrite in simplest terms: (x+10y)-(x+5y)(x+10y)−(x+5y)

Answers

Answer:

-x^2-15xy-50y^2+14y

Step-by-step explanation:

A freshly cut Christmas tree is sold for $30. The tree is 6 feet tall. How much a foot is it for the tree?

Answers

Answer:

$5 a foot for the tree

Cos(0.5)+cos(0.5+2(3.14159265))+cos(0.5+4(3.14159265))

Answers

Answer:

2.63274768567

Step-by-step explanation:

First, note that 3.1415... is p, so 2(3.1415...) is 2pi and 4(3.1415...) is 4pi.

2pi and 4pi are full rotations, which will lead to the same cosine (i.e. cos(x) = cos (x+2pi) = cos(x+4pi) = ... = cos (x+2k*pi)).

So, the expression equals cos0.5 + cos 0.5 + cos0.5 = 3cos0.5 = 3(0.87758256189) = 2.63274768567

I hope this helps! :)

can u help me on this pl

Answers

Answer:

B) [tex]9d^8[/tex]

Step-by-step explanation:

To find the expression equivalent to [tex](3d^4)^2[/tex], we must simplify the given expression. This can be done by applying an exponent rule:

[tex](a*b)^x=a^xb^x[/tex]

In the context of our problem, we would have:

[tex](3*d^4)^2[/tex]

Therefore, when that exponent is distributed, we get:

[tex](3^2d^8)[/tex]

Simplified, we have:

[tex]9d^8[/tex]

What is the scale factor in the dilation?​

Answers

Answer: 6

Step-by-step explanation:

The scale factor of the given dilation is 3.

Step-by-step explanation:
Step 1:
In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.
Step 2:
So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units. 9/3 = 3

So the scale factor is the third option 3.

help fast please it's timed ​

Answers

Answer:

2x= 3x-7

-x=-7

x=7

so, the first option

Step-by-step explanation:

A 6-foot tall observer casts a 3.5-foot shadow at the same time a silo casts a 49-foot shadow. How tall is the silo?

Answers

Answer:

about 28.8 ft.

Step-by-step explanation:

Investigate Ratios and Rates: Investigation 1
1. Which size jar of peanut butter has the least price per ounce?
A. 9-oz jar for $4.77
В. 18-oz jar for 39.18
с. 24-jar for 1.76
D. 40-oz jar for $20.80

Answers

Answer: A. 9-oz jar for $4.77

Step-by-step explanation:

Other Questions
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The range received its name because of the deep reds, maroons, and pinks that make up its granite and limestone faces. These colors are especially striking at sunset. The westward face of the range is characterized by its rugged, sheer cliffs and large, rocky outgrowths. The eastward face slopes gradually and is covered in the green of pine and juniper trees.The Sandia Mountains have many different attractions that draw tourists each year. One of these is the Sandia Man cave, first discovered and excavated in the 1930s. During its excavation, human tools and clothing were found, as well as the remains of a prehistoric mastodon. Evidence at the cave site dates human usage between nine and eleven thousand years ago, making this one of the oldest human habitats in North America.Another attraction is the Sandia Peak Tramway. This tram system has two tram cars that run every 15 to 30 minutes. One car ascends the mountain, taking passengers to the top where they disembark. The other descends the mountain, bringing them back down. First opened in 1966, the cars hold a maximum of 55 passengers. During construction of the tram, thousands of helicopter flights lifted cables, workers, and materials to build the two towers to the mountaintop.The total length of the tram system extends nearly three miles. The span that extends from the second tower to the peak is the third longest clear span in the world. A clear span is a "length of cable between supporting towers." The cars travel at a speed of 12 miles per hour and provide passengers with an unimpeded view of the city of Albuquerque, the Rio Grande, and even three extinct volcanoes.Tram passengers are also able to see a wide variety of birds and animals native to the mountains ecosystem. As a passenger on the Sandia Peak Tramway, you might see golden eagles, Stellers jays, ravens, and canyon wrens. You may also glimpse a few land animals like mule deer, black bears, and bobcats.Refer to this paragraph from "The Sandia Mountains."Another attraction is the Sandia Peak Tramway. This tram system has two tram cars that run every 15 to 30 minutes. One car ascends the mountain, taking passengers to the top where they disembark. The other descends the mountain, bringing them back down. First opened in 1966, the cars can hold a maximum of 55 passengers. 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