Consider the line y=-2/3x+9 . Find the equation of the line that is parallel to this line and passes through the point (-8,3) . Find the equation of the line that is perpendicular to this line and passes through the point (-8,3) .

Answers

Answer 1

The equation of line which is parallel to line is y = (-2x-7)/3.

What is Gradient?

Gradient is the ratio between change in y-axis to change in x-axis.

Here, Given Equation of line is y = [tex]\frac{-2}{3}x+9[/tex]

gradient of line m₁ = -2/3

Equation of line passing through point (-8, 3) and gradient -2/3 (parallel to given line) is

(y - y₁) = m₂(x - x₁)

( y - 3) = -2/3(x+8)

3y - 9 = -2x -16

3y = -2x -16 + 9

3y = -2x -7

y = (-2x-7)/3

Thus, the equation of line which is parallel to line is y = (-2x-7)/3

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Related Questions

You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads.

Answers

Answer:

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

Step-by-step explanation:

Assuming this complete question: "You and your brother are reading the same novel. You want to get ahead of him in the book, so you decide to read 30 minutes longer than your brother reads. Write an equation for the number of minutes you read, y, when your brother reads x number of minutes.

How many minutes will you read if your brother reads for 15 minutes?"

Solution to the problem

For this case we have the following notation:

y= the number of minutes that you read

x = the number of minutes that your brother read

And we have that you decide to read 30 minutes longer than your brother, so the equation would be:

y = x+30

And for the other part of the question if x =15 we got:

y = 15+30 = 45

can you help this is hard

Answers

Answer:

y=1/2x+1= A

y=-2x-4= C

x-2= E

y=-3= F

y=1/2x+3.5=B

I hope this helps

Step-by-step explanation:

You start driving north for 6 miles, turn right, and drive east for another 19 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
mi
Submit Answer
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M
4
G

Answers

Answer:

20 miles

Step-by-step explanation:

This is a Pythagorean Theorem Problem

1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.

2. We use the pythagorean Theorem to solve. We get

[tex]19^2+6^2=C^2[/tex]

Where C is the distance.

Solving that we get that 20 miles is the answer.

The guy above is wrong it’s actually 19.9 since it’s rounded to the first tenth of a mile

Explanation:
6^2 + 19^2 = C^2
36 + 361 = 397
C = √397 = 19.9248… ≈ 19.9

Which of the following expanded forms represents the number words one thousand, six hundred eighty-nine?
O 1,000 + 60 + 80 + 9
O None of thse choices are correct.
O 600 + 80 + 9
O 1,000 + 600 + 80 + 9
O 1,000 + 60 + 8 + 9

Answers

The answer is 1000+600+80+9. please give brainliest

The pool company has learned that, by pricing a newly released Fun Noodle at $5, sales with reach 8000 Fun noodles per day during the summer Raising the price to $6 will cause the sales to fall to 5000 fun noodles per day

Answers

what's the question???????

Jan's electric bill is averaging $8 per day mostly due to the air conditioner. By setting the AC to a higher temperature, closing curtains to block sunlight, and using direct-blowing fans for comfort, Jan reduces the bill to $5 per day. How much did Jan reduce the electric bill for a 30-day month?

Answers

Answer:

$5×30days= $150 for the whole month

Answer: $90 saved

Step-by-step explanation:

8 - 5 = $3 dollars saved each day

Multiply daily amount saved by number of days

$3 × 30 = $90 saved

Grace has a 1/3 cup scoop that she uses to pour sauce on pasta. She uses one full cup for each serving of pasta. Grace has 7 cups of sauce. How many servings of pasta can she make?​

Answers

Answer:

7

Step-by-step explanation:

its a trick question !!

Answer:

This seems like a tricky question... i keep second guessing myself but here goes nothing....

7 servings

please read the explanation.... it always helps....

Step-by-step explanation:

Okay... so we know from the problem that each serving takes one full cup of sauce, and we also know that Grace has seven cups of sauce.... therefore we can conclude that she can make seven servings since 7/1 is 7.

Im not really sure why the question tells us that she uses a 1/3 scoop when we don't really need that when solving the question (which is why i am second guessing myself, but oh well)

i really hope this helps!!!

This window is designed in the shape of a right trapezoid.

Answers

Answer: 128°

Step-by-step explanation:

   There are 360° in a trapezoid. Since this is a right trapezoid, two of those angles will be equal to 90°. We will set up the following equation, and solve.

360° = 90° + 90° + 52° + x°

360° = 90° + 90° + 52° + x°

360° = 232° + x°

128° = x

x = 128°

   The obtuse angle has a measure of 128°.

the volume of a cone is 2307.9 mm^3. The height is 5 mm. What is the radius?

Answers

Answer:

21 mm

Step-by-step explanation:

Given,

Volume of cone ( V ) = 2307.9 mm³

Height ( h ) = 5 mm

To find : Radius ( r )

Formula : -

Volume of cone = πh/3 r²

Note : -

The value of π is 3.14

Volume of cone = πh/3 r²

2307.9 mm³ = 3.14 x 5/3 x r²

2307.9 = 5.23 x r²

Divide 5.23 on both sides,

r² = 2307.9 / 5.23

r² = 441

r² = 21 x 21

r² = 21²

r = 21 mm

Evaluate: [tex]\sqrt{100-36} + 32 - 1[/tex]
Precalculus based question.

Answers

Answer:

39

Step-by-step explanation:

[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]

Hey there!

√(100 – 36) + 32 – 1

= √(64) + 32 - 1

= 8 + 32 – 1

= 40 – 1

= 39


Therefore, the answer should be: 39



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Kate has a box of red nibbon and bhie ribbons The ratio of red ribbons to total ribbons is 5 14 Choose all the statements that are true about Katie's box of ribbons

(A The ratio of total ribbons to blue ribbons is
14:9

(B. The ratio of red ribbons to blue ribbons is 9:5


(C. The ratio of total ribbons to red ribbons is 14:5

(D. There must be 9 more blue ribbons than red ribbons

(E. The ratio of blue ribbons to red ribbons is 9,5​

Answers

D and C.

You already stated the total ratio is 14:5 so that gives you the answer of choice C.

And 5+9=14 so that gives you the answer of choice D.

the value of a varies directly as the square of the value of b, and b=3 when a=10. Find the value of a when b=9.

Answers

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Use proportional thinking to answer the question. Explain how you got an answer without using pencil and paper or a calculator.
If 10% of a number is 4.3, what is
20% of the number?

Answers

Answer:

8.6

Step-by-step explanation:

If we know 10% of a number is 4.3, we can easily find 20% of the number as well.

We know 20% is 2 times 10%.

Therefore,

2 x 4.38.6

Tory’s expenses of $300 in May were at least $40 less than twice her expenses in April. What is the least possible amount of her expenses in April?

Answers

130 because $40 less than 300 is 260 and it said itess than twice so if you divided 360 by 2 you will get 130


Hellppppppppppllpppp

Answers

Answer:

180 in^2

Step-by-step explanation:

S=(1/2)lP + B

B = 10x10 = 100

P = 10(4) = 40

l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.

(1/2)4 x 10 = 20

20(4) = 80

add 100 + 80 = 180

It takes3/4 cup of sugar to make a loaf of bread how much sugar would you need to make 16 loaves of bread

Answers

Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12

More depth explanation:

Multiple: 3/

4

* 16 = 3 · 16/

4 · 1

= 48/

4

= 12 · 4/

1 · 4

= 12

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/

1

.

In other words - three quarters multiplied by sixteen = twelve.

Multiply 16 to 3/4 to get 12

There is a population of 15,500 bacteria in a colony. If the number of bacteria doubles every 234 hours, what will
che population be 936 hours from now?
bacteria

Answers

Answer:

2,48,000

Step-by-step explanation:

Initial population of bacteria = 15,500

Bacteria doubles after every 234 hours

So, after 0 (zero) hours, no of bacteria = 15,500

After 234 hours, no. of bacteria = 2(15,500) = 31,000

After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)

After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)

After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)

Find the surface area of a cylinder with a height of 5 ft and a base radius of 4 ft.
Use the value 3.14 for x, and do not do any rounding.
Be sure to include the correct unit.

Answers

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

This is geometry and I need help

Answers

Answer:

Step-by-step explanation:

Remark

The sine of an angle involves the Hypotenuse. So the first job is to find that.

When you do Sin(H) = opposite / hypotenuse

Hypotenuse

Givens

a = √3

b = √13

c = ?

c is the hypotenuse.

Equation

c^2 = a^2 + b^2                  Substitute values

Solution

c^2 = (√3)^2 + (√13)^2

c^2 = 3 + 13                         Combine

c^2 = 16                               Take the Square Root of Both Sides

√c^2 = √16      

c = 4

Sin(H) = opposite / Hypotenuse

Opposite = √3

Hypotenuse = 4

Sin(H) = √3/4

Sin(H) = 1.7321/4

Sin(H) = 0.4330

Answer

Sin(H) = 0.43

What am I supposed to do here? I will give BRAINLEST and say thank you.

Answers

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Find the area: (I will give brainliest) +50 points.

Answers

Answer:

[tex]A_{total} = 16\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

[tex]A=l*w[/tex]

[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]

[tex]A_{top\ rectangle}=12\ cm^2[/tex]

Step 2:  Determine the area of the bottom rectangle

[tex]A=l*w[/tex]

[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]

[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]

[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]

[tex]A_{total} = 16\ cm^2[/tex]

Answer:  [tex]A_{total} = 16\ cm^2[/tex]

Break in middle horizontally

For square (Below)

Area =Side²=2²=4cm²

For rectangle

Area =LB=6(2)=12cm²

Total area

12+416cm²

Factor the expression completely
9z+15

Answers

Answer:

3(3z + 5)

Step-by-step explanation:

You have to factor out 3 from 9z+15 :)

Please mark brainliest

Susan got to the school bus stop at 6:08, she waited 1 minute for the bus. What time was it when Susan’s bus came?

Answers

Answer:

6:09

Step-by-step explanation:

6:09 is one minute after 6:08

Please help, I'm so confused with this. Attached is a picture

Answers

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

Which of the following are solutions to the inequality below? Select all that apply.

8 ≤ j j = 12 j = 5 j = 6 j =11

Answers

Answer:

    j = 11

    j = 12

Step-by-step explanation:

   The inequality:

8 ≤ j

   We will test all the options given.

-> In short, all options greater or equal to 8 will be solutions.

j = 12

8 ≤ j

8 ≤ 12 ✓

-

j = 5

8 ≤ j

8 ≤ 5 ✗

-

j = 6

8 ≤ j

8 ≤ 6 ✗

-

j =11

8 ≤ j

8 ≤ 11 ✓

Show that if AB=DC in the figure below, then AB is parallel to CD.

Answers

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

What are the properties of a parallelogram?

Note, the figure is a parallelogram

Some properties of a parallelogram are:

The opposite sides of a parallelogram are parallel and equal.The opposite angles are equal.The consecutive angles are supplementary, that is, the sum up to 180°The two diagonals divide each other.

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Learn more about a parallelogram here:

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Reduce the fraction, then change to a mixed number. 20/3

Answers

Given:

[tex] \frac{20}{3} [/tex]

To find:

[tex] \frac {20}{3} [/tex] as a mixed number.

Solution:

First, divide the numerator by the denominator.

[tex]20 \div 3 [/tex]

[tex] = 6 \: R2[/tex]

Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.

[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]

can anyone help me identify the center and radius on these 3 pls , brainly

Answers

Answer:

See below

Step-by-step explanation:

Circle equation standard form

(x-h)^2 + ( y-k)^2 = r^2       h, k is the center

All are centered at 0,0    

radii are  sqrt(225)  = 15    sqrt 49 = 7      and    sqrt 178

A weighted (unfair) die that was purchased at a magic shop was rolled 30 times. The die landed on five dots 25 times. Based on the results, what is the margin of error for the true proportion of times this die would land on five dots? Base your margin of error on a 95% confidence level.

Answers

Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].

Hence the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]

M = 0.1338.

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A circular tabletop has a circumference of 94.2 inches. What is its approximate area?

Answers

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

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