find the equation of the line through (5,7) parallel to the line 7x + 5y = 12​

Answers

Answer 1

Answer:

[tex]y -7 = -\frac{7}{5}(x-5)[/tex]

or

[tex]y = -\frac{7}{5}x +14[/tex]

Step-by-step explanation:

Parallel lines are lines which have the same slope. To write the equation of the line parallel, find the slope of the equation 7x + 5y = 12 through conversion into slope intercept form.

7x + 5y = 12 becomes y = -7/5x + 12/5. The slope is -7/5.

Substitute\ m =-7/5 and the point (5,7) into the slope intercept form.

[tex]y-y_1=m(x-x_1)\\y -7= -\frac{7}{5}(x - 5)[/tex]

Convert the equation to slope intercept form by applying the distributive property.

[tex]y -7 = -\frac{7}{5}(x-5)\\y -7 = -\frac{7}{5}x +7\\y = -\frac{7}{5}x +7+7\\y = -\frac{7}{5}x +14[/tex]


Related Questions

PLEASE HELP!!! PICTURE WITH ANSWER CHOICES INCLUDED!
choose the equation that represents the graph below.

Answers

y = -2x - 4 would be the answer

how many cubic feet in a rectangular prism 9 feet long, 4 feet tall and 1 foot wide

Answers

Answer:

36 cubic feet

Step-by-step explanation:

1. know that the equation for volume is l*w*h

2. plug in all the information that is shown in the question. (9*4*1)

3. 9*4*1 is 36 so your answer is 36 cubic feet

Answer: 36 ft³

Step-by-step explanation:

You must apply the formula for calculate the volume of a rectangular prism, which is show below:

[tex]V=l*w*h[/tex]

Where l is the lenght, w is the width and h is the height.

Given the dimensions shown in the problem, you can substitute values into the formula shown above.

Therefore, you obtain that the volume of the rectangular prims is:

[tex]V=(9ft)(1ft)(4ft)\\V=36ft^3[/tex]

What is 9.22 x 10^3 In standard form

Answers

Answer:

9220

Step-by-step explanation:10^3 = 1000 then times it by 9.22 and you should have 9220

Answer:

9220

Step-by-step explanation:

9.22 x 10^4 would be 92200

9.22 x 10^3 would be 9220

9.22 x 10^2 would be 922

9.22 x 10^1 would be 9.22

Can you work out the pattern?. Also you can work this out on your calculator by pressing the standard form button in the bottom middle of your calculator.

Find the surface area of a sphere with a radius of 8 cm

Answers

Answer:

[tex]\large\boxed{803.8\ cm^2}[/tex]

Step-by-step explanation:

The formula of a surface area of a sphere:

[tex]S.A.=4\pi R^2[/tex]

R - radius

We have R = 8 cm. Substitute:

[tex]S.A.=4\pi(8^2)=4\pi(64)=256\pi\ cm^2[/tex]

[tex]\pi\approx3.14[/tex]

Substitute:

[tex]S.A.\approx256(3.14)=803.84\ cm^2[/tex]

Amy wants to construct a fence around her sand -box.

The sand -box is circular in shape with a diameter of 3 ft.

What is the length of fencing material she will need to fence one complete circle around her sand -box?



(Use 3.14 for the value of ∏ (pi))

Answers

Answer:

9.42 feet

Step-by-step explanation:

The distance around the edge of a circle is called the circumference.  The formula for circumference is C = dπ   where d is the diameter.  We are given

d = 3, so we have C = 3π.  We are told to use 3.14 for pi, so we have

C = 3(3.14) = 9.42

How do I solve number 6?

Answers

Answer:

csc^2(theta)

Step-by-step explanation:

1 / cot^2(theta) = tan^2(theta)

=============

sec(theta) = cos(theta)

therefore sec(theta)*cos(theta) = 1/cos(theta) * cos(theta) = 1

==========

tan^2(theta) + 1 = y

One of the fundamental theorems of trigonometry is

tan^2(theta) + 1 = csc^2(theta)

I need help with 5. And 6. Plsss!!

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(5)

x² + (y - 4)² = 25 ← is in standard form

with centre = (h, k) = (0, 4) → A

(6)

here (h, k) = ( 9, - 5) and r = 1, hence

(x - 9)² + (y - (- 5))² = 1², that is

(x - 9)² + (y + 5)² = 1 ← equation of circle

What is 0.9 divided by 54

Answers

The answer is 0.01666667

El resultado es 0.0166666667

HELP ME!!!!!
Mike pays $0.02 in sales tax for every $1 that he
spends. If Mike buys $60 worth of items, what is
the total cost?
A $60.00
B $0.02
C $1.20
D $61.20

Answers

Answer:

1.20

Step-by-step explanation:

you multiply 0.02 by 60 usually 120 but 2 decimal points so move the decimal  2 to the left

One 8-oz serving each of coffee, energy drink, and soda contains 199 mg of caffeine. One serving of coffee has 11 mg more caffeine than two serving of soda. One serving of energy drink contains 33 less caffeine than one serving each of soda and coffee. Find the amount of caffeine in one serving of each beverage

Answers

Answer:

soda = 35mg

coffee = 81mg

energy = 83mg

Step-by-step explanation:

coffee + energy + soda = 199

coffee = 11 + (2 * soda)

energy = (soda + coffee) - 33

(11 + (2 * soda)) + ((soda + (11 + (2 * soda))) - 33) + soda = 199

11 + 2s + s + 11 + 2s - 33 + s = 199

22 + 6s - 33 = 199

-11 + 6s = 199

6s = 210

s = 35

soda = 35mg

c  = 11 + 2s

c = 11 + 2(35)

c = 11 + 70

c = 81

coffee = 81mg

e = s + c - 33

e = (35) + (81) - 33

e = 116 - 33

e = 83

energy = 83mg

Final answer:

One serving of soda contains 35 mg of caffeine, one serving of coffee contains 81 mg of caffeine, and one serving of energy drink contains 83 mg of caffeine.

Explanation:

Let's solve this problem step by step:

Let's assume the amount of caffeine in one serving of soda is x mg. Therefore, the amount of caffeine in two servings of soda is 2x mg.According to the information given, one serving of coffee has 11 mg more caffeine than two servings of soda. So, the amount of caffeine in one serving of coffee is 2x + 11 mg.The information also states that one serving of energy drink contains 33 mg less caffeine than one serving each of soda and coffee. Therefore, the amount of caffeine in one serving of energy drink is (x+2x + 11) - 33 mg.

To find the value of x, we can set up an equation:

(x) + (2x + 11) + [(x+2x + 11) - 33] = 199

Simplifying the equation:

6x + 22 - 33 = 199

Combine like terms:

6x - 11 = 199

Add 11 to both sides:

6x = 210

Divide both sides by 6:

x = 35

Therefore, one serving of soda contains 35 mg of caffeine. Substituting this value into the previous equations:

One serving of coffee contains 2(35) + 11 = 81 mg of caffeine.One serving of energy drink contains 35+(2(35) + 11) - 33 = 83 mg of caffeine.

A triangular poster has a base of 2 1/2 feet and a height of 1 3/4 feet what is the area of the poster

Answers

Answer:

a=[tex]2\frac{3}{16}[/tex]

Step-by-step explanation:

formulas:

a= b x h x [tex]\frac{1}{2}[/tex]

or           (both equations get the same answers)

a= b x h ÷ 2

imma stick with the second one kuz i usually use that one but ur preference.

so,

base(b) = [tex]2\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex]

height(h) = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

now fill it in to the equation:

a=b x h x [tex]\frac{1}{2}[/tex]                        a= b x h ÷ 2

a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] x [tex]\frac{1}{2}[/tex]                         a=[tex]\frac{5}{2}[/tex] x [tex]\frac{7}{4}[/tex] ÷ 2

a=[tex]\frac{35}{16}[/tex]                                   a=[tex]\frac{35}{16}[/tex] ÷ 2

a=[tex]2\frac{3}{16}[/tex]                                   a=[tex]\frac{35}{8}[/tex] ÷ 2

                                          a=[tex]\frac{35}{16}[/tex]  

                                           a=[tex]2\frac{3}{16}[/tex]

o well i did both lol

now you ca compare the two equations now  :]

plz give brainliesttttt

Final answer:

The area of a triangular poster with a base of 2 1/2 feet and a height of 1 3/4 feet is calculated using the formula A = 1/2 × base × height, resulting in an area of 2.1875 square feet.

Explanation:

To find the area of a triangle, we use the formula A = ½ × base × height. Given that the base of the triangle is 2 1/2 feet (which is 2.5 feet when converted to a decimal) and the height is 1 3/4 feet (which is 1.75 feet in decimal), we can calculate the area as follows:

A = ½ × base × height

A = ½ × 2.5 ft × 1.75 ft

A = ½ × 4.375 ft²

A = 2.1875 ft²

Therefore, the area of the poster is 2.1875 square feet.

Eight times a number n less than 72

Answers

Answer:

8*x > 72

x > 72/8

x > 9

The number is any number greater than 9.

It could be 9.5, 10, 11, 12,....

Step-by-step explanation:

The mathematical expression representing the verbal expression given is 8n < 72

What is an expression?

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, a verbal expression. eight times a number n less than 72,

We need to convert it in mathematical expression

So, the expression will be

8n < 72

Now, solving for n,

8n < 72

n < 9

Therefore, values of n below 9 is the solution of the inequality.

Hence, the mathematical expression representing the verbal expression given is 8n < 72

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please hurry

What is the surface area of the cylinder? Express the answer in terms of pi.

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 8/2 = 4

Substitute the values in:

[tex]2\pi (4)(18) + 2\pi (4)^2[/tex]

Solve it:

surface area = [tex]176\pi[/tex]

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

525.64 [tex]cm^{2}[/tex]

Step-by-step explanation:

The formula is S.A. =2[tex]\pi r^{2} + 2\pi rh[/tex]

write the equation out. *raduis is half of diameter, d=8. r=4)

2 x 3.14 x [tex]4^{2}[/tex] + 2 x 3.14 x 4 x 18 = S.A.

Solve

2 x 3.14 x 4^2 = 100.48

Rewrite

100.48 + 2 x 3.14 x 4 x 18 = S.A.

solve second halve

2 x 3.14 x 4 x 18 = 452.16

rewrite

100.48 + 425.16 = 525.64

525.64 [tex]cm^{2}[/tex]

Hope this helped! Please mark as brainliest! Thanks!

Will mark brainliest!❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Subtract the sale price from the original price:

200 - 150 = 50.

Now divide the difference by the original price and then multiply that by 100:

50 / 200 = 0.25 x 100 = 25%

The discount is 25%

I have no clue how to do this

Answers

Answer:

CE = 12

Step-by-step explanation:

ΔCDB and ΔEAB are similar, hence the ratios of corresponding sides are equal

We require to find the length of BC to complete CE

[tex]\frac{BC}{BE}[/tex] = [tex]\frac{DB}{AB}[/tex], substitute values

[tex]\frac{BC}{8}[/tex] = [tex]\frac{5}{10}[/tex] ( cross- multiply )

10BC = 40 ( divide both sides by 10 )

BC = 4

CE = CB + BE =4 + 8 = 12

Retro Rides is a club for owners of vintage cars and motorcycles. Every year the club gets together for a ride. This year, 38 vehicles participated in the ride. The total number of tires of all the vehicles was 104. Assuming each car has 4 tires and each motorcycle has 2 tires, how many each of cars and motorcycles participated in the ride?

A. 18 cars; 20 motorcycles
B. 14 cars; 24 motorcycles
C. 11 cars; 27 motorcycles
D. 16 cars; 22 motorcycles

Answers

Answer: OPTION B

Step-by-step explanation:

Let's call:

c: the number of cars.

m: the number of motorcycles.

Based on the given information, you can set up the following system of equations:

[tex]\left \{ {{c+m=38} \atop {4c+2m=104}} \right.[/tex]

You can solve it by the Elimination method:

- Multiply the first equation by -4.

- Add both equations to cancel out the variable "c".

- Solve for "m":

[tex]\left \{ {(-4)(c+m)=38(-4)} \atop {4c+2m=104}} \right.\\\\\left \{ {-4c-4m=-152} \atop {4c+2m=104}} \right.\\-------\\-2m=-48\\m=24[/tex]

(24 motorcycles)

 - Substitute m=24 into any of the original equations ans solve for "c". Then:

[tex]c+24=38\\c=38-24\\c=14[/tex]

(14 cars)

Hello!

The answer is:

Option B.

[tex]Cars=14\\Motorcycles=24[/tex]

Why?

We know that the total of tires of all the vehicles was 104, and there were 38 vehicles with 4 tires and motorcyles with 2 tires, so, we can calculate how many cars and motorcyles participated in the ride using the following equation:

Let x be the cars and y be the motorcyles, so:

[tex]x+y=38[/tex]

and,

[tex]4x+2y=104[/tex]

So, isolating x in terms of y from the first equation, we have:

[tex]x=38-y[/tex]

Then, substituting "x" into the second equation we have:

[tex]4(38-y)+2y=104\\152-4y+2y=104\\152-2y=104\\2y=152-104\\2y=48\\y=\frac{48}{2}=24[/tex]

Now, substituting "y" into the first equation, we have:

[tex]x+24=38[/tex]

[tex]x=38-24=14[/tex]

So, there were a total of 14 cars and 24 motorcycles in the ride.

Have a nice day!

If A < B, where on the number line will A appear?

A. In exactly the same location as B
B. To the left of B
C. To the right of B

Answers

Answer:

A will appear to the left of B.  The answer is B) hope this helps

Step-by-step explanation:

If A < B, A will appear to the left of B on the number line.

What is the number line?

A number line is a linear line on which points are marked equidistant from each other and used to represent the position of a certain linear number on it.

Where is point A in relation to B?

Let us take an example where A = 2 and B = 3. Here 2 < 3.

We know that 2 is to the left of 3 on the number line.

Now let us take an example of negative numbers. A = -3 and B = -2.

Here, -3 < -2. - 3 is also to the left of - 2.

Therefore we can say that A is always to the left of B.

Therefore, if A < B, A will appear to the left of B on the number line.

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A submarine is descending 2100 feet below the surface .It took 2 hours write an equation to represent the submarines elevation and time

Answers

Answer:

-1050

Step-by-step explanation:

I know the answer because descending means going down so 2100 is the big number and its negative to if you do -2100 divided by 2 then you will get -1050.

Final answer:

The equation to represent the submarine's elevation and time is elevation = 2100 - (rate of descent × 2).

Explanation:

To represent the submarine's elevation and time, we can use the equation:

elevation = starting altitude - (rate of descent ×  time)

Where:

elevation is the depth below the surfacestarting altitude is the initial depth of the submarinerate of descent is the speed at which the submarine is descendingtime is the duration of descent

In this case, the equation would be:

elevation = 2100 - (rate of descent × 2)

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how do you solve -27+(-42)+(-18)?​

Answers

Answer: -87

Step-by-step explanation: −27−42−18

Please Help

Which of the following demonstrates the Distributive Property?


2(3a + 4) = 6a + 4

2(3a + 4) = 3a + 8

2(3a + 4) = 6a + 8

2(3a + 4) = 5a + 6

Answers

Answer:

[tex]\boxed{\bold{2(3a + 4) = 6a + 8}}[/tex]

Step-by-step explanation:

Distributive Property: [tex]\bold{a(b+c) \ = \ (a*b)+(a*c)}[/tex]

2(3a + 4)

----------------------------------------

(2 * 3a) + (2 * 4)

(2 * 3a) = 6a

(2 * 4) = 8

-------------------------------

6a + 8

Determine whether the ordered pair is a solution of the liner inequality.


y + 3 is less than or equal to 2x

(1, 5)

(3, 4)

(4, –2)

(2, 5)

Answers

The given 3rd option is the viable answer.

Answer:

hello : (4, –2)

Step-by-step explanation:

because put : x = 4 and y = - 2  in the inequality    y+3 ≤ 2x  you have :

- 2 +3 ≤ 2(4)

1 ≤ 8 .... right

Is -8 a term

True or false

Answers

Answer:

It is true. It is a number value therefore it is true.

                               

A term can be having a positive or negative value. Therefore -8 is also a term. Hence the given statement is true.

What is the term?

A term or phrase that is used to describe something or to express a thought, particularly in a certain language or field of study.

A term's value might be either positive or negative. Consequently, -8 is also a term.

As a result, the statement is accurate.

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The sum of the digits of a two-digit number is 11. The tens digit is one less than three times the ones digit. Find the original number.

Answers

Answer:

83

Step-by-step explanation:

8 is one less than 3x3

Help me please with my precal! :)

Answers

ANSWER

[tex]y = 5x + 5[/tex]

EXPLANATION

Using any two ordered pairs we can find the equation.

Let us use

(2,15) and (5,30).

The slope is

[tex] = \frac{30 - 15}{5 - 2} = \frac{15}{3} = 5[/tex]

The equation is given by:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-15=5(x-2)[/tex]

This implies that,

[tex]y = 5x - 10 + 15[/tex]

The required equation is

[tex]y = 5x + 5[/tex]

If 2/3x-1=4,then x=
A)15/2
B)8/2
C)13/3
D)10/3

Answers

Answer:

A

Step-by-step explanation:

2/3x-1=4

Add 1 to each side

2/3x = 5

Divide each side by 2/3

x = 7.5

Find the same value...

15/2 = 7.5

Which situation CANNOT be represented by this equation? 

4x+7=314x+7=31

Answers

Answer:

The one on the bottom CANNOT be represented by the equation.

Step-by-step explanation:

For the equation in the problem there has to be a 4x, meaning the cost per case multiplied times the about of them (x). Then there has to be a +7 somewhere in the equation for shipping. The two on the top fit both of those descriptions.

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Choose Yes or No to tell if each equation is true.

2,000 km = 2 m Choose... Yes No

2,000 mm = 2 m Choose... Yes No

20 cm = 200 mm Choose... Yes No

20 m = 2,000 cm Choose... Yes No

Answers

Answer:

#1: No #2: Yes #3: Yes #4: Yes

Unit conversion is a way of converting some common units into another without changing their real value. Only b and c are the correct statements.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

a.) 2,000 km = 2m

No, since 1 km is equal to 1000 m, therefore, 2 m will not be equal to 2,000 km.

b.) 2,000 mm= 2m

Yes, since 1 m is equal to 1000 mm, therefore, 2000 mm will be equal to 2 meters.

c.) 20 cm= 200 mm

Yes, since 1 cm is equal to 10 mm, therefore, the 20 cm will have 200 mm.

d.) 20m = 2,000 cm

No, since 1 meter is equal to 100 cm, therefore, 20 m will not be equal to 2,000 cm.

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Which expressions are equivalent to the one below? Check all that apply. 3^x A. 3 • 3^x + 1 B. 3 • 3^x - 1 C.18^x/3 D.(18/6)^x E. x^3 F.18^x/16^x

Answers

Answer:

B, D, F

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{b^n}=\left(\dfrac{a}{b}\right)^n\\=================\\A.\ 3^{x+1}=3^x\cdot 3\neq3^x\\\\B.\ 3\cdot3^{x-1}=3\cdot3^x\cdot3^{-1}=(3^1\cdot3^{-1})\cdot3^x=3^{1+(-1)}\cdot3^x=3^0\cdot3^x=1\cdot3^x=3^x\\\\C.\ \dfrac{18^x}{3}\neq3^x\\\\D.\ \left(\dfrac{18}{6}\right)^x=(3)^x=3^x\\\\E.\ x^3\neq3^x\\\\F.\ \dfrac{18^x}{6^x}=\left(\dfrac{18}{6}\right)^x=(3)^x=3^x[/tex]

The graph of an equation is shown below:

Based on the graph, which of the following represents a solution to the equation?

(−2,−3)
(2, 1)
(1, 2)
(−3, 2)

Answers

we just have to locate these coordinates on graph and see which one lies on line .

you will find option 4 lies on line so it's the one of the solution of line

Answer:

(--3,2)

The only (x,y) that is on the line is (-3,2)

the rest don't fit on the line.

Help ASAP need the formula and the answer will give brainliest as well as 98 points

Answers

Answer:

its D. 456 in

Step-by-step explanation:

if u multiply 10 x 10 then u get 100. that same square is there twice so if u add it u get 200. then the only one greater than 100 is 456.

Answer:

the answer is d 456^in2

Step-by-step explanation:

hope this helps

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