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.

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Related Questions

ab (3a-5b) equals to?

Answers

Answer:

3a^2b-5ab^2

Step-by-step explanation:

Answer:

3a²b-5ab²

Step-by-step explanation:

Distribution method:

ab (3a-5b) = 3a²b-5ab²

what is halfway between 5.3 and 5.4

Answers

Answer:

5.35

Step-by-step explanation:

5.31 5.32 5.33 5.34 5.35

The answer will be 5.35

Help me please. I’m trying very hard.

Answers

Answer:

27/3

Step-by-step explanation:

50-(18+5)= 27

27/3

What will the first step look like in a substitution problem?

y=2x
x+y=9​

Answers

Answer:

x + 2x = 9

General Formulas and Concepts:

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Since we are using substitution, we must replace one variable in 1 equation as the 2nd equation.

We are given:

y = 2x

x + y = 9

Here we see that y equals 2x. We can go ahead and replace in the 2nd equation y.

x + 2x = 9

And we would solve from there.

Triangle P'Q'R is the image of PQR under a transformation

Answers

Answer:

what is your question

Step-by-step explanation:

Answer:

Step-by-step explanation:

there is no picture....

An antelope can run 152.5 miles in 2.5 hours. The average speed of the antelope 62 mi/hr

True
False

Answers

Answer:

Step-by-step explanation:

152.2 miles /2.5 hours= 60.88 mph so false.

check by 62 mph * 2.5 hours = 155 miles or more then what the antelope actually ran.

Find the possible values of x. The perimeter is less than 28 feet. The sides of the triangle are labeled 7 feet, 7 feet, and x. The possible values of x are

Answers

7 + 7 + x < 28
14 + x < 28
x < 14
The value of x is anything less than 14

The possible values of x are positive integers that are less than 14

The perimeter of a figure is the sum of all its sides.

A triangle has 3 sides. The length of the 2 sides are given. The third side is x . Therefore,

perimeter  = 7 + 7 + x

perimeter < 28 feet

Therefore,

7 + 7 + x < 28

14 + x < 28

subtract 14 from both sides

14 - 14 + x < 28 - 14

x < 14

Therefore, the possible value of x are positive integers that are less than 14.

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10 Theo earned £16520 last year and spent 13% of his money on making home improvements.
Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
f
(2)​

Answers

Answer:

2147.60

Step-by-step explanation:

Use the equation to answer the question 12 equals 3x + 6 what is the value of x makes the equation true

Answers

X is equal to 2 because 3(2) is 6 and the remaining 6 is equal to 12 6+6=12
X=2

The tables below represent different ratios of teaspoons of sugar to ounces of iced tea. Which table represents the greatest ratio of sugar-to-iced tea?

Answers

Answer:

Option (C)

Step-by-step explanation:

Option A.

Ratio of table spoons of sugar to ounces of iced tea = [tex]\frac{\text{Amount of sugar (in oz)}}{\text{Amount of ice tea (in oz)}}[/tex]

From the table attached,

Ratio = [tex]\frac{6}{24}[/tex]

         = 1 : 4

Option B.

Ratio of sugar to ounces of iced tea = [tex]\frac{3}{18}[/tex]

                                                            = 1 : 6

Option C.

Ratio of sugar to ounces of iced tea = [tex]\frac{1}{3}[/tex]

                                                            = 1 : 3

Option D.

Ratio of sugar to ounces of iced tea = [tex]\frac{7}{24}[/tex]

                                                            = 7 : 24

                                                            ≈ 1 : 3.43

Since, highest ratio means biggest fraction (with least denominator).

From the given options, biggest fraction is [tex]\frac{1}{3}[/tex].

Therefore, highest ratio of amount of sugar in (tsp) to number of ounces of ice tea is in Option (C).

evaluate (73)^2 using the identity (a+b)^2=a2+2ab+b^2

Answers

73^2 = 5329

There's no identity that can be used.

PLS GIVE BRAINLIEST

The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.

Answers

Answer:

5280

Step-by-step explanation:

I'm American and our system sucks but 1 mile is equal to 5280 feet

May I have brainliest please? :)

Answer:

I'm American and our system sucks but 1 mile is equal to 5280 feet

hcf and lcm of 120 and 180, shown your work

Answers

The HCM and LCM of 120 and 180 are 360.

What is HCF and LCM?

The Highest Common Factor (HCF) of two or more given numbers is the largest number that divides each of the given numbers without leaving any remainder. The Least Common Multiple (LCM) of two or more numbers is the smallest of the common multiples of those numbers.

Given are two numbers as -

120 and 180

We can write 120 and 180 as -

120 = 2 x 2 x 2 x 3 x 5

180 = 2 x 2 x 3 x 3 x 5

HCF of 120 and 180 will be equal to = 2 x 2 x 3 x 5 = 60

Now, we can find LCM using the formula -

LCM(a, b) = (a x b)/HCF(a, b)

LCM(a, b) = (120 x 180)/60

LCM(a, b) = 2 x 180 = 360

Therefore, the HCM and LCM of 120 and 180 are 360.

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What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Answers

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

1.A study was created to test the effects of jazz on people's sleep patterns. The hypothesis of the experiment was

that if people listened to jazz music as they fall asleep, they will sleep for longer periods of time. For the experiment,

2 groups of people were created. Group I was placed in a quiet room where they went to sleep and they were timed

on how long they slept. The Group 2 was placed in a room where jazz music played softly as they began to sleep and

played throughout the night. As each group awoke, their sleep times were monitored.

Independent Variable:

Dependent Variable:

Experimental Group:

Control Group:

3 constants:

?

Answers

Answer:

Independent Variable:  Jazz music

Dependent Variable: Sleeping Time

Experimental Group: people sleeping with jazz music

Control Group: people sleeping without jazz music

3 constants:

No of people in group

Jazz music

Sleep

Step-by-step explanation:

The independent variable is the one which is not altered by any outer influence. For example the jazz music will not be interrupted by the sleeping habits of people.

The dependent variable is the one which is affected by external changes such as sleeping time is afffected by external music or noises.

Experimental group on which experiment is being carried out.

Control group is which determines the changes in experimental group.

Constants which do not change for the number of experiment, could be number of people, type of jazz music, volume of jazz music also sleep is a constant .

0.2x + 1 = 1.6x + 3.1
What value of x satisfies the equation above?

Answers

Answer:

x = -1.5

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

0.2x + 1 = 1.6x + 3.1

Step 2: Solve for x

Subtract 0.2x on both sides:          1 = 1.4x + 3.1Subtract 3.1 on both sides:             -2.1 = 1.4xDivide both sides by 1.4:                 -1.5 = xRewrite:                                            x = -1.5

Step 3: Check

Plug in x to verify it's a solution.

Substitution:                    0.2(-1.5) + 1 = 1.6(-1.5) + 3.1Multiply:                           -0.3 + 1 = -2.4 + 3.1Add:                                 0.7 = 0.7
Your answer is -1.5

I need helppppppppp!!!!

Answers

I drew on the coordinates to help you visualize! :) When moving to the left the Y value stays the same however, the X would decrease by 5.

A pure green beetle is crossed with a pure brown beetle. All of the offspring are green. Which explanation below, correctly explains this phenomenon?

A.Green and brown are equally expressed so they are both dominant.


B.Green is more common than brown so more green genes are passed on.


C.The gene for green color is dominant over the gene for brown color.



D.The gene for brown color is dominant over the gene for green color.

Answers

Answer:

C.

The green color gene is more dominant over the gene for brown color.

Step-by-step explanation:

Whichever gene is dominant is the one that will be applied to the organism.

where is plymoth rock

Answers

Answer:

If u mean plymouth rock then the answer is

Lost at sea, they happened upon a piece of land that would become known as Cape Cod. After surveying the land, they set up camp not too far from Plymouth Rock. ... The 102 travellers aboard the Mayflower landed upon the shores of Plymouth in 1620. This rock still sits on those shores to commemorate the historic event.

Step-by-step explanation:

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24
a. y = 3x – 5 b. y =5-x/3

Answers

Answer:

a -  neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

Solve w + (-2) = -18 for w.

w =

Answers

Answer:

Step-by-step explanation:

w - 2 = -18

w - 2 + 2 = - 18 + 2

w = -16

Answer:

-16

Step-by-step explanation:

w + (-2) = -18 w= -16

Identify the hypotenuse.

A. MN
B. LN​

Answers

Answer:

The hypotenuse is line segment MN.

Step-by-step explanation:

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The angle 90 degrees (also represented by the red line on angle L) always always is opposite to the hypotenuse. Since angle L is 90 degrees, it is opposite of the hypotenuse, which is MN.

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#teamtrees #WAP (Water And Plant)

A farmer's market is selling peaches for $2.00 a pound. If you buy 2 pounds, you save 10% on each pound. How much does it cost to get 2 pounds of peaches?

Answers

Answer:3.6

0

Step-by-step explanation:

Because 10 percent of 1.00 is 0.10 and if you do 10 percent of 1.00 times two it is 20 percent of 2..00 which is 0.4

Write an equation in point -slope form with given information

slope is -5
point at (-3,8)

Answers

Answer:

Step-by-step explanation:

If we know the slope and a point, we can easily write it in point-slope form

[tex]y - y_1 = m(x-x_1)\\y - 8 = -5(x-(-3))\\y - 8 = -5(x+3)[/tex]

how many times bigger is 2 times 10 to the 10th power than 150 million

Answers

Answer: 2 x 10^10 =20000000000

and 150,000,000 is 150 million so you subtract and you get

19,850,000,000

Step-by-step explanation:

VERY URGENT WILL GIVE YOU 100 POINTS

Answers

    Answer:

11x5x+75x+88x+9yx+8y+1212x+3y10a+7b+419a+11a+16b+104a+17b+1112a+2b+244a+3b+12⋅(4x+3)11x+204x+2711x+8y5x+3y+187x+15y+307⋅(x+y)10y+5x+332x+7y+379x+7y+92⋅(3x+4)8x+13

Answer:

1. 11x

2.5x + 7

3. 5x +8

4. 8x + 9y

5. X + 8y +12

6. 12x + 3y

7. 10a + 7b + 4

8. 19a + 11

9. a + 16b + 10

10. 13a + 9b * 11

11. 12a + 2b + 24

12. 4a + 3b + 1

13. 8x + 6

14. 4x + 27

15. 11x + 20

16. 11x + 8y

17. 5x + 3y + 18

18. 7x + 15y + 30

19. 7x + 7y

20. 5x + 10y + 33

21. 2x + 7y + 37

22. 9x + 7y + 9

23. 6x + 8

24. 8x + 13

If a pair of shoes was 25% off and the original price was $80 how much is the amount of the discount?

Answers

The amount of the discount would be 20 Dollars

the perimeter of a right angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5. work out the area of the triangle

Answers

72 = 12x
x= 6

A= 3x
A=18cm
B=4x
B=24cm
C=5x
C=30cm

Area=(A*B)/2
Area=216cm^2

The area of the given triangle will be 216 cm²

What is a Triangle?

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.

We have been given that the perimeter of a right-angled triangle is 72cm. the lengths of its sides are in the ratio 3:4:5.

Let the side lengths of the given triangle be 3x, 4x, and 5x

The perimeter of the triangle = 3x + 4x + 5x

72 = 12x

x = 6

So first side length = 3(6) = 18 cm

So second side length = 4(6) = 24 cm

And third side length = 5(6) = 30 cm

Area of the triangle = (18 × 24)/2

Area of the triangle = 216 cm²

Therefore, the area of the given triangle will be 216 cm².

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find the values of x, y, and z
81
91
99
101
180​

Answers

Z=99, Y=99, and X=81 :)

what is halfway between 8.270 and 8.280

Answers

Answer:

It's 8.275. Hope that helped...

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