What is the equation in standard form of the line y=1/9 x +5?

Answers

Answer 1
Answer:  x-9y = -45

Work Shown:

[tex]y = \frac{1}{9}x+5\\\\9y = x+45\\\\9y-45 = x\\\\-45 = x-9y\\\\x-9y = -45\\\\[/tex]

The last equation is in the form Ax+By = C where A = 1, B = -9, C = -45

In the second step, I multiplied each term by 9 to clear out the fraction.


Related Questions

in ACE, G is the centroid and BE = 9. find BG and GE ​

Answers

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

good luck, have a good day, can i get brainliest

GE = 6 and BG = 3

What is centroid?

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

Given that, G is the centroid and BE = 9

The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,

BG = 1/3*BE

BG = 1/3*9 = 3

And,

GE = 2/3*9 = 6

Hence, GE = 6 and BG = 3

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a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.

Answers

Answer:

The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb

The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528

22a + 22b + 22c = 528

a + b + c = 528/22

a + b + c = 24      The only option of three different digits with the sum of 24 is 7, 8 and 9.

Hope this helps, stay safe, and merry christmas!

determine whether the following two lines are parallel perpendicular coincident or intersecting y=-4x+2 and 16y=4x+8

Answers

Answer:

i dont know

Step-by-step explanation:

but i wish you luck

Can someone explain how to work this out?

Answers

Step-by-step explanation:

2.

(13y)° and (8x+y)° are supplementary angles on a straight line therefore:

13y+8x+y=180°

14y+8x=180°——equation 1

Again,

(13y)° and (20x+3y)° are corresponding angles therefore are equal so:

13y=20x+3y

13y-3y-20x=0

10y-20x=0——equation 2

Now we find the value of x and y using the system of equations

Thus,we solve :

14y+8x=180°

10y-20x=0

Solving them,x=5 and y=10

3.We use the same approach for this

3(x+y)° and 5x are corresponding angles and are equal therefore:

3x+3y=5x

3x-5x+3y=0

-2x+3y=0——equation 1

Again,(5x)° and (4x-9)° are supplementary angles on a straight line so:

5x+4x-9=180

9x-9=180°

9x=180+9

9x=189°

x=21

Plug in the value of x into equation 1 for y

-2x+3y=0

-2(21)+3y=0

-42+3y=0

3y=42

y=42/3=14

So x is 21 and y is 14

1. Write an equivalent expression for 3(y - 6) + 4​

Answers

Answer:

3y - 6

Step-by-step explanation:

You basically want to first distribute then combine like terms

3 ( y - 6 + 4 )

Do PEMDAS

3*y + 3 * -6 + 3* 4

( This is the distributed part)

3y - 18 + 12

3y - 6

( This is the combing like terms)

Hope this helped!

3y-6 !! Good luck on the homework

Which rectangular equation is formed by eliminating the parameter?
y = t^3
x = t + 5

Answers

Given :

Two equations :

y = t³

x = t + 5

To Find :

Rectangular equation formed by eliminating the parameter.

Solution :

Putting value of t from second equation to first equation.

We get :

[tex]y = ( x-5)^3[/tex]

Also, t from equation first :

[tex]t = \sqrt[3]{y}[/tex]

Putting the value of t and equation two, we get :

[tex]x = \sqrt[3]{y}+5[/tex]

Therefore, rectangular equation is formed by eliminating the parameter is :

y = ( x - 5)³ and x = ∛y + 5 .

The rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

The options are:

y = (x + 5)³x = (y + 5)³y = (x - 5)³y = (x - 5)²It is given that:

The parametric equations are:

y = t³

x = t + 5

From the second equation that is x = t + 5

Take the value of t and plug in the equation y = t³:

t = x - 5

y = (x - 5)³

The above equation represents a cubic equation.

Thus, the rectangular equation is y = (x - 5)³ which is obtained from the parametric equations y = t³ and x = t + 5 option (3) y = (x - 5)³ is correct.

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SOMEONE PLEASE HELP IF U GET IT RIGHT ILL GIVE U 15 POINTS PLEASE

Answers

Answer:

There is no solution, y-int of one line is positive

Step-by-step explanation:

There is no solution because there are no shared points between both lines, and the y intercept of the blue line is positive, because it is above the x-axis.

Use 3.14 for pi
A bicycle tire has a radius of 12 inches. If the tire rotates 20 {times, about how many inches did
it travel? Round to the nearest inch.

Answers

Answer:9342

Step-by-step explanation:

I am smart UwU

Evaluate: 4x + 8 + x -2 -3x when x= 5 ​

Answers

Step-by-step explanation:

4x + 8 + x - 2 - 3x

= 2x + 6

= 2(5) + 6

= 16.

Answer:

4*5 + 8 + 5 - 2 - 3*5 = 20 + 8 + 5 - 2 - 15 = 28 + 5 - 2 - 15 = 33 - 2 - 15 = 31 - 15 = 16

There are 33 times as many boys as girls in a room. If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally

Answers

Answer:

here are 3 times as many boys as girls in a room. If 4 boys and four girls leave the room, then there will be 5 times as many boys as girls in the room. In total, how many boys and girls were in the room originally?

8 girls

24 boys

There were 24 boys and 8 girls in the room originally.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Given that there are 3 times as many boys as girls in a room.

If 4 boys and 4 girls leave the room, then there will be 5 times as many boys as girls in the room.

Let's assume the number of boys would be b

And the number of girls would be g

According to the given condition, the required solution would be as:

b = 3g               ....(i)

b - 4 = 5 (g - 4) ....(ii)

Substitute the value of b = 3g in equation (ii), and solve for g

3g - 4 = 5 (g - 4)

3g - 4 = 5g - 20

5g - 3g = 20 - 4

2g = 16

g = 8

Substitute the value of g = 8 in equation (i), and solve for b

b = 3 × 8

b = 24

Hence, there are 24 boys and 8 girls in the room.

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I'll give brainly if right​

Answers

Answer: 3.6

Step-by-step explanation:

18/5 simplified equals 3 3/5.

3/5 = 0.6

3 + 0.6 = 3.6

In conclusion, the answer is 3.6.

Hope this helps!

3.6 simple division

Micah is building a structure that requires 3 pieces of wood each measuring 834 feet and 4 pieces of wood each measuring 1058 feet. What is the total length of wood, in feet, that Micah needs?

Answers

Answer:

834*3 + 1058*4 = ___

2,502 + 4,232 = 6,734 feet of wood

Step-by-step explanation:

Answer:

6734 is the answer.

Step-by-step explanation:

834 x 3 = 2502.

1058 x 4 = 4232.

2502 + 4232 = 6734.

A bag has 5 yellow marbles, 3 red marbles, and 2 blue marbles. Quinn randomly picks a marble from the bag and returns it before another is picked. How many times would Quinn expect to a blue marble if he picks a marble 200 times

Answers

Answer:

He would expect to see the blue marble 40 times. Hope this helps!

Step-by-step explanation:

Answer:

40 blue marbles

Step-by-step explanation:

You would find the probability of a blue marble

2 blue/ ( 5+3+2) total

2 divided by 10 is 1/5

Then, you multiply 200 and 1/5 together, which would equal 40.

Quinn should expect to pick 40 blue marbles.

During the 1920s, buying stock on credit was called buying on speculation. buying on a gamble. buying on margin. buying on margin call.

Answers

Explanation: Buying on margin is borrowing money from a broker in order to purchase stock.

I hope this helps!!

During the 1920s, buying stock on credit was called buying on margin or margin trading. Hence, option C is correct.

What is a margin trading?

An act of buying shares or securities of a company without the actual need of having funds in the account, is known as margin trading. A credit facility is granted by the broker to the trader to do margin trading.

In case the trader generates a profit while buying on margin, he or she would get only an amount of the profit made by him or her over such trade. In case of losses, the balance amount became the liability of the trader.

Hence, option C states about margin trading.

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A small cube with side length 6y is placed inside a larger cube with side length 4/2. What is the difference in the
volume of the cubes?
• (4x2 -by) (16** +24x2y+38y?)
• (63-4x2) 36y2 +24x+y+ 16x
• (4x2-by)(4x4 +24x+y+by?)
• (4x2 + 8y)(18** – 24x+y+38y?)

Answers

Answer:

Step-by-step explanation:

Side length of a small cube = 6y

Side length of a larger cube = 4x²

This small cube is placed inside a larger cube. We need to find the difference in the  volume of the cubes.

Volume of small cube, [tex]V_1=(6y)^3=216y^3[/tex]

Volume of lager cube,

[tex]V_2=(4x^2)^3\\\\=64x^6[/tex]

Difference in the volume of the cubes,

[tex]\Delta V=V_2-V_1\\\\=64x^6-216y^3[/tex]

We can simplify the above expression :

[tex]\because \ (a^3-b^3)=(a-b)(a^2+ab+b^2)\\\\(4x^2)^3-(6y)^3=(4x^2-6y)((4x^2)^2+4x^2\times 6y +(6y)^2)\\\\=(4x^2-6y)(16x^4+24x^2y+36y^2)[/tex]

So, the difference in the volumes of the cubes is [tex](4x^2-6y)(16x^4+24x^2y+36y^2)[/tex].

Answer:

see image below

Step-by-step explanation:

What is the correct answer?

Answers

Answer:

pretty sure its B the degree is the biggest number of exonent and the leading coefficient is the number in front of the x that is the biggest. u can look up the graph for end behavior.

Step-by-step explanation:

What is the next fraction in this sequence

Answers

Answer:

the next fraction is 12/15.

Step-by-step explanation:

if you convert each fraction to have a denominator of 15, the numerators will be 4, 6, 8, and 10. the only number that could be next in the sequence is 12

Please help I am bad at math and need to be somewhere soon so please help me asap

The band booster and the athletic booster clubs sell tickets for a fund-raiser. The band booster sells eight more than twice the number of tickets the athletic booster sells. The band booster club sells 280 tickets. Find the number of tickets the athletic booster club sells.

A. 144 tickets
B. 132 tickets
C. 136 tickets
D. 148 tickets

Answers

Answer:

C

Step-by-step explanation:

(280 - 8)/2 = Athletic booster tickets

(280-8)/2 = (272)/2 = 136

Is it legal to keep monkeys in a refrigerator in the United States?

Answers

Answer:

I don't really know but I think it is.

Step-by-step explanation:

What is the best interpretation of c(20) = 65 in terms of the problerm?

Answers

Answer:

I think C would be 3.25

Step-by-step explanation:

Because if you divide 65/20+3.25 sorry if i'm wrong.

WILL GIVE BRAINLIEST TO 1st ANSWER PLEASE HELP!



Which set of pairs is linear and non-linear


1. (2,1), (3,4), (5,6), (2, 7)


2 (3,1), (−3, 1), (0,1), (5,1)


3 (1,1), (2,2), (3,3), (4,4)


4. (4,1), (6, 7), (8, 9), (4,7)


(2,4), (2,5), (2,6), (2,8)

Answers

Answer: 1. Not linear. 2. Linear. 3. Linear 4. Not Linear. 5. Linear.

Step-by-step explanation:

True or false: If two triangles have two pairs of corresponding angles congruent, along with a pair of non-included sides congruent, then the triangles are always congruent

Answers

it’s false i believe.

If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.

Therefore, it is true.

What is the value of x? There is isosceles triangle. The measure of angle which is between two congruent sides is (6x+10⁰). The measures of other angles are (x+17⁰) and (4x-34⁰).

Answers

Answer:-

x=17

step-by-step Explanation:-

[tex]{\boxed{\quad\:\mapsto\rm Firstly\:Let's\:understand\:the\:concept:-}}[/tex]

This is a isosceles triangle. As it is a triangle we can apply sum theory. we have to take the sum of given unknown polynomials as 180° .Then by solving it we can find the value of x.

Solution:-

Given angles

(6x+10°)(x+17°)(4x-34)°

According to sum theory

[tex]{\boxed{\sf The \:sum\:of\:angles=180°}}[/tex]

Substitute the values

[tex]\qquad \quad{:}\longmapsto\tt (6x+10)+(x+17)+(4x-34)=180 [/tex]

Remove brackets

[tex]\qquad \quad{:}\longmapsto\tt 6x+10+x+17+4x-34=180 [/tex]

Together like polynomials and constants

[tex]\qquad \quad{:}\longmapsto\tt 6x+x+4x+10+17-34=180 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x-7=180 [/tex]

Interchange sides

[tex]\qquad \quad{:}\longmapsto\tt 11x=180+7 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt 11x=187 [/tex]

[tex]\qquad \quad{:}\longmapsto\tt x=\cancel{\dfrac{187}{11}}[/tex]

Simplify

[tex]\qquad \quad{:}\longmapsto\tt x=17[/tex]

[tex]\therefore\sf The \:value\:of\:x\;is\:17.[/tex]

In 60 seconds, a car in a parade travels 0.2 mile. The car traveled the last 0.05 mile in 12 seconds. How long did it take for the car to travel 0.1 mile?

Answers

Answer:

First 0.1 miles: 32 seconds

Last 0.1 miles: 28 seconds

Step-by-step explanation:

The car traveled 0.2 mile in 60 seconds.

The last 0.05 miles were done in 12 seconds.

Then the first 0.2 - 0.05 = 0.15 miles were done in 60 - 12 =  48 seconds. The speed of the car was: 0.15/48 = 0.003125 mi/s

At this speed it takes 0.1/0.003125 = 32 s to travel the first 0.1 mile.

In the second 0.1 mile, 0.05 miles are done at the same speed than before. It takes 0.05/0.003125 = 16 s, the next 0.05 miles were traveled in 12 seconds,  making a total of 16+12 = 28 seconds

8 ft
15 ft
What is the length of the hypotenuse?
C =
feet

Answers

Answer:

C = 17

Explanation:

C is the square root of a^2 + b^2

8^2 + 15^2

64 + 225

289

the square root of 289 is 17

Check the Show sine and cosine of ∠A and Show sine and cosine of ∠B boxes. Move point B to various locations so that m∠A is approximately 15°, 30°, 45°, 60°, and 75°. In each case, record m∠A and m∠B and record the sine and cosine of ∠A and ∠B. What relationship do you observe between the sine and cosine of ∠A and the sine and cosine of ∠B?

Answers

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

What are complementary angles?

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

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Find the volume of a hemisphere of radius 5 cm.​

Answers

Answer:

the volume of a hemisphere with a radius of 5 feet is 261.67 cubic feet.

Step-by-step explanation:

What is the value of k^16 - 16^k, if x = 13^2 * 15^4 * 17^6 * 19^8 and is a multiple of 16^k, where k is a whole number?

Note: ^ means to the power of

Answers

Answer:

I tried but I kept getting weird numbers

Step-by-step explanation:

What are the zeros of the function

Answers

the zeros are -2 & -4

Please help me with the work! Thanks

Answers

Answer:

i cant see te pic that good

Step-by-step explanation:

8-4/6-12 =2/3 then 2/3*15=10
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