What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Answers

Answer 1

Answer:

y=2x+1

Step-by-step explanation:

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

Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.

1⇒[tex]2x-2x+3y=15-2x[/tex]

2⇒[tex]\frac{3y=15-2x}{3y}[/tex]

[tex]y=5-\frac{2}{3} x[/tex]

We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.

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We know the slope must be between 1 and 3. We know the base must be between 1 and 3.

Using the slope formula y-y/x-x

[tex]\frac{5-3}{0-1} \\ m=2[/tex]


Related Questions

X m, 6 m, 12 m
mathematics and inaquality

Answers

Answer:

djajahshshsk manually sjss

Solve by elimination {(x+3y=4),(-x+4y=10)

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

someone please please help me with this !

Answers

Answer:

Rule for first number (x,-y)

Rule for second number (kx,ky)

Step-by-step explanation:

Ben walks to the zoo, and then walks to the city park. What is the least number of blocks Ben walked?

Answers

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19

I need answers asap please!!!:)​

Answers

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

True or False: △XYZ has sides XY, YZ and XZ that measure 15 cm, 20 cm, and 25 cm respectively is a right triangle.
Please answer please

Answers

Answer:

True

Step-by-step explanation:

As a right triangle, it follows the Pathagorem Therom. All you have to do is multiply 15 x 15 = 225 and 20 x 20 = 400, then finally, you would do 25 x 25, which is the biggest number of all, and get 625. Since 225 + 400 = 625, this follows the Pathagorem Therom.

It rains 7 out of every 10 days.

What is the chance of rain on one day?

Answers

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Please I need emergency help.......

Answers

Answer:

C)

Step-by-step explanation:

Can someone help me please

Answers

Answer:

1

Step-by-step explanation:

1 because the circumference is the diameter x pi. Since the circumference is 3.14, and 3.14 divided by 3.14 is 1, then the diameter is 1.

Without looking, Tammy takes a marble out of a bag that contains 10 red marbles, 15 green marbles, and 25 blue marbles. She records its color and returns the marble to the bag. If Tammy repeats this process 90 times, how many times can she expect to pull out a red marble?

Answers

I think it’s 18 and I will explain how I got that

Explanation: so first I added all the marbles she took out to see the total she took out which was 50 and if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10 (times because we want to see how many times the red marble would come out) and that’s 18

Answer:

18 is the answer

Step-by-step explanation:

added all the marbles she took out to see the total she took out which was 50

if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10

(times because we want to see how many times the red marble would come out) and that’s 18

hope this helps u

Have a nice day : )

Mark brainliest

can someone please help me with this it's due at 11:59​

Answers

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

Twice once number added to another number is 18. If the second number is equal to 12 less than 4 times the first number, find the first two numbers.

2x+y= 12 ; y= __x - __

I really need help with the second part...

Answers

Step-by-step explanation:

2x+y= 12

= 12,18

= 36

so the value of y is 36

value of x is 48

Suppose a 24-acre plot of land is being
divided into 1/3 -acre lots for a housing
development. How many lots will there
be in the development?

Answers

should be 72! 24 divided by 1/3=72

Exponential functions are in the form f(x)=a(b)x−h+k. What does a negative "a" value do the graphed equation?

Moves the equation "a" spaces right
Moves the equation "a" spaces right

Moves the equation "a" spaces left
Moves the equation "a" spaces left

The "a" value can't be negative
The "a" value can't be negative

Reflects the graph over the y-axis
Reflects the graph over the y-axis

Reflects the graph over the x-axis

please answer as soon as possible for brainlist

Answers

That transformation would reflect the graph over the X axis

ANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZANSWER PLZ

Answers

Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation:

if P =(-1,6),find Rx-axis (P

Answers

Answer:

-1,-6

Step-by-step explanation:

The reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

What is reflection?

In mathematics, reflection is a transformation that flips a shape, point, or object over a line, plane, or point. Reflection is also known as flipping, mirroring, or symmetry.

In two-dimensional geometry, the most common type of reflection is a mirror reflection, which involves flipping a shape or point over a line (known as the line of reflection) to create a mirror image. The line of reflection acts as a mirror, and the shape or point is reflected in the mirror as if it were a real reflection.

To find the reflection of the point P=(-1,6) across the x-axis, we can use the following formula:

Rx-axis(P) = (x, -y)

where x is the x-coordinate of P, and y is the y-coordinate of P.

In this case, the x-coordinate of P is -1, and the y-coordinate of P is 6. Therefore, the reflection of P across the x-axis, Rx-axis(P), is:

Rx-axis(P) = (-1, -6)

So the reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

To know more about reflection follow

https://brainly.com/question/20750065

#SPJ2

can someone please help me? i legit have been trying to do this for an hour. ​

Answers

Answer:

The slope is 1/8.

Step-by-step explanation:

So basically, when we are trying to find slope, we think of the change of y over the change of x. And so the change of y between those two points would be 4-2 which is 2. And the change of x would be 32-16, which is 16. Because slope is y/x, therefore the slope is 2/16, which is also 1/8 simplified. I hope this helps!

Answer:

Step-by-step explanation:

The ratio x:y is 1:3
Which of the following statements are correct?
A. x is 1/3 of y
B. y is 2 of (x + y)
C x is 1/4 of y
D. y is 3/4 of x​

Answers

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

WILL MARK BRAINLIESTTTTTTTT
For every 1/4 of an inch a boy grows, he gains 3/4 of a pound. If the boy weighs 64 pounds when he is 52 inches tall, how many pounds will he weigh when he is 53.5 inches tall?

Answers

Answer: 68.5 pounds

Step-by-step explanation:

he grew 1.5 inches, or 6/4 inches, a total of 6 1/4 inches. 6*(3/4) = 4.5.

If he gained 4.5 pounds, then he would be 64 + 4.5 = 68.5 pounds

Answer:

68.5 pounds

Step-by-step explanation:

hope this helps you!

I NEED HELPPP pleaseeeeeee !!!!!!

Answers

Reflection across the x axis

Solve the following quadratic function
by utilizing the square root method.
y = 25x2 - 100
x = +[?]

Answers

Answer:

x = ±√(y/25 + 4)

Step-by-step explanation:

Given the expression;

y = 25x² - 100

We are to make x the subject of the formula;

-25x² = -y - 100

25x²= y + 100

x² = y/25 + 100/25

x²= y/25 + 4

x = ±√(y/25 + 4)

This give the value of x

Pl help it’s for a grade I will give Brainly if right

Answers

Answer:

I am pretty sure its 1.99

Step-by-step explanation:

12/10.99= ~1.09

24/25.99=~0.80

1.09+0.80=1.99

help me plz i’m begging :(

Answers

Answer:

(x2 +2x+1)+(y2+4y)=31+1

(x+1)2 +(y2+4y)=32

(x+1)2 +(y2+4y+4)=32+4

(x+1)2 +(y+2)2=36

The equation can be written in the form (x-p)2 +(y-q)2=r2

so it represents a circle with the radius r=6  and the center (-1,-2)

Step-by-step explanation:

Answer:

6 units is the amswer

Step-by-step explanation:

here you gooo

Given α and β are Supplementary. Show the necessary steps.

If α =3/2β then, what is α = ? and what is β = ?​

Answers

Answer:

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Step-by-step explanation:

α and β are Supplementary (given)

[tex] \therefore \alpha + \beta = 180\degree.... (1)[/tex]

It is given that:

[tex] \alpha= \frac{3}{2} \beta[/tex]

Plugging the value of α in equation (1), we find:

[tex] \frac{3}{2} \beta + \beta = 180\degree[/tex]

[tex]\therefore \frac{3+2}{2} \beta = 180\degree[/tex]

[tex]\therefore \frac{5}{2} \beta = 180\degree[/tex]

[tex]\therefore \beta = 180\degree\times \frac{2}{5}[/tex]

[tex]\therefore \beta = 72\degree[/tex]

[tex]\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree [/tex]

So,

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

1.
Find the slope of the line.



A. 2/3

B. -2/3

C. -3/2

D. 3/2

Answers

Answer: D. 3/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Slope is change in y / change in x

In the graph there is an interception at 0,1 and 2,4

So the change in x is 2 and the change in y is 3

so 3/2

And it's positive since it's going top right.

help please i’m very confused!

Answers

Answer:

A

Step-by-step explanation:

Answer:

(2x+2)+(x+34)

3x+36=180

-36=144

144/3

x=48

Step-by-step explanation:

Please help brainiest to correct answer

Answers

Answer:

x = 1+sqrt(69)/8 about 2.0383

or

x = 1-sqrt(69)/8 about -0.0383

Step-by-step explanation:

Use the quadratic formula:

(Move 17 to the left side first though)

(-b±√(b²-4ac))/2a

(1±sqrt(1-4*1*-17))/2(4)

x = 1±sqrt(69)/8

The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.

the product of gordan’s age and 4 is 52


Helpppppppppopppppopjompmpnkbkbkbkhhhhhhhhhhhhhhhhhhhhhhhhhhhhghhhghhhhhhhh

Answers

It’s 14
4 times 14: 52

What is the volume, in cubic inches, of the container?

Answers

Answer:

The answer is 42 3/4 for this question

The heights of the girls on a basketball team are shown in the table.
pls hurry

Answers

i believe it's 14 if you find the difference between the largest and smallest number
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