Find an equation for the line parallel to 3x+5y-4=0, with the same x-intercept as 2x-3y-6=0.

Answers

Answer 1

Answer:

It is 4y = -3x + 9

Step-by-step explanation:

[tex]3x + 5y - 4 = 0 \\ 5y = - 3x + 4 \\ y = - \frac{3}{4} x + 4[/tex]

since it is parallel, its slope, m is -¾

[tex]2x - 3y - 6 = 0 \\ - 3y = - 2x + 6 \\ y = \frac{2}{3} x - 2[/tex]

at x-intercept, y is zero

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

therefore

[tex]y = mx + c \\ 0 = ( - \frac{3}{4} \times 3) + c \\ c = \frac{9}{4} [/tex]

equation is

[tex]y = - \frac{3}{4} x + \frac{9}{4} \\ \\ 4y = - 3x + 9[/tex]


Related Questions

Help asapShape A is congruent to shape ____because a 180° rotation about the origin and then a translation unit(s) right maps shape A onto it.
Shape B is congruent to shape____ because a 90° clockwise rotation about the origin and then a translation unit(s) left maps shape B onto it.

Answers

Answer:

Shape A is congruent to shape D and has been translated 2 units to the right

Shape B is congruent to shape E and translated 1 unit to the left.

Step-by-step explanation:

Shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

It is given that:

The shapes are given in the picture.

From the definition of congruency; congruent figures are those that are exactly the same size and shape. Congruent is represented by the symbol .

Form A has been translated into two units to the right and is congruent with shape D.

Form B is translated one unit to the left and congruent to shape E.

Thus, shape A is congruent to shape D and has been translated into 2 units to the right, and shape B is congruent to shape E and translated into 1 unit to the left.

Learn more about the geometric transformation here:

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If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)

Answers

Answer:

4 f(x)

Step-by-step explanation:

step by step explainantion is in picture below

8x-4(x-3)-3(2x+5)-6

Answers

Answer:

8x - 4x + 12 - 6x - 15 - 6

Combine like terms

-2x - 9

If your equation is equal to zero then continue down.

-2x - 9 = 0

-2x = 9

x = -9/2

  = -4  1/2

The diameter of a cylindrical propane tank is 6 feet the total volume is 989.9 cubic feet find the length of the tank

Answers

→20 lb tank: 18” tall and 12” in diameter. Holds 5 gallons of propane. ...

→33 lb tank: 2 feet tall and 1 foot in diameter. Holds 8 gallons of propane. ...

→100 lb tank: 4 feet tall and 18” diameter. ...

→420 lb tank: 4 feet tall by 3 feet diameter. ...

→500 gallon tank: 5 feet tall by 10 feet long.

Hope this helps ^_^  

make a factor tree for 24

Answers

24 = 2 x 12, 24 = 8 x 3, 24 = 6 x 4, draw factor trees that all show 24 = 2 x 2 x 2 x 3 at the end.

Pls give me a brainliest if this helped thx

Step-by-step explanation:

24

^

2 12

^

2 6

^

3 3

^

3 1

Therefore its 2,2,3,3

Function n represents a cubic function that passes through the points (-1,0) and (0,2).
Which statement is true?

Answers

Answer: B

Step-by-step explanation:

y-intercept of m is -6

y-intercept of n is 2

Since -6 < 2:

A: false

B: true

C: false

D: false

what is -x when x= -3


( Evaluate the following expression)

\*/ Algebra 1 \*/ [Algebraic Expressions]

Answers

3 because x= -3 and -x is basically - -3 which 2 negatives make a positive


Find the prime factorization of the greatest
3-digit number

Answers

Answer:

3,3,3,37

Step-by-step explanation:

The greatest 3 digit number is 999

Joy drinks 4 bottles of water per day. Each bottle contains
16.5 fluid ounces. How many fluid ounces of water does
she drink per day?
a) 66 fluid ounces
b) 68 fluid ounces
c) 660 fluid ounces
d) 680 fluid ounces

Answers

Answer:

A) 66

Step-by-step explanation:

I have no explanation to this but hope it's help

Answer:

a) 66 fluid ounces

Step-by-step explanation:

it's easy

all you have to do is multiply the amount of bottles Joy drinks in a day (in this case 4) with the amount of fluid ounces contained in each bottle she's drinking (in this case 16.5)

so in other words

4 x 16.5 = 66

please help me

I will give you 20 points ​

Answers

Your dividing number for both is by 8. Since 8 hours divided by 8 equals 1. You will do the same to the top and get an answer of 25 miles!!

Find all of the missing angles - a, b, c, and d.

Answers

Answer:

a. 65 degree

B. 25 degree

c. 25 degree

d. 75 degree

Step-by-step explanation:

shown in photo.

Mark me brain list if it help you

Answer:

a = 65°

b = 25°

c = 25°

d = 75°

Step-by-step explanation:

60 + a + 55 = 180 (Angles of a straight line)

a + 115 = 180

a = 180 - 115

a = 65°

a + b + 90 = 180 (Interior angles of a triangle add up to 180°)

65 + b + 90 = 180

b + 155 = 180

b = 180 - 155

b = 25°

b = c (Vertically opposite angles are equal)

c = 25°

d + 15 = 90 (Complementary angles)

d = 90 - 15

d = 75°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

measure at least pairs of corresponding angles in XJYN and ZSCH using a protractor. Record your measurements to the nearest 5. what do you notice?

Answers

Answer:

any file to have a reference?

Rebecca bought a square rug for her office. If the area of the rug is 65ft estimate the side length of the rug to the nearest tenth.

Answers

Answer:16.3 ft

Step-by-step explanation:

The estimated value of the side length of the square rug is : 8.062 feets

Given that the area of the square rug = 65 ft²

Recall :

Area of a square = s²

Where, s = side length

Therefore,

Area of rug = s²

65 ft² = s²

65 = s²

Square both sides

√65 = s

8.062 = s

The estimated side length of the rug is 8.062 feets.

Learn more : https://brainly.com/question/1658516?referrer=searchResults

Find the measure(s) of the interior angles of the polygon.

Answers

Answer:

X = 57

3x-6 = 165

Step-by-step explanation:

Udbzkejdnkdjfif

How would I get the answers to 9-14?

Answers

Answer:

9.  38

10.  19

11.  91

12.  89

13.  110

14. 109

Step-by-step explanation:

A line (PT) is always a total of 180 degrees and QVR = RVS (given) so let x = QVR then

PVQ + QVR + RVS + SVT = 180

72 + x + x + 70 = 180

72 + 2x + 70 = 180

2x = 180 - 72 - 70

2x = 180 - 142

2x = 38

x = 19

so

9. QVS = QVR + RVS = 2x = 19 + 19 = 38

10. QVR = x = 19

11. PVR = PVQ + QVR = 72 + 19 = 91

12. TVR = TVS + SVR = 70 + 19 = 89

13. PVS = PVQ + QVR + RVS = 72 + 19 + 19 = 110

14. TVQ = TVS + SVR + RVQ = 70 + 19 + 19 = 109

x =

10
6
5

help please

Answers

Answer:

10

Step-by-step explanation:

2+3=5

5+4=9

the blank in the circle must be more than 10

HELP ME PLEASE ASAP!​

Answers

Answer:

second option

Step-by-step explanation:

Pythagoras for right-angled triangles :

c² = a² + b²

c is the Hypotenuse, the line opposite of the 90 degree angle.

a and b are the other 2 sides.

the distance between 2 points is the Hypotenuse of a right-angled triangle of the coordinate differences in x and y.

so, we have (-2, -3) and (3, 2)

distance² = (x1 - x2)² + (y1 - y2)² = (-2 - 3)² + (-3 - 2)² =

= (-5)² + (-5)² = 25 + 25 = 2×25 = 50

distance = sqrt(50) = sqrt(2×25) = 5×sqrt(2)


-6 + 3a - b - 4a + 4b + 5

Answers

Step-by-step explanation:

hope this may help you tq have a nice day

Given the points X(-9, 2) and Y(5, -4), find the length of XYXY. Round to the nearest hundredth.

Answers

Answer:

15.23

Step-by-step explanation:

the length of XY =√(5+9)²+(-4-2)²

=√14²+(-6)²

=√196+36

=√232

= 15.23

X(-9,2) Y(5,-4)

[tex]\\ \rm\longmapsto XY=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(5+9)^2+(-4-2)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{(14)^2+(-6)^2}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{196+36}[/tex]

[tex]\\ \rm\longmapsto XY=\sqrt{232}[/tex]

[tex]\\ \rm\longmapsto XY=15.2[/tex]

the solution for 3x-5=2x+3-(x-4)​

Answers

Answer:

3x-5=2x+3-(x-4)

first deal with the bracket first. multiply -1 by x and -4.

3x-5=2x+3-x+4

group like terms that is sort them according to the letters.

3x+x-2x=3+4+5

4x-2x=12

2x=12.divide both sides by 2.

2x=12

2 2

x=6

There are 75 boys, 60 girls and 15 teachers at a kindergarten.
What is the simplest ratio of boys to girls to teachers?

Answers

Answer:

boys:girls:teachers

5      :    4        :1

Step-by-step explanation:

75 boys, 60 girls and 15 teachers

boys:girls:teachers

75     : 60  :15

Divide each  term by 15

75 /15 : 60/15  :15/15

5      :    4        :1

kendra revived a bonus that was 30%of her monthly earnings is her monthly earnings were 930 how much was kendras bonus

Answers

Hey there! I'm happy to help!

30% is the same thing as 0.3 because 0.3 is 30% of 1. If you multiply something by 1, it will just stay the same, so you need that percent of 1.

To convert a decimal to a percent, you move the decimal to the left two spaces.

Now, we simply multiply this by 930.

0.3×930=279

So, Kendra will receive a bonus of $279.

Have a wonderful day and keep on learning! :D

3(x+12)-2=10 Hope you can answer this for me. Thank you so much and have a good day .

Answers

Hope it helpssss !!!!!!!

The total length of the stage is 76 feet. An actor starts at point A then stops at point B before disappearing through the trap door. How far does he walk across the stage?

Answers

Answer:

since the distance from the outside edges is 26 1/2 feet, divide that by 2 to get the distance from the center to the edge ( 26 1/2 / 2 = 13 1/4 feet)

the stage is 76 feet so divide that by 2 to find the center 76/2 = 38 feet

now subtract the 13 1/4 from 38

38 - 13 1/4 = 24 3/4 feet from the side of the stage to the edge of the trap door

a little easier way would be to subtract the 26 1/2 from 76 and then divide by 2

76-26 1/2 = 49 1/2 / 2 = 24 3/4

Step-by-step explanation:

https://brainly.com/question/4710320?referrer=searchResults

prove this question
please​

Answers

Answer:

see explanation

Step-by-step explanation:

Consider the left side

[tex]cos^{4}[/tex]A + [tex]sin^{4}[/tex]A - 2cos²Asin²A ← is the expansion of

= (cos²A - sin²A)²

Substitute sin²A = 1 - cos²A

= (cos²A - (1 - cos²A) )²

= (cos²A - 1 + cos²A)²

= (2cos²A - 1 )²

= right side , then proven

BRAINLIEST FOR THE RIGHT ANSWER! THANKS! Indicate in standard form the equation of the line through the given points, writing the answer in the equation box below.
P (0, -4), Q (5, 1)

Answers

Answer:

- X + Y = -4  is the standard form

Y =1X  -4  is the  slope intercept form

Step-by-step explanation:

x1 y1  x2 y2

0 -4  5 1

   

(Y2-Y1) (1)-(-4)=   5  ΔY 5

(X2-X1) (5)-(0)=    5  ΔX 5

   

slope= 1          

B= -4          

   

Y =1X  -4    

Name two rays shown in the figure

Answers

Answer:

There are only 1 ray because a ray only has 1 side that has a little tiny ball

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

Solve for q

Answers

Answer:

-1 9/10

Step-by-step explanation:

-3/10q - 8/5q + 9 = 10

-3/10q - 16/10q + 9 = 10

-19/10q + 9 = 10

-19/10q = 1

-19 = 10q

-19/10 = 10q/10

-1  9/10 = q

If 35 = 5x, then 9 - 7x = ?

Answers

Answer:

Since 35/7=5,  5x7=35.

So x=7.

9-7=5

5x=35

help if you can id appreciate it

Answers

Less than 14 means

x < 14

Answer:

A. x < 14

Step-by-step explanation:

'<' = "less than"

'=' = "equal to"

'>' = "greater than"

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