Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
a. y=
b. y=

Write An Equation Of The Line That Passes Through The Given Point And Is (a) Parallel And (b) Perpendicular

Answers

Answer 1

Answer:

(a). y = - 4x + 19 ; (b). y = [tex]\frac{1}{4}[/tex] x + 2  

Step-by-step explanation:

Slope "m" of given line is

m = - 4

Slope of parallel line is ( - 4) and perpendicular line is [tex]\frac{1}{4}[/tex]

P(4, 3)

y - [tex]y_{P}[/tex] = m( x - [tex]x_{P}[/tex] )

(a). y - 3 = - 4 (x - 4)

y = - 4x + 19

(b). y - 3 = [tex]\frac{1}{4}[/tex] ( x - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2


Related Questions

F(6) if f(x) = 4x
a 10
b. 24
c. 20
d: 30

Answers

Answer:

b. 24

Step-by-step explanation:

Hope this is right!

What is the solution to the equation ? (x - 2) ^ (1/2) + 4 = x

Answers

Answer:

x is equal to both 3 and 6.

Step-by-step explanation:

[tex]\sqrt{x - 2} + 4 = x\\\sqrt{x - 2} = x - 4\\x - 2 = (x - 4)^2\\x - 2 = x^2 - 8x + 16\\x^2 - 9x + 18 = 0\\(x - 3)(x - 6) = 0\\[/tex]

So x values of 3 and 6 will make this statement true.

if x =20 and y =40 then x and y are

Answers

Answer:

Are directly proportional

If the measures of 2 angles of a triangle are 35 degree and 80 degree then find the measure of its third angle
Plz help I am marking branliest and I can follow you if you give correct answer :D

Answers

Step-by-step explanation:

the 3rd angle = 180 - ( 35+80 ) = 65

Answer:

65

Step-by-step explanation:

let the third angle be y

y+35+80=180

y+115=180

y=180-115

y=65

Evaluate the expression for j = 0 and k = 11.
jk =

Answers

Jk=just kidding okay

What is the slope and y intercept of this diagram

Answers

The Answer is 1/5 and 5

slope: 1/5 y-intercept: 5

WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

What is the range of h

Answers

Answer:

The range of the function is the set of all possible outputs, that is, the set of all values obtained by applying the function to elements of the domain. So the set of all values which can be obtained by applying h(x) to an element of its domain is {−4,0,5,60} , and thus that is the range of h(x)

Step-by-step explanation:

GOOD LUCK

For this problem we will use the complex numbers 3 - 6i and 9 + i
What is the conjugate of each complex number?



What is the sum of the complex numbers? Show all work.



What is the sum of the conjugates of the complex numbers? Show all work.

Answers

Conjugate is just changing the sign on the imaginary number, so the conjugates here are 3+6i and 9-i

The sum of the original complex numbers is (3-6i)+(9+i)=12-5i

The sum of the conjugates is (3+6i)+(9-i)=12+5i

please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.

Answers

0.4286 is not rounded to hundredth rounded is 0.44

I think the answer is 0.43

factor completely, I NEED HELP


4x^3 + 7x^2 +4x + 7

Answers

(4x+7) (x^2+1) is it factored

The common factor is x ^ 3

So that gives you x ^ 3 = (4+ 7  / x + 4 / x ^ 2 + 7 / x ^ 3)

Because we therefore simplify x ^ 3 = (4 + (7x ^ 2 / x ^ 3) + (4x / x ^ 3) + 7 / x ^ 3)

help plz very very confused

Answers

Answer:

x=-2

Step-by-step explanation:

PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.

Use this understanding to complete each of the equations below.
CLEAR CHECK

Answers

Answer:

-5 - (-7) = -5 + -7

= 2

-5 - 7 = -5 + -7

= -12

Which of the following is not a solution of the equation y=3x-4?
A. 2,2
B. 0,-4
C. 4,8
D. -1,-1

Answers

Plug in the numbers
2 = 3(2) - 4, true
-4 = 3(0) - 4, true
8 = 3(4) - 4, true
-1 = 3(-1) - 4, false

Solution: D

A bowling alley charges a one-time fee of $5.50 to rent shoes and $3.50 per game. Write an equation that represents "y", the total dollar amount that you must pay to bowl "x" games.
Please help this is due today, I would appreciate it if you did help!

Answers

Answer: 14$

Step-by-step explanation:

let x = number of games, let y = cost of shoe rental

then        Total cost = x•$4 + y

In this case, TC = 3•$4 + $2

TC = $14

Ehehejejrjrjejejrjrjtjtjrjrje

Answers

Answer:

?

Step-by-step explanation:

shvwhehdjdjdnbddvbxnxjjxjdjdnbdnekskdjdjnebeeekekkenenennenemskkddkejennene hope this helps :3

Barney has a swimming pool in his backyard. Calculate the volume of the swimming pool. Round your answer to the nearest whole number.
cubic feet

Answers

Answer: 1593 us gallons

Step-by-step explanation: HOPE THIS HELPS!!

Which equation has a slope of 2 and y-intercept of -3

Answers

y = 2x -3

fhfjdydtsfxbnpurwsgh

14. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(B|A) =
a. 0.80. b. 0.50. c. 0.10 d. 0.40. e. none of the above.
15. If P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) =
a. 0.7. %3D %3D b. 0.9 c. 1.1. d. 0.2. e. none of the above.

Answers

Answer:

14) b)  P(B/A) = 0.50

15) P(A or B) = 0.7

Step-by-step explanation:

14)

Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2

Conditional probability of B given that A

[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]

15)

By using Addition theorem on probability

P( A ∪ B) = P(A) + P(B) - P(A∩B)

               = 0.4 +0.5 - 0.2

P( A ∪ B) =0.7

rewrite using a single positive exponent 5^6/5^4

Answers

Answer:

Step-by-step explanation:

We can divide exponents by subtract 4 from 6. So, now we have 5^2 or 25.

The other way to solve to check our answer is to do the math.

5^6 = 15625

5^4 = 625

15625/625 = 25

So, we know we have the correct answer.

Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )

Answers

20% = 1/5

0.35 = 35/100 but simplified is 7/20

I hope this helps, and Happy Holidays! :)

Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much each customer paid.
After the previous four customers, another customer, Timothy, spent $28.00 buying apples.
We can determine that Timothy bought ------------
of apples.
A: 11
B: 12
C: 14
D: 16

Answers

Answer is C: 14

Explanation:
On the image added, the pounds of apples is half the cost. So if you would keep that same relationship and add $28.00 to one of the costs the outcome would be 14

monkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonkemonke

Answers

Answer:

monke

Step-by-step explanation:

delicious

Ryan's dog weighs 50 pounds, and Mark's dog weighs p pounds. Which expression shows their combined weight? A. 50 × p B. 50 + p C. 50 ÷ p D. 50 - p

Answers

Answer:

B, 50 + p.

Step-by-step explanation:

To combine their weight, you would add them together. B is the only answer that uses addition.

Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339.
z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction

If the sample mean is $31,650, what is the z-score? Answers are rounded to the hundredths place.

Answers

Answer: The z-score = 2.46

Step-by-step explanation:

Given:  sample size : n= 10

Population mean : [tex]\mu= 29056[/tex]

population standard deviation : [tex]\sigma= 3339[/tex]

Sample mean : [tex]\overline{x} = 31650[/tex]

Formula to calculate z :

[tex]z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

Substitute all values, we get

[tex]z=\dfrac{31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766}}\\\\=\dfrac{2594}{3339}\times3.16227766\approx2.46[/tex]

Hence, the z-score = 2.46

HELP PLS!!
Provide the length of x

Answers

Answer:

10

Step-by-step explanation:

the mid-segment, 5, is parallel to the base of the triangle and the side that the mid-segment is parallel to is always double the length of the mid-segment, so the base of the base is 10. this triangle is an equilateral triangle so the side, x, is also 10.

Please answer A and B!!!

Answers

Answer:

7 and 2

Step-by-step explanation:

i did this before i know

3. Tarzan went to the plant nursery and bought a tree that was initially 90 feet tall for his monkey friends to climb on.
After planting the tree, Tarzan made a table to record the height, h, of the tree, t years after it was planted. “Zero” is the time when he planted the tree.
t 0 1 2 3 4
h 90 105 120 135 150


(a) Use words to describe the relationship between the height of the tree and the number of years since it was planted.


(b) Write a two-variable equation to illustrate the relationship between the height of the tree and the number of years since it has been planted.

Answers

Answer:

ok im convuzed how do you buy a 90ft tree cuz that sounds fun

Step-by-step explanation:

pls lemme know

Which inequalities have no solution? Check all of the boxes that apply.
-3x <-3x
-4 + x>-2 + x
O X-2

Answers

Answer:

-3x<-3x and -4+x>-2+x are both false

Step-by-step explanation:

1) -3x = -3x; they are the same amount.

2) -4 + x > -2 + x

          -x          -x

    ----------------------

           -4 > -2

-4 > -2 is false because -2 > -4.

5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST

Answers

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

System of Linear Equations entered :

[1] 5x + 10y = 5
[2] -13x + 4y=17


Solve by Substitution :

// Solve equation [2] for the variable y


[2] 4y = 13x + 17

[2] y = 13x/4 + 17/4
// Plug this in for variable y in equation [1]

[1] 5x + 10•(13x/4+17/4) = 5
[1] 75x/2 = -75/2
[1] 75x = -75
// Solve equation [1] for the variable x


[1] 75x = - 75

[1] x = - 1
// By now we know this much :

x = -1
y = 13x/4+17/4
// Use the x value to solve for y

y = (13/4)(-1)+17/4 = 1
Solution :
{x,y} = {-1,1}
Other Questions
In what region did people first form civilizations What is the value of X?A: 15B: 27C: 45D: 12 Guys please help me with this?! DEVELOP A 3 STANZA 4 LINE WITH THE RHYME SCHEMEPOEM A,B,A,BTHEME: LOVE Using a combination of simple and compound sentences to create variety in your writing, describe three elements from the selection that make it an adventure story. Support your answer with evidence from the story. ROGUE WAVES please help im rlly stuck NEED AWNSER NOW! WILL MARK BRAINLY! Which term is defined as the ratio of the speed of light in a vacuum to the speed of light in the material it is passing through? index of reflection index of refraction angle of reflection angle of incidence Please help!! Question is in the picture 6th grade math i mark as brainliest WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FASTEST! What is most likely to push the price of a company's stock higher?an increase in demand for the stocks of similar companiesan increase in tariffs paid by the company's competitorsan increase in demand for the company's stockan increase in the exchange rate for the U.S. dollar Can someone tell me how to fix the keyboard on ipad?- its in the middle of my screen andd i dont know how to do it which industry was most affected by the dust bowl Read the passage.There was something about the coast town of Dunnet which made it seem more attractive than other maritime villages of eastern Maine.Perhaps it was the simple fact of acquaintance with that neighborhood which made it so attaching, and gave such interest to the rocky shore anddark woods, and the few houses which seemed to be securely wedged and tree-nailed in among the ledges by the Landing. These houses made themost of their seaward view, and there was a gayety and determined floweriness in their bits of garden ground; the small-paned high windows in thepeaks of their steep gables were like knowing eyes that watched the harbor and the far sea-line beyond, or looked northward all along the shoreand its background of spruces and balsam firs. When one really knows a village like this and its surroundings, it is like becoming acquainted with asingle person. The process of falling in love at first sight is as final as it is swift In such a case, but the growth of true friendship may be a lifelongaffair.After a first brief visit made two or three summers before in the course of a yachting cruise, a lover of Dunnet Landing returned to find theunchanged shores of the pointed firs, the same quaintness of the village with its elaborate conventionalities; all that mixture of remoteness, andchildish certainty of being the centre of civilization of which her affectionate dreams had told. One evening In June, a single passenger landed uponthe steamboat wharf. The tide was high, there was a fine crowd of spectators, and the younger portion of the company followed her with subduedexcitement up the narrow street of the salt-alred, white-clapboarded little town.(from The Country of the Pointed Firs by Sarah Orne Jewett)What does the description of Dunnet show the reader?1. how life in Maine has changed since the early 1900s2. why many people fell in love In Maine in the early 1900s3. how difficult it was to live in Maine in the early 1900sO 4. why people felt drawn to fishing communities in Maine in the early 1900s 11. If you(study) hard, you(be) a good student12.If it(rain), you(get) wet13.If you(mix) red and yellow, you(get) orange.14.If he(work) a lot, he(earn) a lot of money,15.If she(wear) a blue dress, she(look) great. Which is the correct way of dual dimensioning using the position method A person pushing a bin with 45 N of force slides the 3 kg plastic bin on a rough surface with friction. The plastic bin is moving with a constant velocity. What is the net force acting on the box? HELP ASAP FOR BRAINLIEST Consider the three theories of the upward slope of the short-run aggregate-supply curve. According to the sticky-wage theory, the economy is in a recession because the price level has declined so that real wages are too . True or False: According to the sticky-price theory, the economy is in a recession because people expect prices to rise quickly in a recession. True False According to the misperceptions theory, the economy is in a recession when the price level is what was expected. french. need help. dont understand