Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12

Answers

Answer 1
I think slope intercept form is y = mx + b. So first write the original line like this:

2y = 14x + 12 (add 14x to both sides)
y = 7x + 6 (divide all by 2 so we just have y and not 2y)

Parallel means it has the same slope but different intercept. So we need to know which intercept allows us to have a slope of 7 but go through the point (1, 16).

y = 7x + b
16 = 7(1) + b (substitute x & y)
16 = 7 + b (simplify)
9 = b (subtract 7 on both sides)

So the intercept is 9. So the equation of the parallel line would be y = 7x + 9.

And that answer is parallel to the original line y = 7x + 6; the whole line is shifted upwards by 3 units.

Related Questions

Find the axis of symmetry for this parabola:
y = -3x2 + 6x + 1
Write your answer as an equation.

Answers

The graph of the given Quadratic equation is attached in the Answer, where we can se that the axis of symmetry is :

x = 1

what is the percent of 3/8

Answers

Answer: 37.5%

Step-by-step explanation: To convert the fraction to decimal first convert to decimal and then multiply by 100. Therefore, the solution is 37.5%.

Answer:

37.5%

Step-by-step explanation:

There are 40 runners in a race. How many ways can the runners finish​ first, second, and​ third?

Answers

Answer:

117600

Step-by-step explanation:

50 x 49 x 48 = 117,600 ways

You have 50 possible for 1st, 49 for 2nd, 48 for 3rd

or

Permutations 50P3 = 117,600

There are total 59280 ways that can the runners finish first, second and third in a race.

What is permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

Formula for permutation

[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]

Where,

[tex]nP_{r}[/tex] is permutation.

n is total number of objects.

r is number of objects selected.

According to the given question

Total number of runners, n = 40

Total number of runners to be selected for first, second and third position  is 3 i.e. r = 3

Therefore,

The number of ways can the runners finish the first, second and third is given by

[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]

Hence, there are total 59280 ways that can the runners finish first, second and third in a race.

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(-10) + 3 please help

Answers

Answer:

The answer is -7 the answer is-7

Answer:

-7

Step-by-step explanation:

(-10)+3

-10+3=-7

-4-6=-10

-10+7=-3

On Monday, your bank account balance was -$12.79. Because you didn't realize this, you wrote a check for
$30.56 for groceries.

Answers

Answer: New balance would be - $43.35

Explanation: -12.79 - 30.56 = -43.35

Which of the expressions is equivalent to the expression 4(x+5)+3?

A. 4•x•4•5+3
B. 4•x+4•5+3
C. 4•x•3+4•5+3
D. 4+x+4+5+3
E. Other

Answers

It’s equation B I’m pretty sure

Is your answer to problem 1a greater than, less than or equal to the answer in
the Example? Why?

Answers

Answer:

You forgot to put the picture please redo and ill edit my answer

Step-by-step explanation:

Kenhitis tines
6. Selena picked eight baskets of tomatoes. Her sister threw away one of
the baskets due to bruising. What percent were good?

Answers

Answer:

87.5%

Step-by-step explanation:

Total baskets = 8Good baskets = 8 - 1 = 7

Percent of good:

7/8*100% = 87.5%

Total number of baskets of tomatoes = 8

Her sister threw away = 1

Number of baskets that are good = 8 - 1 = 7

Percentage of good baskets =

=> 7/8 × 100%

=> 87.5%

Therefore, The percentage of good baskets is 87.5%

Which one ? Please help.

Answers

Answer:

B C D  are correct.

Step-by-step explanation:

a+b-c=r/t

So,

a=(t/r)-b+c therefore wrong

b=(r/t)-a+c therefore correct

c= (-r/t)+a+b therefore correct

d=t(a+b-c)

Anybody a expert or really good at social studies cuz I really need that help answer ASAP

Answers

bbc because its super big like super big

Step-by-step explanation:

Find the surface area 5 8 10

Answers

Answer:

340

Step-by-step explanation:

last time I got this type of question, I either just multiplied it or sum, try doing different methods if u can because I got this question right and I forgot how I did it, but I feel like I multiplied something

Answer:

340

Step-by-step explanation:

which is the result of the surface area

To the nearest hundredth, 11.6/0.95 is about

Answers

Answer:

12.21

Step-by-step explanation:

A rare disease has been discovered that affects 2 out of every 10,000 trees in a forest, what percent of trees are affected? Plz show work if you can

Answers

0.02 percent of trees are affected

hello there

im looking for some help here thanks.

Answers

Answer:

divide 2 by 9

the result is 0.2 (repeats so need a bar over the 2) is a repeating decimal.

divide 3 by 10

the result is 0.3, is a terminating decimal.

both are rational and real numbers

Answer:

To change 2/9 to a decimal, divide 2 by 9.

The result, 0.222..., is a repeating decimal.

To change 3/10 to a decimal, divide 3 by 10.

The result, 0.3, is a ____ decimal. (I don't know the answer choices, but it would be the one that is the decimal not repeating).

Both 2/9 and 3/10 are irrational numbers.

Step-by-step explanation:

Ratios
Alexander has a Collection of baseball cards he wants to organize it’s way book use the table to determine how many pages he will hold 234 cards

Answers

Step-by-step explanation:

setup a porportion. Make it pages/cards. Solve for the number of pages, p.

[tex] \frac{3}{18} = \frac{p}{234} [/tex]

reduce the fraction 3/18

[tex] \frac{1}{6} = \frac{p}{234} [/tex]

cross multiply

[tex]6p = 234[/tex]

divide by 6

[tex] \frac{6p}{6} = \frac{234}{6} [/tex]

[tex]p = 39 \: pages[/tex]

There are 39 pages he will hold for 234 cards.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent

to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Alexander has Collection of baseball cards which he wants to organize.

Now, By the given table;

The ratios for Pages to cards are,

Number of pages : Number of cards

⇒ 3 : 18

After simply;

⇒ 1 : 6

And, 6 : 36 = 1 : 6

Thus, Let number of pages for the given cards = x

Then, By the definition of ratio we get;

x : 234 = 1 : 6

Solve for x as;

x / 234 = 1/6

x = 234/6

x = 39

Thus, There are 39 pages he will hold for 234 cards.

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Consider the following two loans for P=$5,000. Loan A: 2.5 year loan, annual interest rate of 12%. Loan B: 5 year loan, annual interest rate of 6%. Both loans are paid monthly, and their interest is compounded monthly. Calculate the absolute difference between the total interest paid on both loans. Round your answer to the nearest cent.

Answers

53.5 dollars is the total interest paid on both loans.

What is Compound Interest ?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

Loan A :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 12/100)∧(5/2) - 5000

CI = 1637.66

Loan B :

CI = P(1 + R/100)∧(T) - P

CI = 5000(1 + 6/100)∧(5) - 5000

CI = 1691.13

difference between two CI

= 1691.13 - 1637.66

= 53.47

= 53.5 dollars

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Simplify by dividing.
use photo

Answers

Answer: -27/64

Step-by-step explanation:

flip to multiply by the reciprocal.

becomes:  (-3/8) · 9/8

a negative · a positive makes a negative.

multiply normally, add the negative sign after.

9 · 3 = 27

8 · 8 = 64

new fraction: 27/64 (cannot be simplified form here)

add negative sign.

final: -27/64

100 points

Answer the following questions for the expression: -5x+3y-72+ 10 a) How many terms does the expression have? b) What is the constant of the expression? c) What is the third term in the expression? d) What is the coefficient of the second term?

Answers

A. This expression has 4 terms
B. The constants are -5, 3, 72 and 10
C. The third term is 72
D. The coefficient is y

PLEASE HELP ME ITS ALGEBRA 2 THANK YOUUUU

Answers

Answer:

10

Step-by-step explanation:

Proprotions:

81/9 = 90/c(?)

so

81c= 9(90)

81c=810

810/81=

10

so c=10

Hope it helped!!

12.5 miles per hour to meters per second
What would it be if you change 12.5 miles per hour to meters per second?

Answers

Answer:

12.5 mph = 5.588 m/s

Step-by-step explanation:

To convert a mile per hour measurement to a meter per second measurement, multiply the speed by the conversion ratio.

Since one mile per hour is equal to 0.44704 meters per second, you can use this simple formula to convert:

Tìm đạo hàm Y' = Y'(x) tại X0 = π/4 của hàm số y -= y(x) được cho bởi phương trình tham số
X= arctan t
y = ln t

Answers

about it ok to my house and Elsa and Anna and I are going to my house and I don't know what it's like to my

Can someone pls help me

Answers

Answer:

1, 4, 5, 6

Step-by-step explanation:

1 - Division is considered a fraction, subjected to fraction as division also. Since - 5/17 is basically considered -5/-17 (via 4), 1. is a choice.

4 - As explained, - 5/17 is -5/-17, so this is also a choice.

5,6 - Whether the negative symbol is in the numerator and/or denominator, it is officially thought overall to be - 5/17.

Please please help me I will give you brainless please

Answers

Answer:

[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]

maths is not my thing ​

Answers

Answer:

If you are looking for the number of faces/sides….

Step-by-step explanation:

1:6

2: 5

3: 8

4:5

5:5

6:5

Hope this helps

Dont forget to smash that heart at the bottom <3

Have a great day,you’re amazing !

Plz Mark Brainliest

Lmk if its right I’m not sure whether number 2 is 4 or 5

I haven’t done shapes in a while .-.

A 35-inch board is to be cut into three pieces so that the second piece is twice as long as the first piece and the third piece is 4 times as long as the first piece. If x represents the length of the first piece, find the lengths of all three pieces

Answers

Answer:

5 inch - first board

10 inch - second board

20 inch - third board

Step-by-step explanation:

x = first board

board two = 2x

board three =4x

x+2x+4X=35

7x=35

x=5 inch - first board

10 inch - second board

20 inch - third board

Use function notation to write the equation of the line

please asap

Answers

Answer:

The correct answer is the first option.

Step-by-step explanation:

The correct function notation is f ( x ) = x because the slope is 1, and the y-intercept is 0.  The y-intercept is the point on the graph where it crosses the y-axis.  

Therefore, the correct answer is the first option. Brainly isn't allowing me to post the equation for some reason.

translate to a mathematical equation:
Two times a number less than four is twenty-eight

Answers

2 x n = 28 - 4 :))) i pretty sure

What the hell is a lower quartile and a tangent please help

Answers

Answer:

A lower quartile is the value under which 25% of data points are found when they are arranged in increasing order. A tangent is a straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

Step-by-step explanation:

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm, how fast is the area of the rectangle increasing?

Answers

Given :

The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 6 cm/s. When the length is 7 cm and the width is 4 cm .

To find :-

how fast is the area of the rectangle increasing?

Solution :-

As we know that :-

A = lb

To find the rate :-

d(A)/dt = d(lb)/dt .

Differenciate :-

dA/dt = l (db/dt ) + b (dl/dt )

Substitute :-

dA/dt = 6*7 + 4* 8 dA/dt = 42 + 32 cm²/s dA/dt = 74 cm²/s

slope of the line that passes though (-4.5,7/5) and (3,3.5)

Answers

Answer:

5

Step-by-step explanation:

y2-y1

--------

x2-x1

8/1.5=5

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