A line is parallel to y = 4x – 2 and
intersects the point (5, -11).
What is the equation of this parallel line?
y = [?]x +
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

Answers

Answer 1

Answer:

y=4x-31

Step-by-step explanation:

Ignore the hint. Point slope form makes everything so much harder than it has to be.

Parallel lines always have the same slope, in this case 4.

So our equation is now: y = 4x + b

Let's solve for b by plugging in (5, -11), as it's the only point we know is on the parallel line.

-11 = 4(5) + b

-11-20 = b

b = -31

So plug in b: y = 4x - 31

--------------------

Also rate and tell me if I'm correct :)

Answer 2

Answer:

y = -4x + 15.

Step-by-step explanation:

To find the equation of a line perpendicular to y = -2 and passing through the point (4, -1), we can use the point-slope form of a linear equation.

The given line y = -2 has a constant slope of 0 since there is no variable term involving x. A line perpendicular to it will have an undefined slope.

Using the point-slope form, we have:

y - y₁ = m(x - x₁),

where (x₁, y₁) represents the coordinates of the given point (4, -1), and m represents the slope.

Since the slope is undefined, the equation becomes:

y - (-1) = undefined(x - 4).

Simplifying:

y + 1 = undefined(x - 4).

Now, we can write the equation in slope-intercept form by substituting the slope as -4 (the negative reciprocal of 0):

y + 1 = -4(x - 4).

Expanding the right side:

y + 1 = -4x + 16.

To isolate y, we can subtract 1 from both sides:

y = -4x + 16 - 1.

Combining the constants:

y = -4x + 15.

Therefore, the equation of the perpendicular line is:

y = -4x + 15.


Related Questions

In the diagram below, points A and B represent two lakes. How far apart are the lakes? 131.5 ft 456.3 ft 474.6 ft 633.9 ft

Answers

Answer:

I don't know the answer, but I just took a test and the answers ARE NOT 456.3 and ARE ALSO NOT 474.6

Step-by-step explanation:

The distance between the two lakes = 633.9 ft. So, we take the 4th option.

What is the law of cosines?

By the law of cosines, a triangle with sides a, b, and c, and the angle opposite to c being γ,

c = √(a² + b² - 2.a.b.cos γ)

How do we solve the given question?

To solve the question, we will use the law of cosines.

Let a = 560 ft., b = 350 ft., c = d (unknown distance).

γ = 160° - 75° = 85°.

We substitute the values in the formula to get,

d = √(560² + 350² - 2(560)(350)(cos 85°)

or, d = √(313600 + 122500 - 392000*0.0871)

or, d = √(436100 - 34165.05116)

or, d = √401934.948842

or, d = 633.983397

So, we take d = 633.9 ft., the 4th option.

∴ The distance between the two lakes = 633.9 ft.

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Look at the diagram.
Which angle is supplementary to

Answers

can u maybe write the full question?

What is the value of log6255?

Answers

Answer:

1/4

Brainliest!

Step-by-step explanation:

1/4 on my calculator

The value of log 5 to the base 625 is 1/4 .

How to find the value of logarithm with any base value -

From the definition of logarithm , we know that if log a to the base b is equal to x , where a, b are non negative integer and x is an assumed positive integer then we have ,

∴ log a to the base b = x

⇒ [tex]a = b^{x}[/tex]

Thus we can take log 5 to the base 625 = x

∴ [tex]5 = 625^{x}[/tex]

From the above equation, we can get the value of x as 1/4

Thus the value of log 5 to the base 625 is 1/4

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The line has a slope of 7/10 and a y intercept of 3/10. Find the equation of the line.

Answers

Answer:

y=7/10+3/10

Step-by-step explanation:

HELP ME PLEASE 10 POINTS ON IT PLEASE HELP ME ​

Answers

Answer:

4, 12, 16 (respectively)

Step-by-step explanation:

if you need one just comment and ill add one

[tex]answer = \\ red = 4 \\ blue = 12 \\ green = 16 \\ solution \: \\ let \: the \: ratios \: be \: x \: 3x \: 4x \\ x \ + 3x + 4x = 32 \\ or \: 8x = 32 \\ or \: x = \frac{32}{8} \\ x = 4 \\ replacing \: value \\ 3x \\ = 3 \times 4 \\ = 12 \\ 4x \\ = 4 \times \: 4 \\ = 16 \\ hope \: it \: helps...[/tex]

Please hurry
What function is represented in the table?

Answers

Answer:

B. 3(2^x)

Step-by-step explanation:

3(2^x) is the only function that yielded the given outputs when the inputs were plugged in.

Which expressions are equivalent to -3(2w+6)-4

Answers

Answer:

B

Step-by-step explanation:

Am equivalent expression would be 2(-3w+(-11))= -6w-22

Sorry for my first answer

Mark wishing brainliest

Answer:

B. 2(-3w+(-11))

Step-by-step explanation:

-3(2w+6)-4=

-6w-18-4=

-6w-22=

2(-3w+(-11))

There are 7 red cards and 13 blue cards

in a deck of cards. If Yuki randomly

selects a card from the deck, what is the

probability that it is a red card?

Answers

Answer:

7/20

Step-by-step explanation:

#red cards/total # of cards

7/(7+13)

7/20

Answer:

7/20

Step-by-step explanation:

I need help pleassseee

Answers

Answer:

The length of the radius is 3cm.

Step-by-step explanation:

Given that a circle is inscribed in a square. The side of the circle touches the side of the square which is the diameter. So the diameter of circle is 6cm, in order to find it's radius, you have to duvide it by 2 :

[tex]radius = diameter \div 2[/tex]

[tex]radius = 6 \div 2[/tex]

[tex]radius = 3cm[/tex]

Answer:

[tex]6^{2} - 3^{2} \pi[/tex] = area of the black  7.725666

[tex]x^{2} - r^{2} \pi[/tex]

area of square - area of circle

the diameter of the circle is 6 and half that is the radius = 3

The parent function f(x) = 5 ^ x has been venically compressed by a factor of one-half shifted to the three units and up two units choose the correct function

Answers

Answer:

See the explanation

Step-by-step explanation:

The given function is:

f(x) = 5ˣ

Transformation of a parent function is given by the formula:

g(x) = k · f(x + a) + b

Where

k represents vertical compression if |k| < 1 and k represents vertical stretch of |k| > 1

f(x) shifts left by a units if a>0 and f(x) shift right by a units if a<0

f(x) shift up by b units if b>0 and f(x) shifts down by b units if b<0

In the question it is given:

k = 1/2

Shifts right by 3 units ⇒ a = -3

Shift up by 2 units ⇒ b = 2

Substitute in the formula:

g(x) = (1/2) · f(x - 3) + 2

[tex]g(x) = \frac{1}{2}\cdot5^{x-3}+2[/tex]

Penny sells knitted scarves for 12$ each. The cost of supplies to make each scarf is x dollars. How much profit will Penny make if she sells y scarves?

Answers

Answer:

If I'm guessing, you're supposed to write an equation. So the answer would be yx + 12y.

Step-by-step explanation:

Answer:

the answer is y(12-x)

Step-by-step explanation:

i took the text and it said i got it right hope i helped have a great day/night and so soorry if i get it wrong byee

Please help me I need to submit this asap

Answers

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here { a, b ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) = [tex]\frac{1}{2}[/tex] ← from (- 1, [tex]\frac{1}{2}[/tex] ) , thus

average rate of change = [tex]\frac{4-\frac{1}{2} }{2-(-1)}[/tex] = [tex]\frac{\frac{7}{2} }{3}[/tex] = [tex]\frac{7}{6}[/tex] → D

Gregory drinks 6 liters of water over 2 days. In how many days would he consume another 12 liters?

Answers

Answer:

12 liter in 4 days

Step-by-step explanation:

twice as many days, twice as many liters

Answer:

6 days

Step-by-step explanation:

"another 12 liters" => 12liters + 6 liters = 18 liters

6 liters - 2days

18 liters - x

6x = 18 * 2

x = 6 days

Tommy can exchange 8 euros for 11 dollars.At this rate, how many dollars can Tommy get with 12 euros?

Answers

Answer:

16.50 dollars

Step-by-step explanation:

We can use proportion

8 euros --- 11 dollars

12 euros --- x dollars

x = 12 * 11/8 = 16.5= 16.50 dollars

Answer:

16.5 dollars

Step-by-step explanation:

Let's make a proportion using the following setup.

dollars/euros=dollars/euros

Tommy can get 11 dollars for 8 euros.  We don't know how many dollars he can get with 12 euros. Therefore, we can say that he can get x dollars with 12 euros.

11 dollars/8 euros=x dollars/12 euros

11/8=x/12

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 12. The opposite of division is multiplication. Multiply both sides by 12.

12*(11/8)=(x/12)*12

12*11/8=x

12*1.375=x

16.5=x

Tommy can get $16.50 with 12 euros.

Please see attached image for problem.

Answers

Answer:

(0, 0)

Step-by-step explanation:

(4+(-4))/2= 0/2= 0

(-5+5)/2=0/2= 0

(0, 0)- mid point

Answer:

[tex](4,-5);(-4,5)[/tex]

Remember this can be interpreted as:

[tex](x_1,y_1);(x_2,y_2)[/tex]

Looking at our x values first we have:

[tex]\frac{4+(-4)}{2}=\frac{0}{2}=0[/tex]

Looking at our y values we have:

[tex]\frac{-5+5}{2}=\frac{0}{2}=0[/tex]

So our midpoint would be the point [tex](0,0)[/tex]

please help, i need to pass. which function represents the inverse of function f below? ​

Answers

Answer:

B

Step-by-step explanation:

If you switch the x and y you can solve for the inverse by solving for y like this:

x=3y+5

3y=x-5

y=(x-5)/3

which can be rewritten as B.

Please. Answer Giving Brainliest!! (05.07) The net of a pyramid is shown below: The net of a square based pyramid, with base edges labeled 5 inches and the height of the triangle labeled 10 inches. The surface area of the solid is ____ square inches.

Answers

Answer: Area= square

A=5×5= 25

A=triangle 1 & 3

5×10= 50÷2= 25 25+25=50

A=triangle 2&4

10×5=50÷2=25×2=50

Area of 1-4= 25+50+50= 125

A= 125

I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much

The front elevation, side elevation and plan of a solid are all the same, as shown. (It is shown on the picture provided). Write down the name of the solid

Answers

Answer:

Cube

Step-by-step explanation:

The front elevation, side elevation and plan of a cube are all square

Answer:

The name of the solid is cube.

Step-by-step explanation:

What is cube?

A cube is a three-dimensional solid figure, having 6 square faces. It is a geometrical shape with 6 equal faces, 8 vertices, and 12 equal edges.

What is elevation?

The view from the top is called the plan. The view from the front and sides are called the elevations (front elevation and side elevation).

The front elevation, side elevation and plan of a solid are all same shows a cube.

To know more about elevation, cube here.

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the bearing of m from N is 70 degree what is the bearing gor N from M ?​

Answers

Answer:

250°

Step-by-step explanation:

The bearing of N from M is 70° + 180° = 250°

In 1867, the United States purchased the Alaska territory from Russia for $7.2 x 10^6. The total area was about 6 x 10^5 sq miles. What was the price per square mile?

Answers

Answer:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

Step-by-step explanation:

the two parties agreed that the United States would pay Russia $7.2 million for the territory of Alaska. For less that 2 cents an acre, the United States acquired nearly 600,000 square m

Kristin spent $128 on shirts. Fancy shirts cost $20 and plain shirts cost $10. If she bought a total of 8
shirts, then how many of each kind did she buy?

Answers

Answer:

6 Fancy shirts

Step-by-step explanation:

She buy a Total of 6 shirt

Homework: 7.1 hw
Score: 0 of 1 pt
6 of 9 (5 complete)
7.1.26
Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no rioney is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 4 years?
b. How much will be in the account after 17 years?
c. How many years will it take for the account to contain $2,500?
d. How many years will it take for the account to contain $3,000?
a. After 4 years, the amount in the account will be $
(Do not round until the final answer. Then round to the nearest cent as needed.)

Answers

Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04  = 17 years

c. 4.57 years = $ 2,499.57

d. 8.3 year = $ 2,998.48

e.  $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period

Drag the expressions to show the order of their quotients from least to greatest

Answers

Answer:

A,D,BC

Step-by-step explanation:

How many people are on both the golf team and the swim team?


11

6

5

3

Answers

Answer:

3 people

Step-by-step explanation:

3 people as per picture

Answer:

3 people's are on both the golf team and the swim team

Which statement about the figures shown below is true?

PLS HEP ASP BEST GETS FOLLOW AND BRAINLIEST​

Answers

The answer is C. Figures K and N are parallelograms. Hope this helped !


A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 26
centimeters, and the length of the other leg is 24 centimeters. The student incorrectly says that the
length of the hypotenuse is 7.1 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.​

Answers

Answer:

c ≅ 35.4 cm.

Step-by-step explanation:

To find the length of the Hypotenuse of a triangle, the formula  a² + b² = c² will need to be used. Therefore:

26² + 24² = c² (c is the hypotenuse)

1252 = c²

√1252 = c

c ≈35.38

Round to tenths place:

c ≅ 35.4 cm. This is the Hypotenuse of the triangle.

Given y = (2x + 3)2, what is the standard form of the given quadratic equation.

Answers

Answer:

[tex]y=4x^2+12x+9[/tex]

Step-by-step explanation:

Perform the square of the binomial, combine like terms, and then write the remaining expression in decreasing order of powers of x:

[tex]y=(2x+3)^2\\y=(2x+3)\,(2x+3)\\y=4x^2+6x+6x+9\\y=4x^2+12x+9[/tex]

40 points to whoever can answer for me!

Answers

Answer:

x≤-3      2 ≤x<7  

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3  X =2  X=7

We need to check the values when

x≤3  -3 ≤ x≤2           2 ≤x<7   x>7  

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) =   negative

-3 ≤x≤2    

(positive)(negative) / (negative) = positive  this range does not work

      2 ≤x<7  

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

Answer:

The second option is the correct answer.

Thank you.

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

What is the square root of -1?
N
-
1

Answers

Answer:

there is no square root for -1

because it is there only for natural numbers

not sure because i just learned but ik that there isn't any square root for -1

i = the square root of -1
It’s an imaginary number

A painter is painting a rectangular wall that measures 22.8 ft by 17.3 ft. Each gallon can of paint covers 100 square feet. What are the fewest gallons needed to paint the wall?
____gallons

Answers

Answer:

1.548 gallons

Step-by-step explanation:

Length of the rectangular wall = 25.1 ft.

Width of the rectangular wall = 18.5 ft.

Area of the rectangular wall = length * width = 25.1 * 18.5

= 464.35 square feet

300 square feet wall can be painted using 1 gallon of paint.

=> 1 square feet wall can be painted using  gallon of paint.

=> 464.35 square feet wall can be painted using  gallon of paint.

= 1.548 gallons of paint

Answer:

4 gallons

Step-by-step explanation:

The first thing you want to do is times 22.8 * 17.3 = 394.44. Then what you want to do is see how much 100 square gallons can cover the area : 4. If we make it 3 it is going under if it is 4 it can cover the whole thing, and if we make it 5 we have a little much.

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