Graph the line with a slope of 2/5 that goes through (3,1)

Graph The Line With A Slope Of 2/5 That Goes Through (3,1)

Answers

Answer 1

Answer:

[tex]y = \dfrac{2x}{5} - \dfrac{1}{5}[/tex]

Step-by-step explanation:

Given:

[tex]\bullet \ \ \text{Slope of line:}\ \dfrac{2}{5} \\\\ \bullet \ \text{Passes through:} \ (3, 1)[/tex]

To determine the equation of the line, we will use point slope form.

Formula of point slope form:

→ y - y₁ = m(x - x₁)

Where "x₁" and "y₁" are the coordinates of the point and "m" is the slope.

Substitute the coordinates and the slope:

[tex]:\implies y - 1 = \dfrac{2}{5} (x - 3)[/tex]

Simplify the R.H.S:

[tex]:\implies y - 1 = \dfrac{2x}{5} - \dfrac{6}{5}[/tex]

Add 1 both sides:

[tex]:\implies y - 1 + 1 = \dfrac{2x}{5} - \dfrac{6}{5} + 1[/tex]

Simplify the equation:

[tex]:\implies y = \dfrac{2x}{5} - \dfrac{6}{5} + \dfrac{5}{5}[/tex]

[tex]:\implies \boxed{y = \dfrac{2x}{5} - \dfrac{1}{5}}[/tex]

Graphing the line on a coordinate plane:

In this case, we are already given a point (3, 1). We can simply plot the y-intercept [tex][\bold{\frac{-1}{5} }][/tex] on the coordinate plane. Then, we can draw a straight line through both points. It is suggested that you use a ruler to do so.

Graph attached**

Graph The Line With A Slope Of 2/5 That Goes Through (3,1)
Answer 2

Answer:

See attachment and explanation

Step-by-step explanation:

slope is x/y, which means for each x how many y's it moves by.

so,

2/5 means for every 2 x's it goes up by 5 y's.

so,

you take the point A and go right 2 and go up 5. That's the next point (5,6)

Same with the point other side of A. Go left 2 and go down 5. That's another point (1,-4)

Since, the slope 2/5 is positive, the line will be an increasing line. As shown in the attached image.

Graph The Line With A Slope Of 2/5 That Goes Through (3,1)

Related Questions

I need help plsss ..............

Answers

48 = 3x
ab = 0
b^2 = x
b + 2x + a = m [we need to find “m”]

48 = 3x, so x = 16
b^2 = 16, so b = 4 (or - 4)

4 + 32 + 0 = 36
- 4 + 32 + 0 = 28
[there are two solutions to this problem]

What is (3^2)^4? Pls help will give crown if explanation is fair

Answers

Answer:

answer is the frist picture

Step-by-step explanation:

Having which of the following is a trait for a architectural designer

Answers

Answer:

Architect Characteristics

Negotiation Skills

Love of Learning

Broad Knowledge

Love of Nature

Hard Workers

Step-by-step explanation:

1. Mr. Samuel had 13 notes in his wallet. They consist of $1. $5 and $10 notes. The total amount of the notes adds up to $93. How many $10 notes are there in his wallet?​

Answers

Answer:

8 $10 notes

Step-by-step explanation:

I started by working it backwards. $93-$3 equals $90. So we have three of our 13 notes. We need ten more. Well the most $10 notes we can have is 8. if we had 8 $10 notes that would give us $80. $90-$80=10. We can take ten and divide it by five so we have 2 $5 notes.

So in total he would have 8 $10 notes, 2 $5 notes, and $3 one dollar notes which adds up to 13 notes

Determine if the given relation is function or not. Give its domain and
range.
{(1, 6), (2, 7), (3, 8), (4, 9)}

Answers

Answer:

Yes

Step-by-step explanation:

According to definition of the function, it should have one-to-one relation.

We can see all pairs are unique, no repeated ranges for same domain.

Yes, this is a function.

Given relationship

(1,6)(2,7)(3,8)(4,9)

Domain:-

{1,2,3,4}

Range:-

{6,7,8,9}

As every domain has an unique range it's a function


I NEED HELPP PLEASE

Answers

Answer:

√17

Hope it helps.......

can somebod help me with this

kinda forgot how to do it

Answers

Answer:

21.98

Step-by-step explanation:

u have 2 multiply 3.14 and 7

ur wlcm

Answer:

21.98

Step-by-step explanation:

might be 21.99 but schould be 21.98

c=pie(d)

C=3.14(7)

21.98=7x3.14

4.
Find the value of h, rounded to the nearest tenth.

6.7

7.5

6.3

6.5

Answers

Answer:

6.7.

Step-by-step explanation:

sin 48 = 5/h

h * sin 48 = 5

h = 5 / sin 48

= 6.73

Chen uses these digit cards.


5,6,9
She makes a 2-digit number and a 1-digit number.
She multiplies them together.
Her answer is a multiple of 10

What could Chens multiplication be?

_ _X_

Answers

Answer:

95 x 6

or  96 x 5

Step-by-step explanation:

Solve by logic

If you examine the three numbers, you will see that 5 is the only factor of 10.

If we multiply 5 by an even number, we get a multiple of 10.

If we multiply 5 by an odd number, we get a multiple of 5.

Therefore, the 1-digit number must be 5 or 6, and the last digit of the 2-digit number must be 6 or 5.

This means that the first digit of the 2-digit number has to be 9.

So the options are:  95 x 6  and  96 x 5

Proof

56 x 9 = 504

59 x 6 = 354

65 x 9 = 585

69 x 5 = 345

95 x 6 = 570

96 x 5 = 480

**Mulitples of 10 have a zero in the units place**

HELP! WILL GIVE BRAINLEST!

Answers

Answer:

210, 330

Step-by-step explanation:

we know that the angle 30 gives the value of 1/2

so, since we know that sin is negative in both the third and the fourth quadrant, we can find the answer.

make sure to ask if you need any further guidance. :)

A function f is odd and f(x)=x^2 for all x>0. Sketch the graph of this function and then write the rule of this function as a single formula.

Answers

We will see that we have a piecewise function:

f(x) = x^2   for x > 0.f(x) = -x^2  for x ≤ 0.

The graph can be seen at the end.

What is an odd function?

A function is odd when f(-x) = -f(x) for all the values of x in the domain of the function.

In this case, we know that:

f(x) = x^2   for x > 0.

Then, for the negative range, the sign must change (but the quadratic function is even). Then we define the function in the negative range as:

f(x) = -x^2  for x ≤ 0.

This is the odd function (a piecewise function) for the whole domain:

f(x) = x^2   for x > 0.f(x) = -x^2  for x ≤ 0.

The graph of the piecewise function can be seen below.

If you want to learn more about piecewise functions, you can read:

https://brainly.com/question/3628123

Answer:

[tex]f(x) =\frac{x^3}{|x|}[/tex]

Step-by-step explanation:

Being an odd function means that [tex]f(-x) = -f(x)[/tex].

Graphically, it means the function will be symmetric across the origin.

So, the graph will have to look like the shown graph.

This graph looks quite similar to the graph [tex]f(x) = x^3[/tex], so we can use that as our parent function.

To get the graph to equal [tex]x^2[/tex] for x>0, we must divide [tex]x^3[/tex] by x.

However, this will simply result in the function [tex]f(x) = x^2[/tex].

If we divide by the absolute value of x however, the graph will look as desired.

Answer number 5 pleaseee

Answers

Answer: $17.55

Step-by-step explanation:

    We will multiply the bill by 117% to account for the original amount and the tip being given.

117% / 100 -> 1.17

$15 * 1.17 = $17.55

     Sarah should leave $17.55 in total.

Jonny's bedroom has an area of 90 square feet. What might the length and width of his bedroom be

Answers

Answer: 30 on both.

Step-by-step explanation: 30 because 3x3 is 9 so then add a zero

Answer: Area is length multiplied by width.

90=10×9

Step-by-step explanation: The sides will be multiplied to get the area.

10 And 9 are the sides

Select the correct answer.
Simplify the expression.

Answers

Answer:

Option D :- [tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]

Step-by-step explanation:

[tex] \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }[/tex]

transform the equation

[tex] \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }[/tex]

rewrite the expression

[tex] \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }[/tex]

Simplify the radical expression

[tex] \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }[/tex]

Multiply

[tex] \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }[/tex]

Answer: Option D :-

Step-by-step explanation:

transform the equation

rewrite the expression

Simplify the radical expression

Multiply

Step-by-step explanation:

I need help with this

Answers

Answer:

Step-by-step explanation:

Ir is a rectangle because it is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

difference of two terms 4x-8 to product of two factors​

Answers

Answer:

4 × (x - 2)

Step-by-step explanation:

we want to transform 4x - 8 from a difference of two terms into a product of two factors​ :

4x - 8 is a the difference of the terms 4x and 8

4x - 8 = 4x - 4×2 = 4 × (x - 2)

4 × (x - 2)  is the product of the two terms 4 and x - 4

An aquarium holds 56. 25 gallons of water. It has a length of 2 feet and a height of 2. 5 feet. What is the volume of the aquarium?

Answers

Wouldn’t it just be 56.25 bc it holds that much bc v=l x w x h and there is no height

jack and his 3 friends each ate 3pops on Monday if they all at the same amount the rest of the week how many pops could they eat in 3 weeks??​

Answers

Answer:

216pops.

Step-by-step explanation:

If Jack and his 3 friends(4people total) ate 3 pops on Monday and ate 3pops for the rest of the week, that'd be 12 pops 1 day, and 12x6 is 72 then you have to multiple 72 by 3 and you get 216pops in 3weeks

Ursula and yi share a submarine sandwich Ursula eats 2/8 of the sandwich yi eats 3/8 of the sandwich how many of the sandwich do two friends eat

Answers

Answer:

Step-by-step explanation:

the 2 friend eat 5/8

9. Find the area of the shaded segment. Round your answer to the nearest tenth. (1 point)
120°
6 cm
0 7.9 cm
O 120 cm
O 22.1 cm
O 36.0 cm

Answers

Answer: 22.1 cm^2

Step-by-step explanation:

I just took the practice :)

What is the slope of line a?
у
6
5
3
2
to -54 -3 -2 -
2 3 4
1
-2
-3
-5
-6
o
1
4
0-4
04
0
is

Answers

Answer:

The slope equals the rise divided by the run:

Step-by-step explanation:

You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

what is the mean of 25 31 12 38 12 15

Answers

Answer:

22.1666666667 ~ 22.17 (This should be rounded)

Step-by-step explanation:

The mean formula is to add all the numbers and then divide by the quantity or how many numbers were listed.

25+31+12+38+12+15/6 = mean

All the numbers added up should equal 133


You need to divide the sum by 6 since that is how many numbers that are in your data set.

The Mean of the Data set is 22.1666666667 which is approximately 22.17

The decimal 132.64 written in expanded form is ______.

Answers

One hundred thirty two and sixty four hundredths. I think that the answer

Pls help ..
No trolls pls I need this-

Answers

1,152

The triangle area is 288
The rectangle is 864
Add em up and you get 1152 :)

Answer:

1800 square feet

Step-by-step explanation:

Area of composite figure

Figure 1:

length = 27 ft

Width = 24 ft

Area of figure1 = length * width

                        = 27 * 24

                        = 648 square feet

Area of figure II:

              length = 27 ft

              Widht = 32 ft

Area of figure II = 27 *32

                          = 864 square feet

Area of figure III:

    base = 18 ft

     height = 32 ft

[tex]\text{Area of triangle (figure III) = $\dfrac{1}{2}*base*height$}\\\\[/tex]        

                                            [tex]= \dfrac{1}{2}*18*32\\\\= 288 \ square \ feet[/tex]

Area of composit figure = 648 + 864 + 288

                                        = 1800 square feet


PLS HELP ASAP THANKS ILL GIVE BRAINLKEST


A jar has 28 cherry-flavored candies, 18 strawberry-flavored candies, and 20 orange-flavored candies. If a piece of candy is taken from the jar at random, what is the probability that it will be strawberry-flavored candy?
Group of answer choices

10/33

1/20

14/33

3/11

Answers

Answer:

3/11

Step-by-step explanation:

You add up all of the candies so 20+19+28 which is 66

18 is the number of strawberry candies so it becomes 18 over 66, 18/66

Symplify 18/66 and it becomes 3/11

how do i find the area of parts of circles?

Answers

Answer:

Explanation below

Step-by-step explanation:

The equation for the area of a circle is pir^2

To find the area of parts of a circle you would do as the following examples:

the area of half a circle is (1/2)(pir^2)

the area of a quarter of a circle is (1/4)(pir^2)

the area of a third of a circle is (1/3)(pir^2)

the area of a tenth of a circle is (1/10)(pir^2)

Does x^2=-4 have one solution

Answers

Answer:

The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i

Answer:

No solution

Step-by-step explanation:

If the answer has no solution you can't change it, just write No solution

100 points

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

Answer:

47

Step-by-step explanation:

a)

a^2 + b^2 = c^2

33^2+33^2=c^2

2178=c^2

c=(nearest is 47)

b)

If you cut the square in half diagonally, it forms two right triangles with angle measures 90-45-45. You can use sin (opposite over hypotenuse) to find the length of the hypotenuse.  sin (45) would be 33/(hypotenuse length). From a trig chart, you can find that sin (45) is 1/sqrt(2), meaning that 33/x = 1/sqrt(2). This means that x=33sqrt(2), which is around 47.

The length of the diagonal of Stacy's ceiling is 46,7.

What is the Pythagoras theorem?

Pythagoras Theorem (also called Pythagorean Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle.

The ceiling of Stacy's living room is a square that is 33 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 33 ft, but she doesn't know how long it is.

By using Pythagoras theorem;

[tex]\rm Hypotenuse ^2=33^2+33^2\\\\ Hypotenuse ^2=1089+1089\\\\ Hypotenuse ^2=2178\\\\ Hypotenuse =46.9\\\\[/tex]

By using trigonometry;

[tex]\rm Cos45=\dfrac{33}{d}\\\\d =\dfrac{33}{cos45}\\\\d=46.7[/tex]

Hence, the length of the diagonal of Stacy's ceiling is 46,7.

learn more about the Pythagoras theorem here;

https://brainly.com/question/343682

#SPJ2

James has6 7/12 cups of flour. He uses 2 5/12 cups to bake some cakes. He uses another 2 8/12 cups to bake some cookies.

How many cups of flour does James have left? Someone please help me i need this asap! <3

Answers

Answer:

I believe the answer would be 3/2 or 1 1/2

Step-by-step explanation:

This is how I did it

6 7/12 - 2 5/12 =  4 1/6

Then,

4 1/6 - 2 8/12 = 1 1/2

In decimal form, it'll be 1.5

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

I hope i helped you.

Two whole numbers have a least common multiple of 24.

Each of these numbers is less than or equal to 12.

The greatest common factor of the two numbers are 4.


What are the two numbers?

A. 6 and 12

B. 8 and 12

C. 4 and 8

D. 4 and 12

Answers

Answer:

3

Step-by-step explanation:

hopefully it helps :)

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