if the gradient of a line is 2 and (7,2) is a point on the line, find it's equation​

Answers

Answer 1

Answer:

y = 2x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2 , then

y = 2x + c is the partial equation

To find c substitute (7, 2 ) into the partial equation

2 = 14 + c ⇒ c = 2 - 14 = - 12

y = 2x - 12 ← equation of line


Related Questions

Can you help me find the missing sides and calculate the perimeter?

Answers

The bottom side is 1m and the side on the right is 2m because looking at the other sides all of the sides should be 10.

Step-by-step explanation:

???????????I need help

Answers

Answer:

17. first box- 88

second box- 176

18. first box- 9

second box- 5 5/8

Step-by-step explanation:

See photo.

please help i do not get it

Answers

your starting temperature was 29 degrees. it drops 5 degrees every hour. let the hours be X.

so, 29-5x would be the equation.

answer: 29-40 = -11. :)

explanation: multiply 5 times 8, because 9am to 4pm is 8 hours. this is 40. take your starting temp, 29 minus 40.

hope this helps

Solve for n: 9^(n-1) = (1/3)^(4n-1) Show your work.

Answers

Answer:

n=1/2 after being simplified

Step-by-step explanation:

Use Division Distributive Property:

9^n-1=1/3^4n-1 then convert both sides to the same base

3^2(n-1) = 3^-(4n-1)

cancel the base of 3 on both sides

2(n-1) = -4n+1

then expand 2n-2=-4n+1

add 2 to both sides 2n=4n+1+2

simplify: -4n+1+2 to -4n+3

2n=-4n+3

add 4n to both sides: 2n+4n=3

simplify: 2n+4n to 6n

6n=3

divide both sides by 6

n=3/6

simplify and n=1/2

Evaluate the expression: +22 - (8 - 6) = 3
5
3
5
4.
1
3
5

Answers

Answer:

I was able to get 20 = 3 as my answer. Hope this helps.

Answer:

[tex]4\frac{1}{3}[/tex]

Step-by-step explanation:

Apply PEMDAS order of operations:

→ Parentheses

→ Exponents

→ Multiplication

→ Division

→ Addition

→ Subtraction

________________

[tex]\frac{3}{5}+2^2-\frac{2}{5}\left(8-6\right)\div \:3=4\frac{1}{3}[/tex]

1) Parentheses:

[tex]\left(8-6\right)[/tex]

[tex]8-6[/tex]

[tex]=2[/tex]

[tex]\frac{3}{5}+2^2-\frac{2}{5}\times \:2\div \:3[/tex]

2) Exponents:

[tex]2^2[/tex]

[tex]=4[/tex]

[tex]\frac{3}{5}+4-\frac{2}{5}\cdot \:2\div \:3[/tex]

3) Multiplication/Division:

[tex]\frac{2}{5}\times \:2\div \:3[/tex]

[tex]\frac{2}{5}\times \:2[/tex]

Convert to fraction:

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

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

Multiply 2 × 2, and 5 × 1:

[tex]=\frac{4}{5}[/tex]

[tex]\frac{4}{5}\div \:3[/tex]

Convert to fraction:

[tex]3=\frac{3}{1}[/tex]

[tex]\frac{4}{5}\div \frac{3}{1}[/tex]

Apply fraction rule: [tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]\frac{4}{5}\times \frac{1}{3}[/tex]

Multiply 4 × 1 and 5 × 3:

[tex]\frac{4}{15}[/tex]

[tex]\frac{3}{5}+4-\frac{4}{15}[/tex]

4) Addition/ Subtraction:

[tex]\frac{3}{5}+4[/tex]

[tex]=\frac{23}{5}[/tex]

[tex]\frac{23}{5}-\frac{4}{15}[/tex]

[tex]=\frac{13}{3}[/tex]

Finally, Convert fraction to mixed number:

[tex]\frac{13}{3}=4\frac{1}{3}[/tex]

___________________________

What is the scale factor? Polygon FGHIJ is a dilation of polygon ABCDE.

Thanks

Answers

Answer:

1/2 scale factor.

Step-by-step explanation:

The polygon was dialated with a scale factor of 1/2

Hope this helps!

What is thissss someone help

Answers

Answer:

1. Neither

2. Odd

3. Odd

4. Even

Step-by-step explanation:

Graphically, an equation is even if it is symmetrical across the y-axis.  An equation is odd if it is symmetrical after folded over y and x.  An equation is neither if it fulfills neither requirement.

Algebraically, an equation is even is f(x) = f(-x), and an equation is odd if f(-x) = -f(x).

Hope it helps :) and let me know if you want me to elaborate.

0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

Hurryyyy

An equation is modeled below Determine the solution for the equation.

Answers

Answer:

4

Step-by-step explanation:

:)

will the point (2, 6) be on the graph of y=3x

Answers

Answer:

the answer is yes it will

Answer:

yes

Step-by-step explanation:

since (x,y) is 2,6, we can take x as 2 and y as 6. For the answer to be yes, y=3x must be equal to the x and y values. Lets plug in the values. Is (6)=3(2)?

3 times 2 is 6! So the answer is yes.

100 POINTS AND BRAINLIEST!!

Answers

Answer:

A.   $47,143

Step-by-step explanation:

Given information:

Current annual lifestyle cost ≈ $33,000Take home pay estimation = 70%

Gross income: Total income before any deductions.

If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.

Let x = annual gross income

Therefore:

70% of x = $33,000

⇒ 0.7x = 33000

⇒ x = 33000 ÷ 0.7

⇒ x = 47142.8571...

Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.

Annual gross income be y

70% of y=330000.7y=330007y=330000y=330000/7y=47143

Option A

A rectangle has a perimeter of 36 cm. Its width is 4 cm less than its length. Find
the length and width of the rectangle.

Answers

Answer:

14

Step-by-step explanation:

Perimeter = 2 x length + 2 x width  = 2L  + 2w

 

 Width is 4 cm less than the length, so w = L-4

 

  36 = 2L + 2(L-4)

 

 36 = 2L + 2L - 8

 

 36 = 4L - 8

 

44 = 4L

 

 L = 11

 

w = 7

 

2(11) + 2(7) = 22 + 14 = 36

Length is 11, width is 7

Select the elements in
A
.
A
=
{
x
:
x

3
=
5
}

Answers

Answer:

3

Step-by-step explanation:

Geometric proofs. I just don’t understand it and my teacher isn’t helping.

Answers

The midpoint of a line can be represented by the point that is in the very center of the line. A line segment such as AT also represents half of the line. The symbol of the tilde with the equal sign underneath represents congruence meaning the two segments are the same. Therefore each equation shows the same true statement in a different form

Which one of the following values of k makes the trinomial 9x^2 + kx + 64 a perfect square

a 24
b 48
c 16
d 42

Answers

Answer:

it is C 16

Step-by-step explanation:

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

 Foil (or distribute) to get: x² - 16x + 64 The k-value is 16

How to divided 2.1 by 12.6

Answers

Answer:

0.1666666666666667

Step-by-step explanation:

2.1/12.6

Answer 0.16666666666666667

Double the product of eight and a number

Answers

Answer:

Oh ok

Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement "Double the product of eight and a number" in the form of an expression can be written as 16x.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Let the unknown number be represented by x.

The product means multiplication, therefore, we need to double or multiply the product or multiplication of eight and x.

Thus, The given statement in the form of an expression can be written as,

2(8 × x)

= 2(8x)

= 16x

Hence, the given statement "Double the product of eight and a number" in the form of an expression can be written as 16x.

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ5

89.2x5.3
show steps ppls

Answers

Answer:

472.76

Step-by-step explanation:

6:29

Multiplying decimals: place value (video)

Khan Academy · Khan Academy

Mar 23, 2021

How can I find 75% of any number?

Answers

Answer:

75% can be converted into a decimal, any percentage can.

Once converted, 75% is actually .75

At this point you can move the decimal place two place up, and put it over 100, in a fractal form

75/100  

You can then simplify this to

3/4  

You can then use this fraction as a conversion factor with any number, for example if we took the number 8

8∗3/4  

2∗3/1=6

Divide it into 75 groups

PLEASE HELP LIKE ACUALLY HELP INSTEAD OF SPAM ITS REALLLYYT IMPORTAMNTT

Answers

What’s the question?

Answer:

nice

Step-by-step explanation:

srry figure it out its not that complicated to waste my time on it

Expand and simplify

3(x-y)+4(x+2y)​

Answers

Answer:

3x-3y+4x+8y

The answer is: 7+5y

Step-by-step explanation:

Step-by-step explanation:

3x-3y+4x+8y

3x+4x-3y+8y

7x+5y Ans

Only like terms can be simplified

Matthew is taking a multiple choice test with a total of 40 points available. Each question is worth exactly 2 points. What would be Matthew's test score (out of 40) if he got 9 questions wrong? What would be his score if he got xx questions wrong?

Answers

Answer:

22 points

Step-by-step explanation:

If their are fourty points avaliable and each question is worth two points, then there are a total of twenty questions (20 times 2 is 40). Therefore, if he gets nine questions wrong, he would have gotten 11 right. Because we know that each question is two points, we may just multiply 11 by 2, which means he has gotten a score of 22 points!

Someone pleaseee help me out with this question!!!

Answers

Answer:

51.2%

Step-by-step explanation:

I just reduced 20% each time starting with 100, so it became 51.2/100 or 51.2%

Answer:

c 48.8%

Step-by-step explanation:

the % of price reduction = 1-80%×80%×80%

=48.8%

Which equation represents the line that passes through (-8,11) and
?

Answers

Answer:

human

Step-by-step explanation:

i need points sorry

HELP PLEASE!!
What is the value of x

Answers

X=-8 is your answer for this problem

CAN SOMEONE PLEASE HELP WITH QUESTIONS 3 THROUGH 11?? YOU DON’T EVEN HAVE TO DO ALL OF THEM JUST THE ONES U FEEL LIKE DOING (ILL MARK AS BRAINLIEST!!)

Answers

Answer:

3. 3/2

4. -1/3

5. -3.5

6. -6and 2/3

7. -18and 13/24

8. 1/18

9.-2.6

10.-1.83

11. 14.963

Step-by-step explanation:

HOPE THIS HELPS, if not see me in the comments

BRANILIEST PLZZZ

please help me it's an 8 grade question​

Answers

It’s the third answer choice ✨

Solve the inequality and graph the solution on the line provided. 3x+13<28

Answers

Answer:

x<5

Step-by-step explanation:

3x+13<28

Subtract 13 from each side

3x+13-13<28-13

3x < 15

Divide each side by 3

3x/3 <15/3

x < 5

There is an open circle and 5 and a line going to the left

Ms. Janis teaches math to 254 students each day. she grades one paper for each student each day. if Ms. Janis teaches for 25 days this month, how many papers does she grade?

please help me​

Answers

Answer:

6,350

Step-by-step explanation:

254 times 25 is 6,350

Answer:

6350 Papers

Step-by-step explanation:

254 x 2 = 508

508 x 10 = 5080

(This is basically 254 x 20)

254 / 2 = 127

127 x 10 = 1270

(This is basically 254 x 5)

5080 + 1270 = 6350

Simplify: A. 35/6 B. 29/6 C. 12/5 D. 1/6

Answers

Answer:

[tex] \frac{49 - 3}{6} + \frac{24 - 17}{3} = \frac{46}{6} + \frac{7}{3} = \frac{46 + 7 \times 2}{6} = \frac{60}{6} = 10[/tex]

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