What is the point-slope of a line that has a slope of 3 and passes through point (1, 4)

What Is The Point-slope Of A Line That Has A Slope Of 3 And Passes Through Point (1, 4)

Answers

Answer 1

Answer:

A. y - 4 = 3 ( x - 1 )

Step-by-step explanation:

Given:

x1 = 1

y1 = 4

slope (m) = 3

Solution:

y - y1 = m ( x - x1 )

y - 4 = 3 ( x -1 )

y - 4 = 3x - 3

y = 3x - 3 + 4

y = 3x + 1


Related Questions

The point A(3,– 1) is translated 5 units up. What are the coordinates of the resulting point, A'?

Answers

3units up means x co-ordinates is kept constant.Only y co-ordinates will increase by 5units

i.e

[tex]\\ \sf{:}\Rrightarrow y+5=-1+5=4[/tex]

New co-ordinates are

A(-3,4)

Last year, the ratio of the ages of Mel and her friend is 3:4. Next year, the ratio will be 4:5. Form two simultaneous equations using the information above, and solve them by using the elimination method. Hence find their ages now.​

Answers

Answer:

Above is the answer, coupled with detailed step-by-step explanations. Thank you!

Solve three questions

Answers

Answer:

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2

someone.. please help me asap...............................................

Answers

Answer :

4x + 9y = 27

Explanation :

Multiply the equation with 9

9( y = -4x/9 + 3 )

9y = -4x + 27

4x + 9y = 27

27 is the answer btw

yler’s brother earns a commission. He makes `2.5\%` of the amount he sells. Last week, he sold `\$9,000` worth of shoes. How much was his commission?

Answers

Answer:His commision is $225Step-by-step explanation: To figure this out, convert 2.5% into a decimal, which is 0.025. Then, multiply the amount he sold by his commission percent. So $9000 * 0.025 =$225

Rationalize the denominator​

Answers

Answer:

[tex]\huge\color{purple}\boxed{\colorbox{black}{Answer♡}}[/tex]

[tex] \frac{2}{ \sqrt{7} - 1} \\ = > \frac{2}{ \sqrt{7} - 1} \times \frac{ \sqrt{7} + 1}{ \sqrt{7} + 1} \\ = > \frac{2( \sqrt{7} + 1)}{ \sqrt{7} {}^{2} - 1 {}^{2} } \\ = > \frac{2 \sqrt{7} + 2}{7 - 1} \\ = > \frac{2( \sqrt{7} + 1)}{6} \\ = > \frac{ \sqrt{7} + 1}{3} [/tex]

[tex]\color{red}\boxed{\colorbox{skyblue}{Additional Information~}}[/tex]

Here..Step 3 contains the algebraic identity

( a + b ) × ( a - b ) = -

Also.. in the very last step ,

we earlier had 2 multiplied to rest of the numerator and 6 in the denominator..

we simply divided both the numerator as well as denominator by 2 and hence got the result obtained.

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hope helpful~

~Be Brainly!~Exhausted Zombie
Here’s the answer….hope it helps ;)

what is g(5)?
g(x)=−x+4, find g(5)

Answers

Answer:

g(5) = -1

Step-by-step explanation:

g(5)= -(5)+4

g(5)= -1

g(x) = -x + 4Putting x = 5, we getg(5) = -5 + 4or, g (5) = -1

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

꧁TheoriesMadeTheWorld꧂

2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368

Answers

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

the students printed 150 flyers to advertise their community dog show. jose posted 40%

Answers

Answer: what’s the full question??

x^2-x+2=0
Please use the quadratic formula

Answers

Answer:

[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]

Step-by-step explanation:

[tex]\sf x^2-x+2=0[/tex]

Use quadratic formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1, b=-1, c=2[/tex]

___________________________

[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]

[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]

_________________

[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]

[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex]

[tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]

_______________________________________

Learn more: brainly.com/question/22286698

Point O is the center of this circle. What is m CAB?
A.55
B.48
C.45
D.35

Answers

Answer is B. 48

By circle theorem, the angle at the centre of the circle is twice the angle at the circumference.

Area of square whose side is 11 cm ________

Answers

Answer:

121 cm²

Step-by-step explanation:

Square's area formula is

A=a²

where a stands for a side of the square

A=(11 cm)²

A=121 cm²

whenever you're talking of area you put cm²

Answer:

Given :

✧ Side of square = 11 cm

To Find :

✧ Area of square

Using Formula :

[tex]\star\small{ \underline{\boxed{\sf{\red{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

Solution :

Substituting the given value in the required formula to find area of square :

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(Side)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11)}^{2}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(11 \times 11)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = {(121)}}}}}}[/tex]

[tex]{\dashrightarrow{\small{{\sf{Area_{(Square)} = 121 \: {cm}^{2}}}}}}[/tex]

[tex]{\star{\small{\underline{\boxed{\sf{\pink{Area_{(Square)} = 121 \: {cm}^{2}}}}}}}}[/tex]

Hence, the area of square is 121 cm².

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4.8 multiplied to 10 to the power -9

Answers

Answer:

000000004.8

Hope it help!

What three consecutive numbers add up to 75?​

Answers

Answer:

24,25,26

Step-by-step explanation:

Answer:24, 25, 26

Step-by-step explanation:

Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.

ANSWER. Robert takes a roast out of the oven when the temperature of the roast is 165 F. After 15 minutes, the temperature of the roast drops to 135 F. The temperature of the room is 70 F. How long does it take for the temperature of the roast to drop to 110 F?

ANSWER IS 34

Took the test :)

Answers

umm!! that’s great to hear- was there any help you needed?

The path of a ball thrown can be modeled by the equation f(x)=−16x^2+45x+6, where x is the horizontal distance. Use a transformation to create a new model in which the ball is thrown twice as far. What is the new equation, what is the transformation, and how did you pick this?

Answers

Answer:

  g(x) = -4x^2 +(45/2)x +6

Step-by-step explanation:

A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).

  g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6

  g(x) = -4x^2 +(45/2)x +6

which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>

Find the equation of the line that goes through ( 2, 4 ) and ( 4, 6 ).

Answers

Answer:

y=x+2

Step-by-step explanation:

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

m=(6-4)/(4-2)

m=2/2

m=1

y-y1=m(x-x1)

y-4=1(x-2)

y=x-2+4

y=x+2

Transversal cuts parallel lines and as shown in the diagram, and m∠4 = 55.1°. What are m∠5 and m∠7? A. m∠5 = 34.9°, and m∠7 = 145.1°. B. m∠5 = 55.1°, and m∠7 = 34.9°. C. m∠5 = 124.9°, and m∠7 = 55.1°. D. m∠5 = 55.1°, and m∠7 = 124.9°. E. m∠5 = 34.9°, and m∠7 = 55.1°.

Answers

Answer:

m < 5 = 55.1 i think im not forsure

Step-by-step explanation:

Whenever the Transversal EF intersects parallel line AB and CD, the values of m∠5 and m∠7 are 55.1° and 124.9°, respectively.

What is an angle?

An angle results from the intersection of two lines at a point. The term "angle" describes the width of the "gap" that exists between these two rays. It's represented by the symbol.

Angles are most frequently measured in degrees and radians, a measurement of roundness or rotation. Angles are a part of everyday existence.

As per the information provided in the question,

Since the transverse line, EF, intersects the line segment AB and CD, it creates equivalent, alternate, and other angles.

As a result, the m∠5 and m∠7 are as follows:

First, supplementary angles ∠5 and ∠7 are present. Since they add up to 180 degrees, they are equal.

Since alternate angles are equivalent, ∠5 is an alternative angle to ∠4. Therefore,

m∠5 ≅ m∠4

m∠5 = 55.1°

So,

m∠5 + m∠7  = 180°

55.1 + ∠7 = 180

∠7 = 180 - 55.1

m∠7 = 124.9°

To know more about an angle:

https://brainly.com/question/28451077

#SPJ2

The base of a triangle is V75 cm and its height is V12 cm. Find its area.

Answers

Answer:

450 cm area

Step-by-step explanation:

Formula 1/2*b*h

1/2*75*12cm

1/2*900

1*450cm

450 is area  PLEASE MARK BRAINLIEST :))

1
x 1.0 -
=
10
1
-
10 x 1.0

Answers

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

The diagonal of a square is 8 cm.
What is the length of the side of this square?
Give your answer as an exact surd in its simplest form

Answers

the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=[tex]\frac{64}{2}[/tex]

a²=32

doing square root on both side

[tex]\sqrt{a²}=\sqrt{32}[/tex]

a=±[tex]\sqrt{2*2*2*2*2}[/tex]

a=±2*2[tex]\sqrt{2}[/tex]

Since side of square is always positive so

a=4[tex]\sqrt{2}[/tex] or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]

Where :

➺ a = side of square ➺ d = diagonal of square

Solution :

Substituting the given value in the required formula :

[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]

Hence, the length of the side of square is 5.6 cm.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

9c+4=-23 solve for x

Answers

9x + 4 = -23
9x = -23 - 4
9x = -27
x = -27/9
x = -3

ANSWER: x = -3
Ok done. Thank to me :>

Light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light
source. The relationship in intensities for subjects at different distances from the same source can
be likewise seen as a ratio or proportional relationship.
I x
A proportional relationship can be mathematically expressed as follows for light intensity (I) in
lumens when a subject is at the light source.
Lumens at current distance
Lumens at origin or source
So, if a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the
source, what is that distance?
Round the value to the nearest tenth if necessary. You do not need to include a label for distance.
Only the number, rounded to the tenth, will be necessary.

Answers

The required distance is 11.4 rounded to the tenth

If light intensity (I) is proportional (a) to the inverse square of distance (d) of a subject from a light  source, this is expressed as:

l = ka/dk is the variation constant

If a light intensity (I) is 516 lumens at the source and 4 lumens at a specific distance from the  source, the distance is calculated as:

l = a/d²

d² = a/l

d² = 516/4

d = √129

d = 11.4

Hence the required distance is 11.4 rounded to the tenth

Learn more on inverse variation here:https://brainly.com/question/13998680

if Sophia took a bath at 9:36 and finish at 10:30 how much time did she use in taking a bath

Answers

Answer:

54 minutes

Step-by-step explanation:

1) There are 60 minutes in an hour. So, you can do 60-36 to find the first value. (24)

2) Add 24 minutes to 30 and get 54 minutes.

what is 225 decreased by 24% ???

Answers

Answer:

171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

New value =

225 - Percentage decrease =

225 - (24% × 225) =

225 - 24% × 225 =

(1 - 24%) × 225 =

(100% - 24%) × 225 =

76% × 225 =

76 ÷ 100 × 225 =

76 × 225 ÷ 100 =

17,100 ÷ 100 =

171

Help please!!!!!!!!!!!!!

Answers

Answer:

Hm? Is there meant to be a file, if so I can’t see it. :((

Step-by-step explanation:

24 % of 175 calculate this

Answers

Answer:

24/100x175 = 42

Step-by-step explanation:

24/100x175 = 42

16 =
ОА. 4
ОВ. 3
ОС. 8
O D. 6

Answers

Answer:

A. 4

Step-by-step explanation:

I hope this helps you!!!

After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second

Answers

Answer:

5 feet per second

Step-by-step explanation:

Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.

(125-50)/(25-10) = 75/15

We need to solve for the feet per (or 1) second, so we have to divide it by 15.

75/15= 5

So, the slope is 5 feet per second.

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