What is the equation of the line that is parallel to the given line and passes through the point (2, 3)? x 2y = 4 x 2y = 8 2x y = 4 2x y = 8.

Answers

Answer 1

The equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

Given information-

The points through which the line passes is (2, 3).

The points of the line shown in the image attached below is (-4, 0) and (4, -4).

The slope of the line shown in the image which passes through the point (-4, 0) and (4, -4) is,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-4-0}{4-(-4)}\\m=\dfrac{-4}{8}\\m=\dfrac{-1}{2}[/tex]

As the line which passes through the point (2, 3) is parallel to the line shown below. Hence, the slope of it must be equal to that line.

Therefore the equation of the line which passes through the point (2, 3) and has a slope of -1/2, is,

[tex](y-y_1)=m(x-x_1)\\(y-3)=-\dfrac{1}{2}(x-2)\\2(y-3)=-x+2\\2y-6=-x+2\\x+2y=8[/tex]

Thus the equation of the line that is parallel to the given line and passes through the point (2, 3) is,

[tex]x+2y=8[/tex]

Hence, the option 2 is the correct option.

Learn more about the equation of line here;

https://brainly.com/question/13763238

What Is The Equation Of The Line That Is Parallel To The Given Line And Passes Through The Point (2,
Answer 2

Answer:

y = –4

Step-by-step explanation:

What Is The Equation Of The Line That Is Parallel To The Given Line And Passes Through The Point (2,

Related Questions

how to do subtracting unlike fractions easily? ​

Answers

Find the least common multiple of the denominators of the fractions. Write equivalent fractions that have the least common multiple as the denominator.

The figure shows a rhombus ABCD where the diagonals AC and BD intersect at E. Find the value of x.

Answers

Answer: 2

Step-by-step explanation:

Using the Z rule, we get the angle of DCE is 2x + 53

The angle DEC is a right angle as the diagonals of a rhombus always make a right angle

So we get the equation

3x + 7 + 2x + 53 + 90 = 180

5x = 10

x = 2

Samuel wants to eat at least 15grams of protein each day. Let x represent the amount of protein he should meat each day to meet his goal. Which inequality represents this situation?

Answers

Answer:

[tex]x\geq 15[/tex]

Step-by-step explanation:

Samuel wants at least 15 grams

Let's expand on "at least 15"

It means that Samuel wants no less than 15, but 15 or more

It could be 16, but not 14

To create an inequality, 15 or more can be written as [tex]x\geq 15[/tex] (x is 15 more more)

The answer is [tex]x\geq 15[/tex]

Hope this helps :)

Have a nice day!

4-(3x+3)=4x
The way I did was
4-3x+3=4x
Then i group the x
3x-4x=

Now that’s where I got stuck

Answers

Answer:

4-(3x+3)=4x

4-3x-3=4x

4-3=4x+3x

1=7x

x=1/7

or

4-(3x+3)=4x

4-3x-3=4x

-3x-4x=-4+3

-7x=-1

x=-1/-7

-/-=+

so -1/-7 it equal to 1/7

you dont want negative x

x=1/7

Answer:

1/7

Step-by-step explanation:

Take your equation: 4-(3x+3)=4x

Then, use the distributive property to carry out the negative sign, so you get   4-3x-3=4x

Add 3x to both sides to get:  4-3=4x+3x

Add like terms together to get:  1=7x

Flip the sides to get: 7x=1

Divide by 7 on both sides to get 7x/7=1/7

Simplify to get: x=1/7

A square has side length 2x+5 . Find its area.

Answers

Answer: 4x^2 + 20x + 25

Step-by-step explanation:

(2x + 5)^2 = 4x^2 + 20x + 25

5(x+6) in standard form

Answers

Hey there!

5(x + 6)


DISTRIBUTE 5 to WITHIN PARENTHESES

= 5(x) + 5(6)


= 5x + 30


Therefore, your answer is: 5x + 30


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

what is x-72=136 and what is n - 10 = 13 + 5

Answers

Answer:

1) x = 208     2) n = 28

Hope this helps! Have a great day!!

Step-by-step explanation:

1)

x  -  72  =  136

    +  72      +72

x             =    208

2)

 n  -  10  =  13  +  5

 n  -  10  =  18

       +10       +10

        n      =  28

Hello There today we will solve your problem,

First off we will use our definitions so you know what do to next time and make it easier,

Definition

Algebra - the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.

_______________

Now we can start!

[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:ONE}}\mid}}[/tex]

[tex]x-72=136[/tex]

Add 72 to both sides,

Answer : [tex]x=208[/tex]

[tex]\huge\blue{\mid{\fbox{\tt{NUMBER\:TWO}}\mid}}[/tex]

[tex]n-10=13+5[/tex]

Simplify ⇒ [tex]13+5[/tex] ⇒ [tex]18[/tex]

[tex]n-10=18[/tex]

Add 10 to both sides

Answer : [tex]n=28[/tex]

20 points PLEASE HELPPP!!!

Answers

Answer:

1. total area = 135mi²

Step-by-step explanation:

hope this helps :)


A goat (point G) is tied with a 6-foot rope to the corner of a shed. The floor of the shed is a
square whose sides are each 3 feet long. The shed is closed and the goat can't go inside.
The space all around the shed is flat, grassy, and the goat can't reach any other structures
or objects. What is the area over which the goat can roam?

Answers

I hope this helps (:

A trapeziod is always an example of

Answers

Answer:

quadrilateral

Step-by-step explanation:

7.
Find the measurements (CVU
u
630
(3x) (x + 13)
су
T

Answers

Answer:

12.43

Step-by-step explanation:

The x coordinate is zero and
the y coordinate is positive so what quadrant are they located in

Answers

you have to give us more context so that we can answer this

Answer:

If the x-coordinate is (0,0) and the y-coordinate is positive, it is not technically in any quadrant because it is located on the line and not in any quadrant.

Step-by-step explanation:

3x - 2y =6

if x is equal to -1; 0; 1​

Answers

Step-by-step explanation:

if X=-1

3(-1) - 2y =6

-3 - 2y =6

-2y=6+3

-2y =9

y=

[tex] \frac{9}{ - 2} [/tex]

y=

[tex] - 4 \frac{1}{2} [/tex]

If X=0

3(0)-2y=6

0-2y=6

-2y=6+0

-2y=6

y=

[tex] \frac{6}{ - 2} = - 3[/tex]

y= -3

if X=1

3(1)-2y=6

3-2y=6

-2y=6-3

-2y=3

y

[tex] \frac{3}{ - 2} = - 1 \frac{1}{ 2} [/tex]

Unknown Angle Problems (with algebra)

Answers

Answer:

[tex]x = 45[/tex]

Step-by-step explanation:

You'll solve it like this:

[tex]2x+45+x=180[/tex]

Grap it on desmos to check the x value

[tex]x=45[/tex]

Check your answer by substituting:

[tex]2(45)+45+45[/tex]

Which is then equal to [tex]180[/tex]

I need help with this equation please: 24c+36d+18:
Thank you!

Answers

6(4c+6d+3)
Hope it help

Answer

[tex] \: \: [/tex]

[tex] \sf \large \red{ ↬}24c + 36d + 18[/tex]

[tex] \: \: [/tex]

[tex] \boxed{ \sf \large \red{ ↬}6(4c + 6d + 3)}[/tex]

[tex] \: \: [/tex]

Hope Helps!

Urgent and pls explain thoroughly. O is the centre of the circle. OA, OB and OC are radii. Angle AOB = 72°.
Work out
a) angle OAB b) angle OCB c) angle ABC​

Answers

Answer:

<ABC=90° <OCB=36° <OAB=54°

Step-by-step explanation:

<ABC=90°

<ocb= half of aob

<oab + <abc+<ocb=180°(triangle abc)

Answer:

a) ∠OAB = 54°

b) ∠OCB = 36°

c) ∠ABC = 90°

Step-by-step explanation:

a)

If O is the center of the circle, then OA and OB are both the radius.  Therefore, OA = OB

This means that ΔAOB is an isosceles triangle, as is has two sides of equal length (OA and OB).  

The angle between the equal sides (∠AOB) is called the vertex angle.  The side opposite the vertex angle (AB) is called the base and base angles are equal. Therefore, ∠OAB = ∠OBA

Given:

The sum of the interior angles of a triangle is 180°∠AOB = 72°∠OAB = ∠OBA

⇒ ∠OAB + ∠OBA + ∠AOB = 180

⇒ ∠OAB + ∠OBA + 72 = 180

⇒ ∠OAB + ∠OBA = 108

⇒ ∠OAB = 108 ÷ 2 = 54°

b)

Again, we can see that OB and OC are both the radius, so OB = OC.  This means that ΔBOC is also an isosceles triangle, with ∠BOC as the vertex and BC as the base.

Calculate ∠BOC:

Given:

Angles on a straight line add up to 180°∠AOB = 72°

⇒ ∠AOB + ∠BOC = 180

⇒  72 + ∠BOC = 180

⇒ ∠BOC = 108°

Calculate ∠OCB:

Given:

The sum of the interior angles of a triangle is 180°∠BOC = 108°∠OBC = ∠OCB

⇒ ∠OBC + ∠OCB + ∠BOC  = 180

⇒ ∠OBC + ∠OCB + 108  = 180

⇒ ∠OBC + ∠OCB  = 72

⇒ ∠OCB  = 72 ÷ 2 = 36°

c)

Thales's theorem is a special case of the inscribed angle theorem and states that:

If A, B, and C are distinct points on a circle where the line AC is a diameter, then ∠ABC is a right angle.

Given that AC is the diameter of this circle, and points A, B and C are on the circle, then ∠ABC = 90°

what is the value of t in 3(8+t)=25.50

Answers

Answer:

3(8+0,5)=25,5 use calculator :D

You do 3(8) and 3(t) then you do the rest

I NEED HELP ASAP PLEASE
The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

A. Yes, because 9*2 + 12*2 = 15*2
B. No, because 9*2 + 12*2 ≠ 15*2
C. No, because 9+ 12 ≠ 15.
D. Yes, because 9*2 + 12*2 > 15*2

Answers

A is the right answer for this question

Height:?
6 cm
1. The diameter of the cylinder is 6cm
as shown above. What is the height of
the cylinder if the volume is 282.6 cu.
cm. Show your work.

Answers

Answer:

h = 22.5

Step-by-step explanation:

Volume Cylinder = πr²h

Radius = diameter/2

radius = 3

Solve:

282.6 = π(2)^2(h)282.6 = 3.14 * 4 * h90 = 4h22.5 = h

-Chetan K

7a + 3 ( a - 4) please help!!

Answers

Step-by-step explanation:

7a+3a-4

=10a-4

Hope this can help you

Answer:

2(5a-6)

Step-by-step explanation:

[tex]=7a+3(a-4)\\\\=7a+3a-12\\\\=10a-12\\\\=2(5a-6)[/tex]

S $1,595 deposit for 10 years at a simple interest rate of 8%

Answers

Answer:

$2,871.00

Step-by-step explanation:

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8%/100 = 0.08 per year.

Solving our equation:

A = 1595(1 + (0.08 × 10)) = 2871

A = $2,871.00

The total amount accrued, principal plus interest, from simple interest on a principal of $1,595.00 at a rate of 8% per year for 10 years is $2,871.00.

what is the gradient of the blue line , pls i need this done ASAP and someone who's good at maths

Answers

Answer:

-3

Step-by-step explanation:

gradient => (-1-2)/(-1+2)

gradient => -3/1

gradient => -3

541 - 167 8/9 - 3/9 5/8 - 2/8

Answers

Answer:

Q1: 374

Q2: 5/9

Q3: 3/8

Step-by-step explanation:

Q1:

541−167

=541−167

=541+−167

=374

Q2:

8/9 - 3/9

8 - 3 /9

= 5/9

Q3:

5/8 - 2/8

5 - 2 / 8

= 3/8

On Saturday a local hamburger shop sold a combined total of 435 hamburgers and cheeseburgers the number of the cheeseburgers sold was two times the number of hamburgers sold how many hamburgers were sold on Saturday?

Answers

Answer:

145 Hamburgers were sold on Saturday

Step-by-step explanation:

435/3=145

145 x 2=290

290+145=435

Answer:

145 hamburgers

290 cheeseburgers

Step-by-step explanation:

let 'h' = # of hamburgers

let 'c' = # of cheeseburgers

h + c = 435

c = 2h

substitute '2h' for 'c' in the first equation:

h + 2h = 435

3h = 435

h = 145

c = 2(145) = 290

What is important when learning about trig?

Answers

Answer:

-You should already be familiar with algebra and geometry before learning trigonometry. From algebra, you should be comfortable with manipulating algebraic expressions and solving equations. From geometry, you should know about similar triangles, the Pythagorean theorem, and a few other things, but not a great deal.

-Measure the lengths of the sides of sets of similar right angled triangles and find the ratio of sides.

-Investigate the relationship between these ratios and the angle size.

-Use calculators or tables to find the sine, cosine and tangent of angles.

Step-by-step explanation:

basic knowledge i guess

Before beginning trigonometry, you need be comfortable with algebra and geometry. You should be comfortable handling algebraic expressions and solving problems after studying algebra. You should know about similar triangles, the Pythagorean theorem, and a few other things from geometry, but not much else. Students can use trigonometry to calculate the precise angle of a triangle's sides, the distance between distinct points on a triangle, and other information that is useful in a number of situations. Trigonometry is an essential component of ICSE Class 10 Mathematics since it combines memorization, conceptual knowledge, and problem-solving abilities. Because many of the earth's natural formations resemble triangles, it aids children in their comprehension of the globe.

Hope this helps

~ ROR

What are 3 possible solutions for the inequality?​

Answers

Number one gravity number 27 and one shampoo number three the laws of physics

The figure shown is a rhombus. If

Answers

Hoi there :)

The question is unclear. Plesse repost with full question and picture


The points (-6, 5) and (r, 20) lie on a line with slope 5/4
Find the missing coordinate r.

Answers

R = 6
(WORK SHOWN BELOW)

Which equation has the same missing number as the given equation?

Answers

Answer:

The first one would be the answer!

Step-by-step explanation:

318= 218+100 hope this helps:)

Answer:

The first choice

Step-by-step explanation:

318 - 100 = 218 so

218 + 100 must = 318

the first choice

A tent originally costs $450, but it is on sale for 22% off. If a customer buying the tent has a coupon for $20. 00 off of any purchase, what will her final price be on the tent?.

Answers

Answer:

$ 331 :)

Step-by-step explanation:

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