Write the equation of the line that passes through the
point (6,4) and is parallel to 2x + 3y = 18.

Answers

Answer 1
Parallel = same slope
Find slope of 2x + 3y = 18
Start by putting it in y = mx+b form
Y = -2/3x + 18
Slope is -2/3x
Y = -2/3x + b
Plug in the points into equation
4 = -2/3(6) + b
4 = -4 + b
b = 8
Equation: y = -2/3x + 8
Answer 2

The equation of the line that passes through the point (6,4) and is parallel to 2x + 3y = 18 is: y = -2/3x + 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that line passes throuthe gh the point (6,4) and is parallel to 2x + 3y = 18.

Parallel lines have the same slope

To Find slope of 2x + 3y = 18

Then Start by putting it in y = mx+b form;

Y = -2/3x + 18

Slope = -2/3x

Y = -2/3x + b

Now Plug in the points into equation

4 = -2/3(6) + b

4 = -4 + b

b = 8

Hence, the Equation: y = -2/3x + 8

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Related Questions

5x + y = 7
y - intercept = ?​

Answers

The y intercept is 7.

Answer:

y-intercept is = 7

Step-by-step explanation:

WHAT HAPPENED ON THE DAY JUNE 6? PICK ANY YEAR

Answers

Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

Consider the expression –3(y – 5)2 – 9 + 7y.

Which statements are true about the process and simplified product? Check all that apply.

The first step in simplifying is to distribute the –3 throughout the parentheses.
There are 3 terms in the simplified product.
The simplified product is a degree 3 polynomial.
The final simplified product is –3y2 + 7y – 9.
The final simplified product is –3y2 + 37y – 84.

Answers

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

How to Simplify The Product of Polynomials?

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

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» What is 2 to the power of 0? Submit​

Answers

Answer:

1

Step-by-step explanation:

Answer:

2⁰ power is equal to 1

Step-by-step explanation:

Any number with the exponent of 0 will always equal 1, no matter what the number is. Hope it helps!

a cheetah typically runs 15 miles in 1/5 hours how fast dose a cheetah run in miles/hours

Answers

Answer:

in an hour the distance it can carry is 75 miles, so the typical distance for an hour is 75 miles per hour

Step-by-step explanation:

PLEASE HELP!Choose the slope and y-intercept that
correspond with the graph.
Click on the correct answer

Answers

The slope is -3/2 and the y-intercept is -3. If you need me to explain I can do that :) hope this helps

Explain why a + b = d.
B
A
C
swer

Answers

Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Supplementary angles add up to 180°Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

What is the missing angle? PLS HELP

Answers

Answer:

70

Step-by-step explanation:

HURRYYY HELPP!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

Answer:

b

Step-by-step explanation:

max ran 100 feet in and Molly ran 60 feet in 5 seconds. who ran farther

Answers

Answer:

Is Max ran that far in 5 seconds (I’m assuming that because you didn’t Say) then he would of ran farther.

Step-by-step explanation:

Hope this hlps

Answer:

yeah max would of ran further

Step-by-step explanation:

hope you got it right

10. Han is solving an equation. He took steps that are acceptable but ended up with
equations that are clearly not true.
5x + 6 = 7x + 5 - 2x original equation
5x + 6 = 7x - 2x + 5 apply the commutative property
5x + 6 = 5x+5
combine like terms
6 = 5
subtract 5x from each side
What can Han conclude as
result of these acceptable steps?
A. There's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.
B. Any value of x can make the equation 5x + 6 = 7x + 5 - 2x true.
C. x = 6 is a solution to the equation 5x + 6 = 7x + 5 – 2x.
D. x = 5 is a solution to the equation 5x + 6 = 7x + 5 – 2x.

Answers

Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Pls help !!! I've already failed it twice this is my last try please help there's other questions on my account.​

Answers

It’s the third one

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

solve for the variable
-14 = x -7
-12x = 60
x+11 = -11
- x/4 = 2

Answers

1) x= -7
2) x= -5
3) x=-22
4) x =8
Not sure about the last one tho
I tried to help :)

Answer:

x = -7

x = -5

x = -22

x = -8

Step-by-step explanation:

-14 = x - 7 (add 7 on both sides)

-7 = x

-12x = 60 (divide by -12 on both sides)

x = -5

x + 11 = -11 (subtract 11 on both sides)

x = -22

-x/4 = 2 (multiply both sides by 4)

-x = 8 (divide by negative)

x = -8

Hope this helps!!

Helpppp!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

B. Side angle side
Both have two congruent sides and one congruent angle

WILL GIVE BRAINLIEST PLEASE ANSWER
A parallelogram is dilated by a scale factor of 1/4 to produce a new parallelogram. Which of the following best describes the relationship of the area of the new parallelogram to the area of the original parallelogram?

The area of the new parallelogram is 1/2 the area of the original parallelogram.


The area of the new parallelogram is 1/4 the area of the original parallelogram.


The area of the new parallelogram is 1/16 the area of the original parallelogram.


The area of the new parallelogram is 1/8 the area of the original parallelogram.

Answers

Answer: The answer is 1/6.

Step-by-step explanation:

1/4 ^2 = 0.0625 which = 1/16.

The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.

When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.

The given scale factor is 1/4.

Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.

Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."

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The total surface area of a hemisphere is 300 CM square. what is the surface area of a sphere having equal radius to the hemisphere.​

Answers

Answer:

its 4 :)

Step-by-step explanation:

The surface area of a sphere of radius r is 4 π2
π
r
2

Half of this is 2π2
2
π
r
2

Which is the area of hemisphere

The area of a circle of radius r is π2




thus if the hemisphere is meant to include the base then the surface area is

2π2+π2=3π2
2
π
r
2
+
π
r
2
=
3
π
r
2

Hence in this case 3π2=3×π×102=942.477796..

A metal plate measuring 32cm by 12cm is cut into
small squares of side length 4cm. How many squares will
be cut?​

Answers

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

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

Area of the metal plate = [tex] L \times B [/tex]

= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]

Area of small squares = [tex] a^{2} [/tex]

[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]

Number of squares that can be cut =

[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]

Hence 24 squares can be cut.

Write an equation of a line through (4,-1), parallel to y = 1x – 5

Answers

y=1x -1

this is because you only change the z intercept when lines are parallel

How do you change a linear function based on changes in the real world?

Answers

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

Find the slope of the given table

Answers

Answer:

7/3

Step-by-step explanation:

6- 13 = -7

0-3 = -3

7/3

please help meh im so bad at this stuff lol

Answers

Answer:187.5

Step-by-step explanation: I am bad at explaining but il try.

if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.

2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.

BRAINLIEST AND 40 POINTS PLZ HELP I NEVER GET HELP

Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
5.50 units
6.40 units
9.00 units
41.00 units

Answers

6.40 units

You use the squaring method to fill in the triangle.

Count the sides 4 up and 5 across
Square them (16 and 25)
Add them together 16+25=41
Find the square root of 41 (6.40)

Good luck!

Answer:

6.4

Step-by-step explanation:

Graph the equation.
y=2x+5

Answers

Answer: you can use the table of values. And just plug these in

Step-by-step explanation:

x values: -2, -1, 0, 1, 2

Y values: 1,3,5,7,9

You're welcome! :)

Sorry I couldn't insert a picture.

CAN SOMEBODY HELP ME WITH THIS PLEASE

Answers

Answer: d)  y = 8x

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

Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is....

m = (y2-y1)/(x2-x1)

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

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

Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

m = (y2-y1)/(x2-x1)

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

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

To summarize, we have these rates

Marisol's rate = 6 oz per hrTimothy's rate = 9 oz per hr

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

Abby has 96 photos from her vacation. She wants to make a scrapbook that has 24 pages with the same number of photos on each page.

Answers

Answer:

There will be 4 photos on each page

Step-by-step explanation:

96/24=4

1000¥ (Japanese Yen) is equivalent to $8.00. A shirt costing 650¥ would cost how many dollars?

Answers

Answer:

5.20

Step-by-step explanation:

I took a test and that was the answer

nd Practice
3. Divisors and multiples of a number
Consider 28=7x4.
a) What does 4 represent with respect to 28?
b) What does 7 represent with respect to 28?
c) What does 28 represent with respect to
each of the numbers 7 and 4?

Answers

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

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

Answers

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

[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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What Symbol makes them true sentence

Answers

Answer: B

Step-by-step explanation:

Which number line correctly shows –3 – 1.5?

Answers

Answer:

A

Step-by-step explanation:

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