Find the equation of the line through point (10,4) and parallel to 3x+5y=8.

Answers

Answer 1
Parallel = same slope
Find slope of 3x + 5y = 8
Turn into y = mx + b
5y = -3x + 8
Divide by 5
y = -3/5x + 8/5
Slope is -3/5
Y = -3/5x + b, find y intercept
Plug in the point
4 = -3/5(10) + b
4 = -6 + b, b = 10
Final equation: y = -3/5x + 10
Answer 2

[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

How to solve equation of the line through point and parallel to a given line?

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Given

Equation of the line is 3x + 5y = 8.

Point = (10, 4)

First we find the slope of the line  3x + 5y = 8 by replacing it into slope intercept form:

[tex]3x + 5y = 8[/tex]

⇒ [tex]5y = -3x + 8[/tex]

⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]

Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].

Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]

⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]

⇒ [tex]5(y-4)=-3(x-10)[/tex]

⇒ [tex]5y-20=-3x+30[/tex]

⇒ [tex]3x+5y=30+20[/tex]

⇒ [tex]3x+5y=50[/tex]

Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

Find out more information about equation of the line here

https://brainly.com/question/27793752

#SPJ3


Related Questions

If correct will mark brainliest !!!!!

Answers

Answer:

equilateral triangle, isosceles triangle, scalene triangle

(Left to Right)

Step-by-step explanation:

Answer:

1-equilateral triangle 2- isosceles triangle 3- scalene triangle

Step-by-step explanation:

Molly walked 3.45 miles on a hike. Her sister walked 1.23 miles. Her brother walked How much farther did Molly walk than her brother and sister combined? 0.85 miles

Answers

Answer:

1.4

Step-by-step explanation:

Jorge drank 500 liters of coke.How many milliliters of coke did he drink?

Answers

Pretty sure its 500000 milliliters.

hope this helps

Answer:

500,000 liters

Step-by-step explanation:

mulitply the volume of the liters value by 1000

64°
70°
to
Find the value of x.

Answers

x=134°

Step-by-step explanation:

180-(64+70)=46

x=180-46

x=134°

Answer:

134*

Step-by-step explanation:

64 + 70 should equal x but to make sure:

180-64-70= 46 then 180 - 46= 134 so yes

1/2 of the sum of a number and 10

Answers

Answer:

1/2(x+10)

Step-by-step explanation:

What is the answer please.... need help

Answers

Answer:

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Step-by-step explanation:

Given the function

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

As the highest power of the x-variable is 3 with the leading coefficients of 1.

So, it is clear that the polynomial function of the least degree has the real coefficients and the leading coefficients of 1.

solving to get the zeros

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex]

[tex]0=x^3-6x^2+3x+10[/tex]              ∵  [tex]f(x)=0[/tex]

as

[tex]Factor\:x^3-6x^2+3x+10\::\:\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]

so

[tex]\left(x+1\right)\left(x-2\right)\left(x-5\right)=0[/tex]    

Using the zero factor principle

if  [tex]ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]

[tex]x=-1,\:x=2,\:x=5[/tex]

Therefore, the zeros of the function are:

[tex]x=-1,\:x=2,\:x=5[/tex]

[tex]f\left(x\right)=x^3-6x^2+3x+10[/tex] is the function of the least degree has the real coefficients and the leading coefficients of 1 and with the zeros -1, 5, and 2.

Therefore, the last option is true.    

Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Nikes cost $75.
They were reduced to $60. What is the percent of change?

Answers

Answer:

15%

75-60= 15

hope this helps

What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6?

Answers

Answer:

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form

Either one works unless the question specifies the form of the equation

Step-by-step explanation:

Point slope form: (y - y1) = m(x - x1)

Given: (-6,1) ; m = 1/6

(y - 1) = 1/6(x - (-6))

y - 1 = 1/6x + 1 <<< Point slope form

y = 1/6x + 2 <<< slope intercept form: y = mx + b

Help please...........bad

Answers

Answer: 0,5, and -4 is the zeros

Step-by-step explanation:

Help me please
Make x the subject of the formula
X – 7r = bc

Answers

Answer:

x = bc + 7r

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define equation

x - 7r = bc

Step 2: Solve for x

Add 7r to both sides:                    x = bc + 7r

Use the lesser than sign in the greater than sign to fill in the middle blanks , between the two numbers given? < , >

Answers

Answer:

-67>-76

|-24|<|-42|

|45|<|-54|

Step-by-step explanation:

The first question is easy, when you're comparing negatives, the number that looks lower is actually greater. The second and third ones are a bit trickier. This --> || means the opposite of. Like |5| means -5. so just swap the numbers around and you have your answer.

For what value of x does 3^2x-9^3x-4

Answers

Answer:

jdjndbncjjsnnxjjxjnxjnsnnx.

Evaluate 1/6t+1/12 when t=1/2

Answers

Answer:

1/6

Step-by-step explanation:

You're welcome :)

will give brainliest
I don't understand algebra 2!!! at all idk why

break it down please help ​

Answers

Answer:

1/5... 1 on top 5 on bottom

Step-by-step explanation:

sub in the values:

[tex]\frac{5+y}{6x}[/tex] will now be [tex]\frac{5+7}{6(10)}[/tex]

now add:

[tex]\frac{12}{60}[/tex]

simplify:

1/5

A rectangular piece of metal is 9 in. longer than it is wide. Squares with sides 3 in. long are cut from the four​ corners, and the flaps are folded upward to form an open box. Which equation indicates that the volume of the box is 80 in. cubed​?

Answers

Step-by-step explanation:

Let the width be = w

The length will be = w+9

And height h = 3 inches ( side of square =3 in)

Volume = l x w x h

According to question

[tex]80 = w(w+9)3\\3w^2+27w-80=0[/tex]

So, this equation indicates that the volume of the box is 80 in.

I really need help
Solve for x

Answers

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

1. Both are corresponding angles, hence they both are equal, so,

[tex]44x + 2 = 45x \\ = > 2 = 45x - 44x \\ = > 2 = x \\ = > x = 2[/tex]

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]10x + 6 + 104 = 180 \\ = > 10x + 110 = 180 \\ = > 10x = 180 - 110 \\ = > 10x = 70 \\ = > x = \frac{70}{10} \\ = > x = 7[/tex]

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

[tex]x + 75 + x + 125 = 180 \\ = > 2x + 200 = 180 \\ = > 2x = 180 - 200 \\ = > 2 x = - 20 \\ = > x = \frac{ - 20}{2} \\ = > x = - 10[/tex]

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

[tex]12x + 3 = 11x + 9 \\ = > 12x - 11x = 9 - 3 \\ = > x = 6[/tex]

Ans. A) 6

If it helps you, please don't forget to follow me.

✌✌✌

Express the following ratios in simplest form: 20:40

Answers

Answer:

1:2

Step-by-step explanation:

By dividing both sides by 20 you will get 1:2 which is the same thing as 20:40 if you multiply 1:2 on both sides by 20

Answer:

1 : 2

Step-by-step explanation:

20 : 40

20/10 : 4/10

2 : 4

2/2 : 4/2

1 : 2

What is the sum of the rational expression below? 3x/x+2 + x/x+4
A. 4x^2 +14x/x^2 + 6x + 8
B. 4x/2x + 6
C. 3x^2/x^2 + 8
D. 4x^2 + 4x +8/x^2 + 6x +8

Answers

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

How to find the sum of the rational expression?

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

Learn more about rational expression on:

brainly.com/question/29061047

#SPJ1

At Gary's car wash 49 cars can be washed in 4 hours. At this rate, how many cars can be washed in 8 hours?

Answers

Answer:

98

Step-by-step explanation:

49 + 49 = 98


Help me pleaseeee I need to finish

Answers

Sorry that looks hard

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines decreased by factor of 4?

Answers

Answer:

88 hours

Step-by-step explanation:

Since we are decreasing the number of machines by a factor of four and all the machines work at the same rate, we are simply going to increase the work hours by a factor of 4

Increasing the work hours by a factor of 4 will yield 22 * 4 = 88 hours

So it will take 88 hours to fill the order if the number of machines is deceased by a factor of 4

I need help

Y=2x+7
X=4
Y=

Answers

Answer:

Y=15

Step-by-step explanation:

2(4)+7

8+7

15

Answer:

Y=15

Step-by-step explanation:

Question: There are 60% of students currently taking AP Biology who have taken previous AP courses. Carver High School has 9 of 15 students who have taken previous AP courses. Design a simulation to determine the probability of getting this number of students, who have taken previous AP courses, in a group this size. Which of the following assignments of the digits 0 through 9 would be appropriate for modeling this situation? (2 points)

Options:
A. Assign 0, 1, and 2 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
B. Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.
C. Assign 0 and 1 as having taken previous AP courses and 2, 3, 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
D.Assign 0, 1, 2, and 3 as having taken previous AP courses and 4, 5, 6, 7, 8, and 9 as not having taken previous AP courses.
E. Assign 7, 8, and 9 as having taken previous AP courses and 0, 1, 2, 3, 4, 5, and 6 as not having taken previous AP courses.

Answers

Answer:

B: Assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

Step-by-step explanation:

Got it right on the quiz

The simulation of this probability is (b) assign 0, 1, 2, 3, 4, and 5 as having taken previous AP courses and 6, 7, 8, and 9 as not having taken previous AP courses.

How to design the simulation?

The proportion of students taking AP biology is given as:

p = 60%

Express as fraction

p = 6/10

This means that for every 10 students, 6 of them are taking AP Biology.

To simulate this, we can make use of 10 numbers (say 0 to 9)

Of this 10 numbers, numbers 0 to 5 (i.e. 6 numbers) can be assigned to students taking AP Biology.

While the other number can be assigned to other students

Hence, the simulation of this probability is (b)

Read more about probability at:

https://brainly.com/question/24756209

#SPJ9

7TH GRADE MATH ASAP. Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he has 11 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 13 left over. How many chairs does Liam have?

Answers

Answer:

  19 chairs

Step-by-step explanation:

you can make two equations

1. y = 8x + 11

2. y = 6x + 13

Y is the number of total chairs and x is the length

so 8x + 11 = 6x + 13

2x = 2

x = 1

so the length is one

To find the total number of chairs just plug in one as x

y = 8 + 11

y = 6 + 13

y = 19

so 19 chairs is the number of chairs Liam has.

What is the unit rate? $101.25 earned in 9 hours

Answers

Answer:

$11.25

Step-by-step explanation:

Answer:

$11.25

Step-by-step explanation:

Divide $101.25 by 9

11.25

So $11.25 were earned each hour.

Hope this helps :)

Please consider Brainliest :)

Find the prime factorization of 32. Write in exponential form.




thank you !!!

Answers

Answer:

2 exponent is 5

Step-by-step explanation:

       5                                  

so 2

If 3x + 6 = 213x plus 6 equals 21, what does x + 2x plus 2 equal?

Answers

Answer:

17

Step-by-step explanation:

PLS GIVE BRAINLIEST

Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.

A scientist poured 1.6 x 103 milliliters of water into a container that already had 2.8 x 104 milliliters of salt water and 9.4 x 103 milliliters of sugar water.

Answers

This question is incomplete

Complete Question

A scientist poured 1.6 x 10³ milliliters of water into a container that already had 2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water. How many milliliters of liquid were in the container?

A.1.7 x 10⁴ milliliters

B.3.58 x 10⁴ milliliters

C.3.74 x 10⁴ milliliters

D.3.9 x 10⁴ milliliters

Answer:

C. 3.74 x 10⁴ milliliters

Step-by-step explanation:

The milliliters of liquid that WERE in the container = The milliliters of liquid that were in the container before adding 1.6 x 10³ milliliters of water

This equals to:

2.8 x 10⁴ milliliters of salt water and 9.4 x 10³ milliliters of sugar water.

Hence:

2.8 x 10⁴ milliliters of salt water + 9.4 x 10³ milliliters of sugar water

= (2.8 × 10⁴) + (9.4 × 10³)

= 37400

= 3.74 x 10⁴ milliliters

Therefore, option C is correct

What is the solution to this equation
-4x + 2 = 26

Answers

Answer:

x=-6

Step-by-step explanation:

Move all terms that don't contain x to the right and solve using the elimination process.

Other Questions
HELP ME !!!!! WRITE A PARAGRAPH! Odysseus should/should not be prosecuted for thecrime of murder ? Help me plz AM SO STUPID AT MATH!!!!U WILL GET BRAINLIEST ! The search for a shorter trade route to Asia led European explorers to establishcolonies and trading posts inalong their wayA. AustraliaB. AsiaC. AfricaD. North America Why did Southern states adopt Black Codes? Why is the U.S. not a member of the International Criminal Court in The Hague in the Netherlands? A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle = 36 and an initial velocity of v = 25 ft/s. Find the change of distance s of the toss if the angle changes by an amount . Hint: Use the following fact derived from Newton's Laws: An object released at an angle with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex] The ratio of the number of boys to the number of girls in a class is 5 to 7. How many boys are there if there are 21 girls? Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate. which of the following is the simplified form of the expression 12z-4y+16z-8y-28z+12y28z-12y-28z-12y28z+12y what format can be applied to text in excel? The function y= 19,800/x is a rational function. Use this function to answer each question. What are the asymptotes of the function? Check all the apply. x=0 x= 19,800 y= 0 y= 19,800 Please help me ! I will mark brainlist What is the correct match of how a physical feature would impact a culture?A) People who live near a river would probably hunt.B) People who live near an ocean would probably not eat seafood.C) People who live in the mountains would probably wear warm clothing.D) People who live in a tropical region would learn to conserve water. What is the inequality shown? What does it mean to follow the Eightfold Path? traveling to India for a religious trip once in ones lifetime living based on the Buddhas teachings to gain enlightenment following the Buddhas rules to earn good karma and achieve reincarnation obeying a book of teachings from the Buddha with instructions for meditation I please need help finding the value of x. On the first math exam, 16 students received an A grade. On the second math exam,12 students received an A. grade. What percentage decrease is that? Which is the value of this expression when a = 5 and k=-2?*32a-2759* 2525975 Does Iodine have cations or anions? PLEASE THIS IS REALLY HARD?! Look at the outline of the US Constitution below:The US ConstitutionI. __________II. Article I: The Legislative Branch A. Section 1 B. Section 2 C. Section 3 D. Section 4 E. Section 5 F. Section 6 G. Section 7 H. Section 8 I. Section 9 J. Section 10III. Article II: __________ A. Section 1 B. Section 2 C. Section 3 D. Section 4IV. Article III: The Judicial Branch A. Section 1 B. Section 2 C. Section 3V. Article IV: The States A. Section 1 B. Section 2 C. Section 3 D. Section 4VI. Article V: Amending the ConstitutionVII. Article VI: The Supremacy ClauseVIII. Article VII: RatificationIX. The __________ and AmendmentsWhich of the following correctly completes line III. Article II: __________ in the outline above?A.Bill of RightsB.The PreambleC.Checks and BalancesD.The Executive Branch