find the equation of the line of gradient 3 which passes through the point (0, 2).​

Answers

Answer 1

Answer:

The answer is y = 3x + 2

Step-by-step explanation:

To find the equation of the line given a point and the gradient, the formula to use is

y - y1 = m(x - x1)

where

m is the gradient and

( x1 , y1) is the point

From the question

The point is (0 , 2)

The gradient is 3

Substitute the values into the above formula

That's

y - 2 = 3( x - 0)

y - 2 = 3x

The final answer is

y = 3x + 2

Hope this helps you


Related Questions

If a coin is flipped five times and a head comes up two times, what is the relative frequency of head coming up? A) 0.40 B) 0.20 C) 0.60 D) 0.80

Answers

Answer:

A) 0.40

Step-by-step explanation:

5 goes into 100, 20 times. Each coin flip is equal to 0.20, so 2 heads would be 0.40.

Relative frequency of heads coming up is 0.40

Given,

Flipping of coin 5 times .

Here,

The probability of head and tail coming in a single flip of coin is equal .

P(H) = P(T) = 1/2

Thus there are equal number of chances for head and tail .

Here,

Two heads are coming in the flip of five times .

So,

Two heads will be coming up as

0.20 * 2

= 0.40

Know more about probability,

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URGENT PLEASE ANSWER !!

Answers

Answer:

(C) [tex]y = 2x+5[/tex]

Step-by-step explanation:

Looking at this graph, we can see that the slope of it is 2. We know this because for every time x increases by 1, y increases by 2.

We also know that the y-intercept of this graph is 5, since it intercepts the y-axis at the value 5.

We can easily create an equation with this info.

[tex]y = 2x + 5[/tex].

Hope this helped!

Answer:

C. y= 2x+5

Step-by-step explanation:

y=mx+b

(+b) is y- intercept

(mx) is the slope.

plot the y- intercept first which the line starts at (0,5)

since the slope isn't a fraction you turn it into one which would be

[tex] \frac{2}{1} [/tex]

soo.....here i go again ask for help!!

Answers

Answer:

1. The Additive Inverse Property

2. Zero Product Property

Step-by-step explanation:

In the first step, we can see that we ad 4 and -4 to get to 0.

4 and -4 are opposites, and because of the Additive Inverse Property, they equal 0.

In the second step, we can see that we multiply y by 0. According to the Zero Product Property, anything multiplied by zero will equal 0.

Hope this helped!

Diagonals of a parallelogram _____ each other.

Answers

Answer:

They will bisect eachother

Step-by-step explanation:

meaning they will cross in the middle

a number with 2 consecutive natural digits, how many units will it increase if written in reverse order. Detail solution pls

Answers

Answer:

It will increase by 9 units.

Step-by-step explanation:

We can write the lowest number as  10a + (a + 1) and the highest is the reverse which is 10(a + 1) + a.

Subtracting:

10(a + 1) + a - (10a + a +1)

= 10a + 10 + a - 10a - a - 1

= 10a - 10a + a - a + 10 - 1

= 10 - 1

= 9.

PLEASE HELP!!! Jim made a table to show the length of his walking sticks.
Which walking sticks measured less than 3/5 meters? Choose 2 answers

Answers

Answer:

Stick 2: [tex] \frac{1}{2} [/tex]

Stick 3: [tex] \frac{4}{10} [/tex]

Step-by-step explanation:

To determine which of the lengths are less than ⅗ meters, you would compare each given length with ⅗ meters.

Stick 1: Comparing ⁹/10 and ⅗

Find The common denominator of both fractions. 10 is the common denominator. Multiply the numerator and denominator of ⅗ by 2 to create a fraction equivalent to ⁹/10.

Thus,

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

Compare the numerator of [tex] \frac{9}{10} [/tex] and [tex] \frac{6}{10} [/tex].

9 is greater than 6. This means [tex] \frac{9}{10} [/tex] > [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{9}{10} [/tex] > [tex] \frac{3}{5} [/tex]

Stick 2: comparing ½ and ⅗

Common denominator = 10

Make both fractions equivalent to each other as follows,

[tex] \frac{1*5}{2*5} = \frac{5}{10} [/tex]

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

5 < 6. This means, [tex] \frac{5}{10} [/tex] < [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{1}{2} [/tex] < [tex] \frac{3}{5} [/tex]

Stick 3: comparing ⁴/10 and ⅗

Common denominator = 10

Make the fractions equivalent as follows,

[tex] \frac{4*1}{10*1} = \frac{4}{10} [/tex]

[tex] \frac{3*2}{5*2} = \frac{6}{10} [/tex]

4 < 6. This means, [tex] \frac{4}{10} [/tex] < [tex] \frac{6}{10} [/tex].

Therefore, [tex] \frac{4}{10} [/tex] < [tex] \frac{3}{5} [/tex]

Stick 4: comparing ⅘ and ⅗

Common denominator = 5

Since both denominators are already the same, both fractions are equivalent. Comparing their numerator, 4 > 3. Therefore, ⅘ > ⅗.

Find the equation of a circle with PQ as diameter, where P(2,-6) and Q(-6,-4)​

Answers

Answer:

y=-¼x+⁴⁴/8

Step-by-step explanation:

p(2,-6). Q(-6-4)

p (x¹,y¹). Q(x²,y²)

1) find the gradient(slope)

gradient=y²-y¹

x²-x¹

gradient = -4-(-6)

-6-2

gradient= -4+6

-6-2

gradient=²/-8

2)equation is supposed to be in the form of y=mx+c

where m is the gradient

thus.

gradient=y²-y¹

x²-x¹

when finding the equation we only use one of the values of the coordinates leaving the other as an unknown value.

2 = y-(-4)

-8 x-(-6)

2 =y+4

-8. x+6

remove the denominators by cross multiplying that is:

2(x+6)= -8(y+4)

2x+12= -8y-32

express in the format y=mx+c

2x+12+32=-8y

2x+44=-8y.

divide all sides by -8 to remain with y

²/-8x+⁴⁴/-8=y

-¼x+ -⁴⁴/8=y

y=-¼x-⁴⁴/8

Which of the following equations have exactly one solution? Choose all answers that apply: Choose all answers that apply: (Choice A) A 2x-31=2x-31 (Choice B) B 2x-31=-2x-31 (Choice C) C 2x+31=2x-31 (Choice D) D 2x-2=2x-31

Answers

Answer:

B 2x - 31 = -2x - 31 have exactly one solution

Step-by-step explanation:

Which of the following equations have exactly one solution?

Choose all answers that apply:

A 2x - 31 = 2x - 31

B 2x - 31 = -2x - 31

C 2x + 31 = 2x - 31

D 2x - 2 = 2x - 31

A. 2x - 31 = 2x - 31

2x-31=2x-31

Collect like terms

2x-2x= -31+31

0=0

Infinite number of solutions

B 2x - 31 = -2x - 31

2x - 31 = -2x - 31

Collect like terms

2x+2x=-31+31

4x=0

x=0

One solution

C 2x + 31 = 2x - 31

2x + 31 = 2x - 31

Collect like terms

2x-2x= -31-31

0= -62

No solution

D 2x - 2 = 2x - 31

2x - 2 = 2x - 31

Collect like terms

2x-2x= -31+2

0= -29

No solution

Which line is parallel to line r? line p line q line s line t

Answers

Answer:

Line S

Step-by-step explanation:

Answer:

line s

Step-by-step explanation:

coz if you extend both the line (line r and line s )

they will not intersect at any point...

plz let me know if it was helpful to you dude!

Use the diagram to answer the question.
Which of the following statements is true?
lines and line t Intersect
O lines and line t Intersect at Point P
Point Pis on linet and on lines
all of the above are true

Answers

Answer:

O lines and line t Intersect at Point P

Please answer this question now

Answers

Answer:

1001.66 in²

Step-by-step explanation:

radius=r=diameter/2

r=22/2=11

l is the slant =18

surface area of a cone= area of circle + area of the curved part of cone

SA=πr²+πrl

SA=3.14(11)²+3.14(11)(18)=1001.66 in²

PLS ANSWER I WILL GIVE BRAINLIST AND A THANK YOU!!! :)

Answers

Answer:

(5,3) and (5,9)

Step-by-step explanation:

I NEED HELP PLEASE FIRST ONE TO ANSWER THIS RIGHT GETS 5 STARS !

Answers

Answer:

The answer is 2

Step-by-step explanation:

[tex] {32}^{ \frac{1}{5} } [/tex]

To solve the question first write 32 in exponential form

That's

[tex]32 = {2}^{5} [/tex]

Multiply the exponent by 1/5

That's

[tex] {2}^{5 \times \frac{1}{5} } [/tex]

We have the final answer as

2

Hope this helps you

Answer:

2

Step-by-step explanation:

32 ^ (1/5)

Rewriting 32 as 2^5

2^5 ^ 1/5

We know that a^b^c = a^ ( b*c)

2^ ( 5*1/5)

2^1

2

What is the decimal equivalent of 16/3 ?
A. 5.3
B. 0.1875
C. 53333...
D. 16.3

Answers

Answer:

c. 5.333...

Step-by-step explanation:

When converting fractions into decimals, all you have to do is that you have to divide the numerator by the denominator. In this case, we will get 16 divided by 3. If we do this, we will get 5 and 1/3. One third in decimals is 0.3333... so the answer is 5.333...

The decimal 5.33 will be equivalent to 16/3 so option (A) will be correct.

What is the arithmetic operator?

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the fraction of 16/3

So divide 16 by 3

16/3 = (15 + 1 )3

⇒ 15/3 + 1/3

⇒ 5 + 0.333

⇒5.3

Hence "The decimal 5.33 will be equivalent to 16/3".

To learn more about the arithmetic operators,

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Jaden’s teacher had 4 boxes of pens that each contained y pens. She took 6 pens out of one of the boxes and told her 17 students to divide the remaining pens equally among themselves. Which expression shows the number of pens each student got?

Answers

Answer:

x = (4y-6)/17

where x is the  number of pens each student got.

Step-by-step explanation:

No. of boxes = 4

no. of pen in 1 box = y

total no, of pens in 4 box =  No. of boxes *no. of pen in 1 box = 4y

No. of pen took away by Jaden's teacher = 6

no. of pens left = 4y - 6

This, 4y - 6 pen has to be divided among 17 students.

Let  each student get x pen

thus, total no. of pen got by 17 student  = 17x

This, 17x should be equal to total no. of pens available which is 4y-6

17x = 4y-6

=> x = (4y-6)/17

Thus, expression to represent  number of pens each student got

is x = (4y-6)/17

Answer:

4y-6/17

Step-by-step explanation:

Jaden’s teacher had 4 boxes of pens that each contained y pens.

Number of boxes of pen = 4

Number of pens per box = y

Total number of pens = 4 x y = 4y

She took 6 pens out of one of the boxes told her 17 students to divide the remaining pens equally among themselves.

Total number of pens left = 4y - 6

Number of students = 17

Please help...Will give brainiest

Answers

Answer:

19.45

Step-by-step explanation:

The median is the middle number.  Put the data in order from smallest to largest

16.3, 17.8,17.8  ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4

There are 12 pieces of data,

16.3, 17.8,17.8  ,18.0, 18.7,19.3,         19.6,20.1,20.5, 21.9, 25.2 ,25.4

The median lies between the 6th and 7th piece

Add the 6th and 7th together and divide by 2

(19.3+19.6)/2 =19.45

Answer:

[tex]\large \boxed{\mathrm{19.45}}[/tex]

Step-by-step explanation:

Median of a data set is the middle value.

The data is to be arranged from smallest to largest.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Find the middle value.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Average the two middle numbers.

(19.3+19.6)/2 = 19.45

The median of the data set is 19.45.

I will give brainliest to the right answer!! Find the vertex and the length of the latus rectum. x= 1/2 (y - 5)² + 7

Answers

Answer:

(7, 5)2

Step-by-step explanation:

When the quadratic is written in vertex form:

  x = a(y -k)^2 +h

the vertex is (x, y) = (h, k), and the length of the latus rectum is 1/a.

For your given equation, ...

  x = (1/2)(y -5)^2 +7

you have a=1/2, k = 5, h = 7, so ...

  the vertex is (7, 5)

  the length of the latus rectum is 1/(1/2) = 2

Select the correct answer.
Solve the system of equations.
y = x + 3
y = x^2 - 2x - 1

A. (1,4) and (-4,1)
B. (-1,4) and (4,1)
C. (-1,7 and (4,2)
D. (-1,2) and (4,7)

Answers

Answer:

( 4,7)    ( -1,2)

Step-by-step explanation:

y = x + 3

y = x^2 - 2x - 1

Set the equations equal to each other

x + 3  = x^2 - 2x - 1

Subtract x from each side

3 = x^2 -3x -1

Subtract 3 from each side

0 = x^2 -3x -4

Factor

0 = ( x-4) ( x+1)

Using the zero product property

x-4 =0   x+1 =0

x = 4     x=-1

Find y for each x

x=4    y =x+3  y = 4+2  y=7

x = -1  y = x+3   y = -1+3 y = 2

( 4,7)    ( -1,2)

Answer:

D.  (-1, 2) and (4, 7).

Step-by-step explanation:

Eliminating y:

x^2 - 2x - 1 = x + 3

x^2 - 3x - 4 = 0

(x - 4)(x + 1) = 0

x = -1, 4.

When x = -1, y = -1 + 3 = 2.

When x = 4, y =  4 + 3 = 7.

So the answer is (-1, 2) and (4, 7).

help please, got a little lost in everything

Answers

Answer:

375 mm cubed

Step-by-step explanation:

The volume would stay the same because the same number of the same pennies are being used.

If the question was asking for the surface area, then the answer would be different.

Hope that helped!!! k

Answer: 375 mm cubed

2. At a local restaurant, 55% of people order an appetizer to start while 25%
order a salad to start. Also, 18% choose both an appetizer and a salad to start.
What percentage of people order a salad or an appetizer to start?

Answers

Answer:

Probability of people order a salad or an appetizer P(A∪B) = 62%

Step-by-step explanation:

Given:

Probability of appetizer P(A) = 55%

Probability of salad P(B) = 25%

Probability of choose both P(A∩B) = 18%

Find:

Probability of people order a salad or an appetizer P(A∪B)

Computation:

P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 55% + 25% - 18%

P(A∪B) = 62%

Probability of people order a salad or an appetizer P(A∪B) = 62%

Simplify {[(0.2)^3] x 8} / (0.4)^2
40
0.4
0.2
0.04

Answers

.4 is the answer yeeeeet

Answer:

0.4

Step-by-step explanation:

Given

[tex]\frac{0.2^3(8)}{0.4^2}[/tex]

= [tex]\frac{0.008(8)}{0.16}[/tex]

= [tex]\frac{0.064}{0.16}[/tex]

= 0.4

PLS HURRY!!! Charlie made a table to show how much time he spent on activities last week . Activity Time spent (hours ) Swimming Reading Cooking Soccer On which activities did Charlie spend more than hour? PLS HURRY

Answers

Answer:

None

Step-by-step explanation:

All of the fractions listed are not a whole or more than a whole. They are all parts of a whole, therefore she did not spend more than an hour on any of them

Answer:

cooking and swimming

Step-by-step explanation:

help...me...plz..!!.....?

Answers

Answer:

[tex]\huge\boxed{-1}[/tex]

Step-by-step explanation:

[tex]\frac{-5^2}{(-5)^2}[/tex]

=> [tex]\frac{-25}{25}[/tex]

=> -1

Answer:

-1

Step-by-step explanation:

-5^2 is -25 because you have to do exponents first, so 5^2 is 25. Add a negative symbol there, it becomes -25.

For the denominator, we do the exact same process, except a little different. Since there are parentheses around the negative five, we have to apply the negative symbol on the 5 before we do the exponents. After, we do -5^2 which is 25 because when you are multiplying negative, you always get a positive.

When we are all done with that, we put the numerator over the denominator to get -25/25, which is equivalent to -1.

An object has a mass of 50.0 g and a volume of 10.5 cm cubed. What is the object's density? A. 60.5 g/cm cubed B. 0.21 g/cm cubed C. 4.76 g/cm cubed D. 525 g/cm cubed

Answers

Answer:

4.76 g/cm³

Step-by-step explanation:

Density formula = mass / volume

1. Set up the equation and solve

50.0 / 10.5 = 4.76

what is the diameter of a circle with 28.26 as the area

Answers

Answer:

6

Step-by-step explanation:

are=A=πr2

28.26/3.14=9

√9=3

3•2=6

Answer:

6

Step-by-step explanation:

Area = πr^2

r = √(area/π)

r = √(28.26/3.14)

r = 3

and we know that,

d = 2r,

d = 2 x 3 = 6

The town of Madison has a population of 25000. The population is increasing by a factor of 1.12 each year. Write a function that gives the population P(t) in Madison t years from now. Do not use commas in your answer. P(t)=

Answers

Answer:

P(t)=25000(1.12)^t

Step-by-step explanation:

only answering so i can go back to not watching ads :/ but hope u dont get it wrong even tho i gave right answer

Answer:

P(t) = 25000 x 1.12^t

Step-by-step explanation:

25000 times 1.12 because it is increasing by a factor of 1.12.

How can you change a rational number to a decimal? Can you give an exsample?

Answers

Answer:

1/2=0.5

Step-by-step explanation:

¼=0.25

¾=0.75

1. ABCD is a quadrilateral in which angle A = angle C and angle B = angle D
Prove that, if the opposite angles of a quadrilateral are equal, then the quadrilateral is a
parallelogram.

Answers

Answer:

Quadrilateral ABCD is a parallelogram, quadrilateral with opposite sides parallel

Step-by-step explanation:

Statement,                                       Reason

∠A = ∠C,                                          Given

∠B = ∠D,                                          Given

Therefore, we have

∠A + ∠B + ∠C + ∠D = 360°,            Sum of interior angles of a quadrilateral

2×∠A + 2×∠B = 360°,                         Substitution property of equality

∴ ∠A + ∠B = 360°/2 = 180°

∠A + ∠B, are supplementary  angles,   Angles that sum up to 180°

Similarly,

∠C + ∠D, are supplementary  angles,   Angles that sum up to 180°

Therefore, segment DA is parallel to segment BC, (Lines with supplementary angles on the same side of the transversal)

Similarly, given ∠A = ∠C and ∠B = ∠D, we have;

∠A + ∠D and ∠C + ∠B are supplementary  angles,   Angles that sum up to 180°

Therefore, segment AB is parallel to segment DC, (Lines with supplementary angles on the same side of the transversal)

Therefore;

Quadrilateral ABCD is a parallelogram, quadrilateral with parallel opposite sides.

If f(x) is a linear function, f(3)=1 and f(2)=5, what is the y-intercept? A) -4 B) 1 C) 3 D) 11 E) 13

Answers

Step-by-step explanation:

let the function be $y=mx+c$ since it is linear.

1=3m+c

and

5=2m+c

solve c to get the y intercept

Find the perimeter of the following rectilinear figure.

Answers

Answer:

54

Step-by-step explanation

You can't find the other sides, it may seem impossible, but you have to look at this problem in a different way. To find the perimeter of any figure you just need to know the top base, bottom base, right side, and left side.

We see that the top base equals to the bottom base as it is a rectilinear figure. You have to treat the side with 8 and side with 5 as one base. So they equal 13. Now do the same for the bottom.

So, 13 + 13 = 26

The right side is equal to the left side as it is a rectilinear figure, so the right side is 4 + 10 = 14. The left side is also 14.

So 14 + 14 = 28

26 + 28 = 54 units

Sorry, if I couldn't explain properly. I tried my best. As it is hard for me to explain in words. If I could draw it out, I could do better.

Answer:

45

Step-by-step explanation:

I broke the sections apart and then added:

14+14=28

13+13=26

26+28=54

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