write the equation of the line passing through the given point T (-6,2) and is parallel to the line
y=2/3x

Answers

Answer 1

Answer:

y = [tex]\frac{2}{3}[/tex] x + 6

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 )

y = [tex]\frac{2}{3}[/tex] x ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex] and c = 0

Parallel lines have equal slopes , thus

y = [tex]\frac{2}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 6, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = [tex]\frac{2}{3}[/tex] x + 6 ← equation of parallel line


Related Questions

A store sells shirts to the public at one pricing scale and wholesale at another pricing scale. The tables below describe the cost, y, of x shirts. Public A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 5, 9. Column 2 is labeled y with entries 24, 60, 108. Wholesale A 2-column table with 3 rows. Column 1 is labeled x with entries 18, 35, 50. Column 2 is labeled y with entries 162, 315, 360. How do the slopes of the lines created by each table compare?

Answers

Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

because

Saturn is 8.867 × 108 miles away from the Sun. Uranus is 1.787 × 109 miles away from the Sun. Approximately how many times farther is Uranus from the Sun than Saturn is?
A. 0.2 times

Answers

Answer:

0.2 times

Step-by-step explanation:

Saturn: 8.867 × 108 = 957.636

Uranus: 1.787 × 109 = 194.783

You take (Uranus: 194.783)

& you divide it by (Saturn: 957.636)

You should get a funky number like 0.203399830415732 but since they said approximately you only need to use the first 2 (don't forget to round)

That would make Uranus 0.2 times as far from the sun

Imani is buying a new cell phone for $800.00. She has to put down
20% and finance the rest at an exact interest rate of 6% for 275
days. How much is the maturity value of her loan?

Answers

R87%nsbbxkddjndkxndndnd

The diameter of a cylindrical construction pipe is 4ft If the pipe is 17ft long, what is its volume? Use the value 3.14 for /pi, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Answers

Answer:

214 ft^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the cylindrical construction pipe.

Mathematically, the volume V

V = pi * r^2 * h

r is radius = diameter/2 = 4/2 = 2 ft

h = 17ft

pi = 3.14

Putting these values, we have;

V = 3.14 * 2^2 * 17 = 213.52 which is 214 ft^3 to the nearest whole number

Answer: shes right

Step-by-step explanation:

Jordan bought StartFraction 9 Over 16 EndFraction of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?

Answers

Answer: 1/16 of a pound

Step-by-step explanation:

Here is the complete question:

Jordan bought 9/16 of a pound of sunflower seeds and divided them evenly into 9 snack bags for his lunch. What is the weight of sunflower seeds in each snack bag?

1/16 of a pound

1/9of a pound

16/81 of a pound

81/16 pounds

From the question, we are told that Jordan bought 9/16 of a pound of sunflower seeds and then divided them equally into 9 snack bags for his lunch. To get the weight of sunflower seeds in each snack bag, we will divide 9/16 by 9 snack bags. This can be written mathematically as:

= 9/16 ÷ 9

= 9/16 × 1/9

= 1/16

The weight of sunflower seeds in each snack bag will be 1/16 of a pound.

Answer:

A- 1/16

Step-by-step explanation:

I took the quiz and got it correct :) hope I could help!!!

2+2x=3+2x explain why the equation does not have a solution

Answers

Subtracting [tex]2x[/tex] from both sides gives us the false statement [tex]2=3,[/tex] so this equation can never be true and thus has no solutions.

Mr. Smith plans to serve 200 hamburgers at the company picnic. How many packages of hamburger buns will he need if buns come in packages of 12? How many packages will he need if buns come in packages of 16?

Answers

Answer:

34 packages

25 packages

Step-by-step explanation:

He needs a pair of buns for each hamburger.

He needs 200 hamburger. That means that he needs 400 buns for his picnic.

If buns come in a package of 12, the number of packages he needs is:

400 / 12 = 33.33 packages

Because packages come in whole numbers, we have to round up.

That means he needs 34 packages.

If buns come in a package of 16, the number of packages he needs is:

400 / 16 = 25 packages

When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate. How many miles away is The Dreamy Donut Shop?

Answers

Answer:

3 miles

Step-by-step explanation:

First, we find the rate at which she drives, that is her speed.

Speed is given as:

speed = distance / time

When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:

s = 15 / 30 = 0.5 miles per minute.

She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.

From the formula of speed, distance is given as:

distance = speed * time

Therefore, the distance of The Dreamy Donut Shop is:

distance = 0.5 * 6 = 3 miles

The Dreamy Donut Shop is 3 miles away.

Answer:

The answer is 3 miles

Step-by-step explanation:



Answer:

(a) Increased by %

(b) Increased by %

(c) Decreased by %

(d) Decreased by %

(e) Increased by %

(f) Decreased by %

GRADE ANSWER

Answers

Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

To calculate percentage change, we can use the following formula:

[tex]\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100[/tex]

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%[/tex]

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%[/tex]

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%[/tex]

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%[/tex]

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%[/tex]

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%[/tex]

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

In the triangle below y= .round to the nearest

Answers

Answer:

Step-by-step explanation:

y = atan(10/8) = 51.3 deg

zsdxfghjkluygtfdsa halpp

Answers

Answer:

The answer would be B

Step-by-step explanation:

So you have a totl of 50 rings. You would then add the blue and yellow ones to get 20. Then you divide 20 by 50 and get .4 which is equivalent to 2/5

Answer:

B

Step-by-step explanation:

I agree that the answer is B

help me!!
solve for d

Answers

Answer:

d =±2sqrt(7) i

Step-by-step explanation:

d^2 = -28

Take the square root of each side

sqrt(d^2) = ±sqrt(-28)

d = ±sqrt(-28)

d = ±sqrt(-1)sqrt(28)

We know that sqrt(-1) = i

d =±i*sqrt(4)sqrt(7)

d =±i 2sqrt(7)

d =±2sqrt(7) i

Please answer CORRECTLY !!!!! Will mark BRIANLIEST !!!!!!!

Answers

Answer:

(−8x+1)(x+2)

Step-by-step explanation:

−8x^2−15x+2

−8x^2−15x+2

=(−8x+1)(x+2)

Answer:

(−8x+1)(x+2) Hope this helps!

Answer:

(-8x-1)(x-2)

Step-by-step explanation:

[tex]-8x^{2} +15x + 2=-8x^{2} +16x - x + 2[/tex]

-8x(x-2)-1(x-2)= (-8x-1)(x-2)

Please help!!!!!!!!!

Answers

Answer:

57 degree

Step-by-step explanation:

AB^2 = AC^2+CB^2-2ACCBcosC

AB=25cm

BC^2=AB^2+AC^2-2ABACcosA

A=56.6 degree

What is the quotient (3x^3+10x^2+10x+4) divided by (x+2)?
Possible answers:
3x^2+16x+42
3x^2+4x+2
3x^2-16x+42
3x^2-4x+2​

Answers

Answer:

3x^2+4x+2

please see the attached picture for full solution

hope it helps

Good luck on your assignment..

The quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

What is Division?

A division is a process of splitting a specific amount into equal parts.

We are asked to find the quotient obtained by dividing the expression

(3x³+10x²+10x+4) divided by (x+2)

We can also write this expression as i.e. we are asked to find the value of the expression:

3x³+10x²+10x+4/x+2

We can write the expression on the numerator as:

3x³+10x²+10x+4=(3x²+4x+2)(x+2)

Divide both sides by x+2

3x³+10x²+10x+4/x+2=3x²+4x+2(x+2)/x+2

3x³+10x²+10x+4/(x+2)=3x²+4x+2

Hence, the quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

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In the triangle below x=? Degrees. Round to the nearest tenth.

Answers

Answer:

[tex]40[/tex] °

Step-by-step explanation:

[tex]tan(x)=\frac{8}{10} \\x=tan^{-1} (\frac{8}{10} )[/tex]

[tex]x=38.65980825[/tex]

Answer:

38.7

Step-by-step explanation:

Billy invests £800 for 5 years in a savings account.
By the end of the 5 years he has received a total of £96 simple interest.
Work out the annual rate of simple interest.

Answers

Answer:24

Step-by-step explanation:

First solve:

800*5 = 4,000

Then:

96 divided by 4,000 = 0.024

0.024 in percent = 24%

Thus, 24% will be your answer

Sailors on a ship at sea spot the light from a lighthouse at an angle of elevation of 25°. The light of the lighthouse is 30 meters above sea level. How far from shore is the ship? Round your answer to the nearest meter.

Answers

The distance between the ship and the shore is 63.83 meters.

We have,

Distance between the ship and the shore = x

Use tangent trigonometric identites.

tan θ = perpendicular / Base

tan 25 = 30/x

tan 25 = 0.47

0.47 = 30/x

x = 30/0.47

x = 63.83

Thus,

The distance between the ship and the shore is 63.83 meters.

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. Suppose you plan to make a box that will hold exactly 40 one-inch cubes. Give the dimensions (ex: 1in x 1in x 40in) of 3 possible boxes you can create to hold all cubes.

Answers

Answer:

The dimensions of the three possible boxes are;

Box 1:  2 inches length by 4 inches width by 5 inches height

Box 2:  2 inches length by 2 inches width by 10 inches height

Box 3:  8 inches length by 1 inch width by 5 inches height

Step-by-step explanation:

The dimensions of the required box = 40 in³

Therefore, a box that will hold all the cubes will have a dimension given as follows;

Length, l × Width, w × Height, h = 40 in.³

We therefore, look for possible dimensions of l, w, h, however to make is faster, we note that l × w = base area, BA, hence we look for the factors 40 thus;

BA × h        ≡  l × w × h

8  × 5 = 40 ≡ 2 × 4 × 5 = 40

4 × 10 = 40 ≡ 2 × 2 × 10 = 40

8 × 5 = 40 ≡ 8 × 1 × 5 = 40

Hence we have our three possible boxes as follows;

Box 1: Length = 2 inches, width = 4 inches and height = 5 inches

Box 2: Length = 2 inches, width = 2 inches and height = 10 inches

Box 3: Length = 8 inches, width = 1 inches and height = 5 inches.

PLEASE ANSWER THIS QUESTION !! 20 POINTS AND BRAINLIEST !!

Answers

Answer:

4096

Step-by-step explanation:

Lets start by applying a basic exponent rule. (a*b)^n is equal to a^n * b^n

Therefore,

((9(3/16)^-2)^3/2 = 9^3/2 * ((3/16)^-2)^3/2

Now lets focus on ((3/16)^-2)^3/2

(3/16)^-2 = 1/(3/16)^2 = (16^2/3^2)^3/2.

We can quickly eliminate the fractional exponent by plugging it into the numerator and the denominator and we get, 16^3/3^3 = 4096/27

So now we have, 9^3/2 * 4096/27

We can easily compute 9^3/2, which is (sqrt(9))^3, which is equal to 27.

Therefore, you have, 27*4096/27. The 27 cancels to give us a final answer of 4096

The answer is A also check the picture so you understand what to do Hope it helps

Recall the shipping box scenario from the Introduction. As an employee of a sporting goods company, you need to order shipping boxes for bike helmets. Each helmet is packaged in a box that is n inches wide, n inches long, and 8 inches tall. The shipping box you order should accommodate the boxed helmets along with some packing material that will take up an extra 2 inches of space along the width and 4 inches of space along the length. The height of the shipping box should be the same as the helmet box. The volume of the shipping box needs to be 1,144 cubic inches. The equation that models the volume of the shipping box is 8(n + 2)(n + 4) = 1,144.

Answers

Answer:

The dimensions of the helmet box are as follows

Width is 9 inches

Length is 9 inches

Height is 8 inches

The dimensions of the shipping box ordered are as follows;

Width is 11 inches

Length is 13 inches

Height is 8 inches

Step-by-step explanation:

8(n + 2)(n + 4) = 1144

8·n² + 48·n + 64 = 1144

8·n² + 48·n - 1080 = 0

8×(n - 9)×(n + 15) = 0

∴ n = 9 or -15 inches

The dimensions of the helmet box are as follows

Width = 9 in.

Length = 9 in.

Height = 8 in.

The dimensions of the shipping box ordered are as follows;

Width = 9 + 2 = 11 in.

Length = 9 + 4 = 13 in.

Height = 8 in.

Answer:

8 inches x 11 inches x 13 inches

Step-by-step explanation:

I got correct on edmentum

Amanda used 24 grams of paint to paint a wooden cube. When it dried, she cut the cube into 8 equal cubes. How many more grams of paint does Amanda need to paint the unpainted surfaces of the 8 cubes?

Answers

Answer:

Amanda needs 72 grams of paint

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

[tex]24 \times \frac{24}{8}= 72 \ grams[/tex]

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

please help me with this

Answers

Answer:

54 square feet

Step-by-step explanation:

Area of a triangle is A = 1/2b*h

A = 1/2(9)(12)

A = 1/2(108)

A = 54 square feet

URGENT!!LAST QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!! The following two triangles are similar. Find the missing side length represented by x. A) 25.2 in B) 26.25 in C) 24 in

Answers

Answer:

[tex]x = 26.25[/tex] inches

Step-by-step explanation:

Since we know the triangles are similar, we can simply set up ratios to find the length of side length 'x'.

[tex]\frac{15.75}{x} = \frac{9}{15}[/tex]

Cross multiply:

[tex]236.25 = 9x[/tex]

Divide both sides by '9' to solve for 'x':

[tex]\frac{236.25}{9} = \frac{9x}{9}[/tex]

[tex]x = 26.25[/tex]

Therefore, side length 'x' equals 26.25 in.

You owe $225 on your credit card. You make a $55 payment and then purchase $87 worth of clothes at Target. What is the integer that represents the balance owed on the credit card

Answers

Answer: 83

Step-by-step explanation:

225 - 55 -87= 83

You have $83 left on the credit card as your balance.

HELLLPPPPPPPPPPPPPPPPPP I ONLY HAVE 25 MIN LEFT HELPPPPPPPPPPPPPPPP MEEEEEEEEEEE
f(x) = x ^ 2 + 6x - 4 in vertex form

Answers

Answer: f(x)=(x+3)^2-13 = (-3|-13)

Step-by-step explanation:

x^2+6x-4

x^2+6x+3^2-3^2-4

(x+3)^2-3^2-4

(x+3)^2-13

-5 (3p+3) + 9 (-7 + p) A: -5p-78 B: -6p-78 C: -6p-48 D; -6p+ 78

Answers

Answer:

B. - 6p - 78

Step-by-step explanation:

-5 (3p+3) + 9 (-7 + p)

Expand.

-15p - 15 - 63 + 9p

Rearrange.

-15p + 9p + -15 + -63

Factor out.

p(-15+9) + -(15+63)

p(-6) + -(78)

-6p + - 78

-6p - 78

Answer:

-6p-78

Step-by-step explanation:

=> -5(3p+3)+9(-7+p)

=> -15p-15-63+9p

=> -15p+9p-78

=> -6p-78

Hope this helps!

Don't hesitate asking anything regarding this!

Give other person the brainliest answer :)

f(x) = x2
What is fx) + f(x) + f(x)?

Answers

Answer:

What is f(x) + f(x) + f(x)? 3f(x)

3f(x) = 3x^2

Evaluate 3f(2) = 12

The required value of the additions of the functios is 3x².

Given that,
f(x) = x2

What is fx) + f(x) + f(x) is to be determined,

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax + b is a polynomial.

Here,
f( x ) = x²
Now f(x) +f(x) + f(x) = x² + x² + x²
       f(x) +f(x) + f(x) = 3x²

Thus, The required value of the additions of the functions is 3x².

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Bernard is two years older than his sister Therese and four years younger than his sister
Josephine. The product of his sisters' ages is the age of his mother, 40.

A. If x is Bernard's age, write his two sisters' ages in terms of x.
Answer:

B. Write Bernard's mother's age in terms in terms of x and solve this quadratic equation.

Answer:


C. What is Bernard's age?
Answer:


Please show working out​

Answers

Firstly Bernard = x

A) lets focus on Therese first. Bernard id two years older than her so for Therese’s equation in terms of x it would be x+2. Now for Josephine Bernard is 4 years younger than HER so it would be 4-x.

B) The mother is the PRODUCT of the sisters’ ages so (multiplication)

It would be like this: (x+2)(4-x)= 40 This is all in terms of x.

Solving for the equation (using distributive property) we get:

4x-x+8-2x=40

(Reorganize to group like terms, remember to go in order from the numeral numbers with variables, to variables only then numbers only): 4x-2x-x+8=40 (now combine like terms and simplify): x+8=40 this is his mom’s age in terms of x

C) HERE we can solve for x:

Isolating x to get the answer we move the 8 to the other side of the equation and it becomes a negative 8 so:

x=40-8

x=32

Therefore Bernard is 32 years old.

Hope this helps!

Using the following image, if you EG = 59, what are x, EF, and FG.

Answers

Answer:

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

Step-by-step explanation:

Given: [tex]EG =59 \,\,units[/tex]

To find: [tex]x,EF,FG[/tex]

Solution:

From the image, [tex]EG=EF+FG[/tex]

Put [tex]EF=8x-14\,,\,FG=4x+1\,,\,EG=59[/tex]

[tex]8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6[/tex]

[tex]EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25[/tex]

Therefore,

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

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