write an equation of a line that is parallel to y=3x-2 and runs through the point (1,6)

Answers

Answer 1

Answer:

y=3x+3

Step-by-step explanation:

If equations of lines are parallel, their slopes are the same. Therefore, we can sub '3' in for the slope value in y=mx+c to get y=3x+c.

Sub in the point:

6=3(1)+c

c=6-3=3

ANS: y=3x+3

Answer 2

Answer:

y = 3x + 3

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 )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so

y = 3x + c ← is the partial equation

To find c substitute (1, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = 3x + 3 ← equation of parallel line


Related Questions

Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28

(-3, -7). 1/7 what is the equation in point slope form

Answers

Answer:

y+7 = 1/7(x+3)

Step-by-step explanation:

Point slope form of a line is given by

y-y1 = m(x-x1)

where m is the slope and (x1,y1) is a point on the line

(y -  -7) = 1/7(x - -3)

y+7 = 1/7(x+3)

what is the perimeter of nadia 's square

Answers

Answer:

Part A: 100

Part B: 625

Step-by-step explanation:

Part A equation: 25 x 4 = 100

Part B equation: 25 x 25 = 625

Which sequence explains a geometric method of determining StartFraction 3 minus 17i Over 2 + 2 I EndFraction ?

Answers

You’re gonna have to take a picture, I can’t understand

The tip for excellent service in a restaurant is $25 for every $100 of the meal. What is the total bill (cost of meal plus tip) for a $75 meal?

A. $25

B. $93.75

C. $125

D. $100

Answers

the answer is B. 93.75

Hurry up please I have 27 minutes to anwser 25 guestions

Answers

It would be the second choice. Add by 25.

Answer:

C. The relationship between the quantities is: add 25.

Step-by-step explanation:

1x = 25y,

2x = 25 + 25 = 50y

3x = 50 + 25 = 75y

4x = 75 + 25 = 100y

Note:

As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).

6 = m/8 Solve the equation.

Answers

[tex]6=\frac{m}{8}\\x=48[/tex]

Solve the following quadratic equation by factorising first x^2 + 5x - 14 =0

Answers

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

2x+3x+5=x+25 taking a math quiz

Answers

Answer: x=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+5=x+25

Or,6x=30

Or,x=5

Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?

Answers

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

y = -3x - 5 ||| y = 9x + 7
A. (1,2)
B. (1,-2)
C. (-1,2)
D. (-1,-2)
E. No solution
F. Infinite solutions
PLEASE HELP ITS DUE TODAY

Answers

Answer:

d. (-1,-2)

Step-by-step explanation:

-3x-5=9x+7

-5=12x+7

-12=12x

-1=x

y=-3x-5

y=-3(-1)-5

y=3-5

y=-2

Help !! Answer please

Answers

Answer:

4

Step-by-step explanation:

Is 15625/1000000 between -1 and 0??

Answers

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

What is the x intercept of the line below?

Answers

Answer:

i think it is -5

Step-by-step explanation:

-5

Answer:

there is no x-intercept

Explanation:

the line does not cross the x-axis at any point. hoped this helped.

Harold opened a credit card at a department store with an APR of 14.55% compounded monthly. What is the APY on this credit card?

Answers

Answer:

the APY on this credit card is 15.56%

Step-by-step explanation:

The computation of the APY is as followS:

The nominal monthly rate is

= 0.1455 ÷ 12

= 0.012125

Now

real annual rate= [(1 + Nominal monthly rate)^number of months] - 1

= [(1.0.12125^12) - 1]

= 15.56%

Hence, the APY on this credit card is 15.56%

The same is considered by applying the given formula

The population of an endangered bird was about 230,000 in 2001. The equation y= 200,000(0.75)^x describes the bird la population, let x represent the number of years since 2001. Using the equation, how many birds will there be in 2021?

Answers

Answer:

634

Step-by-step explanation:

The population of the birds in 2001 = 230000

From 2001 to 2021 = 20 years

Given:

y = 200000[tex](0.75)^{x}[/tex]

where x is the number of years since 2001.

The population of the birds after 20 can be determined by;

y = 200000[tex](0.75)^{20}[/tex]

  = 200000(3.171211939 x [tex]10^{-3}[/tex])

  = 634.2424

y = 634

Thus, there would be 634 endangered birds in 2021.

i will mark brainlist if right!!!

Answers

Step-by-step explanation:

b2 =5

.....................

Please answer quick 20 points and if answer is right I will give Brainly

Answers

Answer:

216*64/8=1728....

Step-by-step explanation:

12³ is the appropriate answer

Simplify: 3x + 4y + 7x - 2y

Answers

Answer:

10x+2y

Step-by-step explanation:

combine like terms

Answer:

Step-by-step explanation:

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

10x + 2y

15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY

Answers

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?

Answers

Answer:

4x^6

Step-by-step explanation:

Area of the square pasture = L² where:

L is the

length of one side of the pasture

Given

L = 2x³

Area of the pasture = (2x³)²

Area of the pasture =2x³•2x³

Area of the pasture = 4x^{3+3}

Area of the pasture = 4x^6

Hence the area of the pasture is 4x^6

If 10x +5 = 100, is x greater than 10 or less than 10? Without solving the equation, explain how you
know.

Answers

Answer:

Step-by-step explanation:

X is less than 10 because you have the plus in the equation and so it as to be less than ten so that when you multiply it by 10 it equals less than 100. I don’t know if my explanation makes sense but I hope it helps.

4+1/4 x + 3 = 10 pls help me​

Answers

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Which statements are true about the function f(x) = –|x| – 2? Check all that apply.

The parent function and this function open in the same direction.
The parent function and this function have the same range.
The parent function and this function have the same domain.
The range of the function is all real numbers less than or equal to –2.
The domain of the function is all real numbers greater than or equal to –2.
There are no values from the domain of the parent function that are also in the domain of this function.

Answers

Answer:

a c d f

Step-by-step explanation:

Answer:

its (c) and (d)

Step-by-step explanation:

Please hurry, I have to turn this in Today. I’ll be posting more questions on it.

Answers

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Step-by-step explanation:

therefore the third angle is 51 degrees

What is the measure of Angle HEG?

Answers

Answer:

angle HEG = 12 degrees

Step-by-step explanation:

A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees

x + 78 = 90         >> subtract 78 from both sides

x = 12

angle HEG = 12 degrees

Answer:

18 degrees

Step-by-step explanation:

There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.

If x = -1, then which of the following inequalities makes a true statement?
A. -4x + 9 > 20
B. -4x – 5 < -15
C. -3x + 15 ≤ 18
D. -5x – 15 ≤ -22

Answers

Answer:

It is C  

Step-by-step explanation:  

Move all terms that don't contain x to the right side and solve.

Which number line represents the solutions to \X – 5| = 1?

Answers

Answer:

Second number line represents the [X-5]=1.

Step-by-step explanation:

Given : [X-5]=1 .

To find : Which number line represents the solutions to [X-5]=1.

Solution : We have given that [X-5]=1.

We can se the value x-5 is inside the modulus it may be positive or negative.

So, we will do it by both cases.

1) (x - 5) = 1

On adding by 5 both sides.

x = 1+5 = 6

x = 6.

2) if -(x-5) = 1

remove parenthesis

-x +5 = 1

On subtracting by 5 both side

-x = -4

On dividing by -1 both side

x = 4.

So , x = 4, 6.

Therefore , the second number line represents the [X-5]=1.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?

Answers

The required measure of the hypotenuse length is √544. Option D is correct.

In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units.

What are Pythagorean triplets?  

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.

Here,
Apply Pythagoras' theorem,
(hypotenuse)² = sum of the square of the legs,
(hypotenuse)² = 20² + 12²
(hypotenuse)²  = 544
hypotenuse = √544

Thus, the required measure of the hypotenuse length is √544. Option D is correct.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ2

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