Find the the equation of the line passing through the points (3,3) and (4, 5)

Find The The Equation Of The Line Passing Through The Points (3,3) And (4, 5)

Answers

Answer 1

Answer:

y = 2x - 3

Step-by-step explanation:

Given:

(3, 3) and (4, 5)

Solve:

Find the slope (m) between the two points:

m = (y2 - y1)/(y2 - 1)

(x1, y1) = (3, 3)

(x2, y2) = (4, 5)

m = (5 - 3)/(4 - 3)

= 2/1

m = 2

Slope-intercept form (y = mx + a):

y = 2x + a

To find a, plug in one of the points into the equation:

3 = 2(3) + a

3 = 6 + a

3 - 6 = a

a = -3

y = 2x - 3


Related Questions

7) Select the best method to solve the system.

3x+y=7
2x=3y-4

*elimination
*substitution

Answers

I’m my opinion the best method is elimination

Answer:

substitution

Step-by-step explanation:

I would choose substitution because the first equation can easily be set in terms of y, then substituted into the second equation, while to eliminate you would have to multiply on of the equations by a number and make it negative in order to eliminate.

4. (03.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 5 inches. The height of the cone is 15 inches.
Use n = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them

Answers

Step-by-step explanation:

Volume of a cylinder is:

V = πr²h

V = (3.14) (4 in)² (5 in)

V = 251.2 in³

Volume of a cone is:

V = ⅓ πr²h

V = ⅓ (3.14) (4 in)² (15 in)

V = 251.2 in³

The volumes are equal.

factorise 12d²-19d+5

Answers

Answer:

4d99982726629161619172928227

Step-by-step explanation:

di ko alam Ang sagot

Write the Linear equation in Standard form.. Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php, write an equation in standard form modeling this situation. Let x represent the number of pairs of socks you buy, and y represent the number of pairs of gloves you buy.

Answers

Answer:

An equation in standard form modeling this situation is:

75x + 50x = 425

Step-by-step explanation:

Let

x represent the number of pairs of socks you buy

y represent the number of pairs of gloves you buy

Each pair of Socks in store cost 75php, and each pair of gloves costs 50php. If you want to spend exactly 425php.

The equation is given as:

75php × x + 50php × y = 425php

= 75x + 50y = 425

Therefore,

the equation in standard form modeling this situation is:

75x + 50x = 425

Which ordered pairs do not belong to a linear function in the form below?
y = kx + b
A. (-1, -1); (0, -1)
B. (-1, -1); (-1, 1)
C. (1, 1); (0, -1)
D. (1, 1); (-1, -1)

Answers

Answer:

its D

Step-by-step explanation:

D!!!

Answer:

D

Step-by-step explanation:

-4/2/5 = -3/1/5 + 7/10g

Answers

Answer:

g=12/7

Step-by-step explanation:

4)
- 10x – 5x = 45
Solve the equation

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-10x-5x=45}[/tex]

[tex]\textsf{Combine your like terms: \mathsf{(-10x -5x)}}[/tex]

[tex]\mathsf{(-10x - 5x) = -15x}[/tex]

[tex]\mathsf{New\ equation: -15x=45}[/tex]

[tex]\mathsf{\bf{DIVIDE}\ \mathsf{\ both\ sides\ by\ -15}}[/tex]

[tex]\mathsf{\dfrac{-15x}{-15}=\dfrac{45}{15}}[/tex]

[tex]\mathsf{\bf{Cancel\ out:}}\mathsf{\ \dfrac{-15}{-15}\ because\ that\ gives\ you\ }[/tex]

[tex]\mathsf{\bf{Keep:}\mathsf{\dfrac{45}{-15}\ because\ that\ solves\ for\ x}}[/tex]

[tex]\mathsf{New\ equation: x = \dfrac{45}{-15}}\\\\\mathsf{x = 45\div-15\rightarrow \underline{\bf{-3}}}[/tex]

[tex]\huge\text{Thus, x = -3}\checkmark[/tex]

[tex]\boxed{\boxed{\mathsf{Thus,\ your\ answer\ is: \boxed{\boxed{\text{\huge{\bf{x = -3}}}}}}}}\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Please help me solve this?

Answers

Answer:

12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

Step-by-step explanation:

2√108[tex]x^{9}[/tex]y²[tex]z^{14}[/tex]

so you will need two of something to take one out from under the squareroot

we can rewrite [tex]z^{14} = z^{7} *z^{7}[/tex] so we can take a [tex]z^{7}[/tex] out

we can rewrite y² as y*y so we can take a y out

we can rewrite [tex]x^{9}[/tex] as [tex]x^{4} *x^{4} *x[/tex] so we can take a [tex]x^{4}[/tex]out

for 108 think what is the smallest prime number that divides 108 and is 2

108= 2*54

same algorithm, smallest prime number that divides 54 is 2 so

108=2*2*27

same algorithm, smallest prime number that divides 27 is 3 so

108=2*2*3*9

we know 9 is 3*3 so

108=2*2*3*3*3 we can take out one 2 and one 3

put them all toghether now

2*2*3*[tex]x^{4}[/tex]*y*[tex]z^{7}[/tex]√3x = 12[tex]x^{4}[/tex]y[tex]z^{7}[/tex]√3x

can yall help me lol I have to finish this​

Answers

Answer:

21/10 mph

Step-by-step explanation:

When you divide a fraction with another fraction, the number after the division sign gets flipped (meaning that the numerator and denominator switch so 1/2 would be 2/1)

So using that we can solve this:

7/5 / 2/3

7/5 * 3/2

21/10 miles per hour

the answer 21/10 per hour

A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 4; f(n) = 4 ⋅ d(n − 1), n > 0
f(1) = 4; f(n) = 4 ⋅ d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n + 1), n > 0
f(1) = 4; f(n) = 4 + d(n − 1), n > 0

Answers

Answer:

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Step-by-step explanation:

This arithmetic sequence has a common difference of d with first term = 4.

f(1) = 4; f(n) = 4 + d(n - 1), n > 0.

Answer:

D)

Step-by-step explanation:

I took the test.


Find the inverse of the function. *

Answers

Answer:

C.

Step-by-step explanation:

1.) switch x and y

x=(7y+18)/2

2.) multiply both sides by 2

2x=7y+18

3.) subtract 18 from both sides

2x-18=7y

4.) divide both sides by 7

(2x-18)/7=y

HELP PLEASE I NEED THIS QUESTION

Answers

9514 1404 393

Answer:

  B.  75.8 ft²

Step-by-step explanation:

The height of each triangle can be found using the Pythagorean theorem. The given edge length (7 ft) is the hypotenuse of the triangle, and the base edge length is twice one leg of the triangle.

The height of the triangle on the 2 ft faces is ...

  √(7² -1²) = √48 = 4√3

The height of the triangle on the 8 ft faces is ...

  √(7² -4²) = √33

The areas of the triangular faces are the product of the height and half the base length:

  A = 1/2bh

  2 ft edge triangle area = (1/2)(2 ft)(4√3 ft) = 4√3 ft²

  8 ft edge triangle area = (1/2)(8 ft)(√33 ft) = 4√33 ft²

__

The area of the rectangular base is ...

  A = LW

  A = (8 ft)(2 ft) = 16 ft²

__

The total surface area of the pyramid is the sum of the areas of the triangular faces and the area of the rectangular base.

  2(4√3 +4√33) +16 = 8(2+√3+√33) ≈ 75.813

The total surface area is about 75.8 ft².

Evaluate and simplify the following complex fraction.

Answers

Answer:

-10/7

Step-by-step explanation:

(-5/7)/(2/4) = (-5/7)/(1/2) = (-5/7)*(2/1) = -10/7

In Triangle ABC, ∠A + ∠B = 65° and ∠B + ∠C = 140°.Find the value of ∠B and ∠C.
Can anybody pls give the answer fast...

Answers

A + B = 65...Equation 1

B + C = 140...Equation 2

Solve Equation B for C.

C = 140 - B

The sum of the angles in a triangle is 180 degrees.

We know that A + B = 65.

65 + C = 180

We know that C = 140 - B.

65 + 140 - B = 180

205 - B = 180

-B = 180 - 205

-B = -25

B = -25/-1

B = 25

Plug B = 25 into B + C = 140 to find angle C.

25 + C = 140

C = 140 - 25

C = 115

Angle B = 25°.

Angle C = 115°.

Understand?

find the slope from the graph (help please)

Answers

For the slope I got 0

Write an equation in slope-intercept form of the line that passes through the points ( 0, 1 ), ( 4, 2 )

Answers

Slope-Intercept Form - Y = Mx + b

Y = 1/4x + 1

what is this plug's brand?

Answers

Answer:

ce smart home

Step-by-step explanation:

it says it righ tthere

Answer:

the brand?? it says it right there if I'm not wrong lol "ce smart home"

The scale drawing of a rectangular city park measures 10.0 cm(width) by 5.0 cm(length). The scale of the drawing is 1.0 cm = 4.5 meters. What is the actual length of the park?

Answers

Answer:

given us,

width= 10.0

length= 5.0

here,

w×d= 10.0× 5.0

= 50

now

cm/ m

=1.0/ 4.5

= 2.22

w×d x cm.m× 100

50/ 2.22× 100

2252.25

Step-by-step explanation:

we have to solve and multiply

What property would you use to solve m+6=−4?

Answers

Answer:

m = -10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Properties

Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define equation

m + 6 = -4

Step 2: Solve for m

Subtract 6 on both sides:                    m = -10

Step 3: Check

Plug in m to verify it's a solution.

Substitute:                    -10 + 6 = -4Add:                              -4 = -4

ASAP 20 points -0.45x + 0.33 = -0.66 whats x

Answers

Hola no sé qué dices solo me puse del país Canadá para que me ayuden con un ejercicio en inglés que papá Noel los bendiga

Answer:

x=2.2

Step-by-step explanation:

calc

Jordana drew the function below. Which statement correctly explains whether or not her function is linear?

On a coordinate plane, a parabola opens up.

A. It is linear because it has a constant rate of change.
B. It is linear because it does not have a constant rate of change.
C. It is not linear because it has a constant rate of change.
D. It is not linear because it does not have a constant rate of change.

Answers

D.it is not linear because it does not have a constant rate of change

Answer:

d

Step-by-step explanation:

i took the test

How much is 10% of $30

Answers

3 because you multiply 0.10 times 30

50 - 4 > 12 OR 12x +5< -4

Answers

Answer:

Step-by-step explanation:

5x - 4 > 12

5x > 12 + 4

5x > 16

x > 16/5

12x + 5 < -4

12x < - 4 - 5

12x < - 9

x < - 9/12

x < - 3/4

Option A is the correct answer

Select all conditions for which it is possible to construct a triangle. A. Angle measures of 45 degrees, 45 degrees, and 90 degrees B. Triangle with side lengths of 4 cm, 5 cm and a 50 degree angle C. Angle measures of 120 degrees, 20 degrees, and 35 degrees D. Triangle with angle measures of 30 degrees, 60 degrees, and a side length of 3 cm

Answers

Answer:

It actually might be D or C

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i just did a test over that and it said D

...

pls help lol uh

thanks if you do im very confused

Answers

Answer:

I think it is b

Step-by-step explanation:

Answer:

B

graph B represents 1/2#1/6

1/2#1/6=3

Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?

Answers

Step-by-step explanation:

The more regular way of presenting such a graph is y = -2/3 x + 20

(Put the x on the right and made sure that the y has a coefficient of 1.)

Coefficient means the number in front of the letter (in this case).

x intercept = 30

(30,0)

y intercept = 20

(0,20)

The intercepts mean

The y intercept means the whole garden contains nothing but lettuce. (20)

The x intercept means the whole garden contains nothing but tomatoes.(30)

The volume of a cylinder = ar2h. Use 3.14 for A. What is the volume of this cylinder? You may use the calculator tool in the menu.​

Answers

Answer:

{Height and radius not given}

The points in the table lie on a line. Find the slope of the line.
X
-3
2
7
12
у
0
2
1
6
The slope of the line is
N

Answers

Answer:

n

Step-by-step explanation:

Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​

Answers

Answer:

[tex]y=\frac{5}{3}x+4\frac{2}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) = [tex]\frac{5}{3}[/tex]

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

[tex]3=\frac{5}{3}(-1)+b[/tex]

[tex]3=-\frac{5}{3}+b[/tex]

[tex]4\frac{2}{3}=b[/tex]

Now that we know the values of b and m, we can write the equation:

[tex]y = \frac{5}{3}x+4\frac{2}{3}[/tex]

A small ice cream cone costs $2.00, a medium costs $2.75, and a large costs $3.25. Special toppings cost
extra. Melanie's medium cone with 2 toppings cost $3.35. What is the unit rate of cost per number of toppings
for a medium cone?

Answers

Answer:

0.30 per topping

Explanation:

3.35 - 2.75= 0.60

0.60 / 2 = 0.30

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