What is the gradient of the line that passes through the points (0,0) and (3,3)?

Answers

Answer 1

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]


Related Questions

Write an equation of the perpendicular bisector of the segment with endpoints M(10,-7) and N(-4,1).​

Answers

(Step#1): Find the Perpendicular bisector of a line segment with endpoints

(Step#2): Find a Point on the perpendicular bisector
(Which is the midpoint of a given line segment)
Using the midpoint Formula which is:
(X3, Y3) = (X1 +X22, Y1 + Y22)

I Hope this helps you!!!

3. Find the value of x in the diagram below
X
6 cm
5
4 cm
3 cm
R​

Answers

Answer:

4cm is the correct answer

Solve the problem. Round to the nearest cent.

Brad wants to have available to buy a car in 5 years. How much must he deposit now at compounded monthly to reach that goal?
Group of answer choices

$22,366.96

$12,395.17

$22,905.95

$12,920.84

Answers

Answer:

$10,857.8

Step-by-step explanation:

Brad wants to have $17000 available to buy a car in 5 years. How much should he deposit now at 9% compounded monthly to reach that goal?

A = p(1 + r/n)^nt

P = A / (1 + r/n)^nt

P = 17000 / (1 + 0.09/12)^(12*5)

= 17,0000 / (1 + 0.0075)^60

= 17,000 / (1.0075)^60

= 17,000 / 1.5657

= 10,857.8

P = $10,857.8

what shape would be made if you cut a rectangular pyramid diagonally?

Answers

Answer:

You would get a trapezoid shape.

Step-by-step explanation:

a new computer costs 950$ but it depreciates in value by about 14% each year.At this rate,how much will it be worth in 6 years?​

Answers

Step-by-step explanation:

950x14= 13 300

13300/100

133$ per year

133x6years= 798$

so 950-798= 152

152$ will be the price of the pc at this rate you said

7. In the box plot below, which quarter of the data has the greatest spread of numbers?

A. 1st
B.2nd
C.3rd
D.4th​

Answers

Either 3rd or 4th. Probably 4th but im sorry not sure

Answer:

Step-by-step explanation: number 1

If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?


PLZ HELP

Answers

4+5x3^2-3*tfnsnciscjsn

Answer:

b. 3/2

Step-by-step explanation:

   

 Jackie so $9500 worth of vacuum cleaners in December if she earns a commission rate of 15% of all sales what commission Did she earn

Answers

Answer:

1425

Step-by-step explanation:

I'm pretty sure 1425 is 15% of 9500.

HELP PLEASE 10 POINTS

Answers

Answer:

A

Step-by-step explanation:

please helpppppp i will mark you braliest

Answers

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

Answer is 0.3

have a great day!

HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)

Answers

Answer:

should be A sorry if I'm wrong

What is the value of x? Enter your answer in the box.

Answers

Answer:

Lilly, since the angles are the same we can set the equal to each other, that's the "trick" of this problem

Step-by-step explanation:

3x + 50 = 6x - 10

3x + 60 = 6x

60 = 3x

20 = x

see how I got that?

A number is 11 less than 3 times another number. The sum of the numbers
is 25. What are the two numbers?
Can you please send the work too

Answers

Step-by-step explanation:

this is simple use it and enjoy

Step-by-step explanation:

Let x be the first number

Let y be the 2nd number

given,

[tex]x = 3y - 11 \\ x - 3y = - 11[/tex]

as equation 1

and

[tex]x + y = 25[/tex]

as equation 2.

Now we will use elimination method to solve for simultaneous equations.

We will use equation 1 - equation 2 to eliminate x to solve for y.

[tex]x - x - 3y - y = - 11 - 25 \\ - 4y = - 36 \\ y = - 36 \div - 4 \\ = 9[/tex]

Substitute y into equation 2.

[tex]x + 9 = 25 \\ x = 25 - 9 \\ = 16[/tex]

The numbers are 9 and 16.

1,find the equation of the line with y-intercept (0,8) and slope ⅗. 2,Find the slope and y-intercept of y=10x-⅓. 3,Find the slopes of the lines containing these points. a) (4,-3) and (6,-4) b)

Answers

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

y -(-3) = -1/2x + 2

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

help me plz..

the pair of line represented by equation 9x²+12xy+(k+1)y²=0 coincide, find the value of k​

Answers

Answer:

k=3 is your answer

Step-by-step explanation:

given equation :

9x²+12xy+(k+1)y²=0

comparing above equation with

ax²+2hxy+by²

we get

a=9

h=12/2=6

b=k+1

since lines are coincident

ø=0

Tan0=±[2√(h²-ab)]/(a+b)

we get

h²=ab

6²=9(k+1)

36/9=k+1

4=k+1

k=4-1=3

The value of k will be;

⇒ k = 3

What is Equation of line?

The equation of line passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The pair of equation is,

⇒ 9x² + 12xy + (k + 1)y² = 0

Now,

We know that;

The condition of coincide of pair of line ax² + 2hxy + by² = 0 is,

⇒ h² = ab

So, For the equation of the pair of line 9x² + 12xy + (k + 1)y² = 0, we have;

⇒ 2h = 12

⇒ h = 6

⇒ a = 9

⇒ b = (k + 1)

Substitute all the values in given condition for coincide , we get;

⇒ h² = ab

⇒ 6² = 9 (k + 1)

⇒ 36/9 = k + 1

⇒ 4 = k + 1

⇒ k = 4 - 1

⇒ k = 3

Thus, The value of k = 3

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer: Answer is B

Step-by-step explanation:

A stone is thrown horizantally with a velocity of 50 m/s from the top of a building. Find its velocity after 2 seconds.

Answers

Answer:

V = 53.7 m/s ∠-21.41°

Step-by-step explanation:

Since the stone's initial vertical velocity, u is 0m/s(since it is thrown horizontally), we find the stone's final vertical velocity, v from v = u - gt  where u and v have the meanings as given above, g = acceleration due to gravity = 9.8 m/s² and t = time = 2 s

So, v = u - gt

v = 0 m/s - 9.8 m/s² × 2 s

v = 0 m/s - 19.6 m/s

v =  - 19.6 m/s

Since the stone's horizontal velocity is u' = 50 m/s, we find the resultant magnitude of velocity V from V = √(u'² + v²)

So, V = √((50 m/s)² + (-19.6 m/s)²)

V = √(2500 m²/s² + 384.16 m²/s²)

V = √(2884.16 m²/s²)

V = 53.7 m/s

Its direction Ф = tan⁻¹(v/u')

Ф = tan⁻¹(-19.6 m/s/50 m/s)

Ф = tan⁻¹(-0.392)

Ф = -21.41°

So it velocity V = 53.7 m/s ∠ -21.41°

ILL GIVE BRAINLEIST!!
Find the sum of the given arithmetic series:
104 + 101 + 98+...+14
A. O 1820
B. O 1786
C. 1829
D. O 1926

Answers

Answer: 317

Step-by-step explanation:

The correct answer is letter B

Justin has $0.90 worth of nickels and dimes. He has a total of 15 nickels and dimes altogether. Determine the number of nickels, x,x, and the number of dimes, y,y, that Justin has.

Answers

that is a virus link do not click, it might be $35y x 3

so if you say hi to someone and they dont say it back what do you do

Answers

You can either walk by and just go with it, say dang okay, or you could walk past them like you were saying it to someone else. Good luck to you if you end up in the situation.

Answer:

Give them a dirty look, then say it louder but if u dont want to say it again then just leave them alone. If not BEAT THEM UP

Step-by-step explanation:

14cm
12 cm
22cm. Find the area.

Answers

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

Find the value of x that makes the equation true
3/5x + 10 = 4/5x - 6

Answers

Answer:

80

Step-by-step explanation:

multiply both sides by 5

3x +50 = 4x -30

combine like terms

-x = -80

x = 80

What is the GCF of 36 and 68?

Answers

Answer:

4

Step-by-step explanation:

Answer:

The greatest common factor of 36 and 68 is 4

Step-by-step explanation:

36÷4=9

68÷4=17

help help help help help i suck at math

Answers

Answer: D

Step-by-step explanation:

if your reading this please help meeee

Answers

Answer:

both angles are 92 degrees

Step-by-step explanation:

88+c=180

c=92

c and b are vertical angles and all vertical angles are equal

A classroom has 20 seats arranged in 5 rows of 4 seats each. Each student is randomly assigned a seat.

What is the probability that the first student is placed in the first row?

Answers

The probability that the student is placed in the first row is 1 of 5

1 / 5

I like orange juice.

what is the area of a circle with a radius of 10​

Answers

Answer:  A≈314.16

Step-by-step explanation: A=πr2=π·102≈314.15927

314.16 bc that’s the answer blah blah blah

......................
4 x4 x4 x5 x5

Answers

The Answer is 1600
Hope this helps :)

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4\times4\times 4\times5\times5}[/tex]

[tex]\mathsf{4\times4 = \bf 16}[/tex]

[tex]\mathsf{\bold{16} \times 4\times 5\times 5}[/tex]

[tex]\mathsf{16\times4 = \bf 64}[/tex]

[tex]\mathsf{\bold{64}\times5\times5 }[/tex]

[tex]\mathsf{64\times5 = \bf 320}[/tex]

[tex]\mathsf{\bold{320}\times5}[/tex]

[tex]\mathsf{= \bf 1,600}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \underline{\huge \bf 1,600}}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

is the expression b+2(b+2b) equivalent to 4b

Answers

Answer:

no because the parenthesizes means your multiplying

Step-by-step explanation:

Help again please Don’t get it at all

Answers

Answer:

hi

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

the other angles are 90 and 48

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