Write an equation of a line that goes through the point (2,2) and has a y-intercept of 6

Answers

Answer 1

so the line goes through 2,2, and the y-intercept, well, a y-intercept is when the graph touches or "intercepts" the y-axis, and when that happens, x = 0, so the point is x = 0, y = 6, or 0,6, therefore

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ &&(~ 2 &,& 2~) &&(~ 0 &,& 6~) \end{array} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-2}{0-2}\implies \cfrac{4}{-2}\implies -2 \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-2(x-2) \\\\\\ y-2=-2x+4\implies y=-2x+6[/tex]

Related Questions

what should you do first to simplify the expression (43 + 9) ÷ 76 + 5

Answers

Hi there!

You should always find the value inside the parenthesis first when simplifying an equation.
Tell me if you need help solving the equation!

Hope this helps!

always find the value inside the parenthesis first when simplifying an equation.

expression (43 + 9) ÷ 76 + 5

43+9 =52 52 ÷ 76 + 5

Cora arrived at school at 7:55 am She left for 1 hour for a doctors appointment. She was dismissed from school at 3:15 pm. How long was Cora at school?

Answers

add 7:55 and 1:00 and subtract that from 3:15

prove that an isosceles trapezium is always cyclic

Answers

Since the opposite angles are supplementary, an isosceles trapezium is a cyclic quadrilateral. Thus, ABCD is a rectangle as each internal angle is 90°. 8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

i don't have time but to prove that an isosceles trapezium is always cyclic, you have to prove that if you add the opposite angles, you will get 180 degrees.

Hope this helps !

Photon

What is the solution of the equation (x – 5)2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

Answers

(x – 5)² + 3(x – 5) + 9 = 0

x² - 10x + 25 + 3x - 15 + 9 = 0

x² - 7x - 16 = 0

[tex]x = \frac{7 + \sqrt{(-7)^2-4(1)(-16)} }{2} [/tex] or [tex]x = \frac{7 - \sqrt{(-7)^2-4(1)(-16)} }{2} [/tex]

[tex] x = \frac{7 + 3i \sqrt{3} }{2} [/tex] or [tex] x = \frac{7 - 3i \sqrt{3} }{2} [/tex]

(Answer B)

Answer: [tex]x=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

Explanation:

Since, given quadratic function, [tex](x-5)^2 + 3(x-5) + 9 = 0[/tex] -----(1)

let us consider,[tex]x-5=p[/tex] -----(2)

Put this value in equation (1),

We get, [tex]p^2+3 p+9=0[/tex], which is also a quadratic equation.

Since, quadratic formula for finding the root of quadratic equation of type [tex]ax^2+bx+c=0[/tex] is, [tex]x=\frac{-b\pm\sqrt{b^2-4ac}} {2a}[/tex]

Here, a=1, b=3 and c=9, so, [tex]p=\frac{-3\pm\sqrt{3^2-4\times1 \times9}} {2\times1}[/tex]

Thus, [tex]p=\frac{-3\pm3\sqrt{-3}} {2}[/tex] ⇒ [tex]p=\frac{-3\pm3i\sqrt{3}} {2}[/tex] (because √-1=i)

Now, from equation(2) [tex]x-5=\frac{-3\pm3i\sqrt{3}} {2}[/tex]

⇒[tex]x=\frac{-3\pm3i\sqrt{3}} {2}+5=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

⇒[tex]x=\frac{7\pm 3i\sqrt{3}}{2}[/tex]

How much is in the account after year 6 ??

Answers

i think the answer is c
its actually 1155 but that the closest answer to it
hope it helps

The sin 215° is ____
●A positive value
●0
●A negative value

Answers

The sin 215° is ____

●A positive value

The sin 215 degrees is a positive value. (Soh Cah Toa - Sin Cos Tan)

Answer: A positive value

believe; live

At the end of the first round in a quiz show, Jeremy has at most negative 20 points. Write an inequality that means “at most negative 20.”

Answers

The inequality would be x < -20 points, where x represents his number of points. The words "at most "mean that he can have up to and including -20 points. If we read this inequality, it tells us that the number of points he has is less or equal to -20 which is the same thing as saying "at the most" -20 points.

Please help! 15 points!

Btw, you cannot answer in the file.....that's just a pic.....

Answers

You can find the value of x using the trigonometric function of cosine.

cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x
36.083 = x

Hope I am right :)

A rectangular note card has a perimeter of 18 inches and an area of 20 square inches. What are the dimensions of the note card?

Answers

5 by 4

4 x 5 = 20

5 + 5 + 4 + 4 = 18

The dimensions are 5 by 4,
hope I helped (:

Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.

Answers

The original cost of the skirt was $39.71.

This can be found by first calculating what the total cost of the items was originally. Since you spent $31.50 on items at 34% of their original price, the total cost can be found by dividing the new total by the percentage.

$31.50/.34 = $92.65.

Now we need to find the original price of the blouse. We repeat the same action with the $18 and the percentage.

$18/.34 = $52.94.

Now we can subtract the original cost of the blouse from the original cost of both items.

$92.65-$52.94 = $31.71.

Answer:

The original price of the skirt is $24

Step-by-step explanation:

The question must be 3/4 of their original price. So, I will solve this using 3/4 as 34 is unclear and does not suit the question.

Lets assume that the price of the blouse be = x

Lets say the price of the skirt is = y

Now, given is that 3/4 of the price together for both items is $31.5 0

This means,

[tex]\frac{3}{4}(x+y)=31.50[/tex] ..... (1)

The original price of the blouse is $18 so, x= 18 .............(2)

Putting x=18 in equation (1)

[tex]\frac{3}{4}(18+y)=31.50[/tex]

[tex]3(18+y)=31.50*4[/tex]

[tex]3y+54=126[/tex]

[tex]3y=72[/tex]

y=24

Hence, the original price of the skirt is = $24.

Check:

Original price of both items = [tex]18+24=42[/tex]

And 3/4 of 42 is [tex]\frac{3}{4}*42= 31.50[/tex]

So, the correct answer is $24.

7. Given the vertices of ∆ABC are A (2,-5), B (-4,6) and C (3,1), find the vertices following each of the transformations FROM THE ORIGINAL vertices: a. Rx = 3 b. T<3,-6> c. r(90◦, o)

Answers

Q1)
Rx = 3
in this reflection, the image has been reflected along the x = 3 line. then all the points on the image are reflected along this vertical line. the distance between each point and the vertical line is noted and by that same distance its moved to the opposite side of the vertical line, while the y coordinates stay the same.
A(2,-5)- x coordinate is 2, its 1 unit away from x=3, it should move by 1 unit to the other side of x = 3, then x = 4. y stays as it is.
A' - (4,-5)

B(-4,6) - distance from x = 3, is (-4-+3) is seven units, moves by 7 units to the other side
B' (10,6)

C(3,1) = distance from 3 = 0, therefore the point stays at is,
C' (3,1)

Q2)
next is a translation, in translation the size nor shape changes, each point in the original image moves the same distance in the same direction.
T (3,-6) (x,y) = this means that the x coordinates move by +3 points to the right and y coordinates move downwards by 6 units
A (2,-5) ---> (2+3,-5-6)
A' (5,-11)
B (-4,6) ---> (-4+3,6-6)
B' (-1,0)
C (3,1) ---> (3 + 3, 1-6)
C' (6,-5)

Q3)
r(90°,0)
this is a rotation done in the clockwise direction. then the image takes a rotation to the right direction around the origin.
then the x, y coordinates of the preimage become ;
(x,y) = (y,-x)
A(2,-5) --> A' = (-5,-2)
B(-4,6) ---> B' = (6,4)
C(3,1) ---> C' = (1,-3)

You need to have a password with 4 letters followed by 2 even digits between 0 and 9, inclusive. if the characters and digits cannot be used more than once, how many choices do you have for your password?

Answers

Final answer:

The total number of possible passwords, considering the conditions that no letters or digits can be reused, and only even digits 0-9 can be used, would be 7,893,600.

Explanation:

This is a question of combinations and permutations. Firstly, consider the four letters. There are 26 letters in the English alphabet. Since you have four letters and none of them can be the same, the number of possibilities is 26 * 25 * 24 * 23. Next, consider the two numbers. Since we can only choose even numbers between 0 and 9 (which gives us 5 possible selections), and they cannot be the same, the number of possibilities is 5 * 4. Therefore, to find the total number of possible passwords, you multiply the possibilities for letters and numbers together. So, the number of

possible passwords would be 26 * 25 * 24 * 23 * 5 * 4, which equals to 7,893,600.

Learn more about Combinations and Permutations here:

https://brainly.com/question/34452834

#SPJ12

It has 3 more vertices than a triangle

Answers

Well, a triangle has 3 vertices, and 3 + 3 would be 6 vertices. So it is a hexagon.

The answer would be a hexagon.

A vertice is simple a corner of a shape. A triangle has 3 corners, so it has three vertices. A hexagon has 6 corners, so it had 6 vertices!

Answers

Dilation and rotation

A street promotion worker gets paid $0.10 for each flyer he hands out. His goal is to make $15 an hour. How many flyers must he hand out each hour?

A. 45
B. 1500
C. 150
D. 15

Answers

C.150 is the answer. I hope this helps :)

Final answer:

The street promotion worker must hand out 150 flyers each hour to make $15.

Explanation:

To determine how many flyers the street promotion worker must hand out each hour to make $15, we need to use the equation:

Number of flyers × Payment per flyer = Total payment

Since the worker wants to make $15 an hour, the equation becomes:

Number of flyers × $0.10 = $15

To solve for the number of flyers, we divide both sides of the equation by $0.10:

Number of flyers = $15 ÷ $0.10

Number of flyers = 150

Therefore, the street promotion worker must hand out 150 flyers each hour to make $15.

Learn more about Calculating Number of Flyers here:

https://brainly.com/question/19910027

#SPJ2

Please help, what effect does doubling the radius of a cone's base have on the cone's volume? Thank you! :),

Answers

This it the formula for the volume of a cone: V = (π)(r^2)(h/3) r is the radius (measured from the center of the cone base to the edge of the base) h is the height of the cone from the center of the base to the top If the radius is doubled, the equation becomes: V = (π)((2r)^2)(h/3) This can be simplified to V = (π)(4r^2)(h/3), so the new volume will be 4 times the original volume.

Help? Will mark Brainliest! TYSM!

Answers

1 3 5 is the answer mark me if u want to please

#1, 3, 5 are your answers.

#2, 4, and 6 cancel out because they are not included with the bisect

Hope this helped!

helpppppppppppppppppppppppppp

Answers

Answer:
perimeter = 6 + 3√2 ft

Explanation:
The triangle given is an isosceles right-angled triangle.
This means that two of its legs are equal = 3 ft
Now, we will get the length of the third leg which is the hypotenuse using the Pythagorean theorem as follows:
(third leg)^2 = (3)^2 + (3)^2
(third leg)^2 = 18
third leg = sqrt(18) = 3√2 ft

Finally, we will get the perimeter as follows:
perimeter = 3 + 3 + 3√2
perimeter = 6 + 3√2 ft

Hope this helps :)

Daniel is planning to go camping, but he lost the pole that supports the middle point of the tent. A cross-section of the tent is shown below. The base of the tent measures 96 inches wide, and the length from the top point of the tent to the corners of the base is 102 inches.

Answers

96/2 = 48

102^2 = 10404

48^2 = 2304

10404 - 2304 = 8100

squareroot(8100) = 90

the pole needs to be 90 inches high

In 1992, only 275 people owned cellphones in Metropolis. Each year, cell phone use has continuously grown by 82%. How many cellphone users were there in 2000?

Answers

For this case we have the following equation of the potential type:
y = A (b) ^ t
Where,
y: number of people with cell phones
A: initial number of people with cell phones
b: growth rate
t: time
Substituting values:
y = 275 * (1.82) ^ t
For the year 2000 we have t = 8.
Substituting:
y = 275 * (1.82) ^ 8
y = 33105.77794
nearest whole integer:
y = 33105
Answer:
there were 33105 cellphone users in 2000

A rectangular deck
is 12 ft by 14 ft. When the length and width are increased by the same amount very becomes 280 squares ft. By how much were the dimensions increased ?

Answers

Both dimensions were increased by 127.

The other response seems more complex so probably ignore mine. I probably misinterpreted the question.

Original length: 14 ft. New length x + 14.
Original width: 12 ft. New width x + 12.

New area:

[tex] A = LW [/tex] or [tex] LW = A [/tex]

[tex] (x + 14)(x + 12) = 280 [/tex]

[tex] x^2 + 14x + 12x + 168 = 280 [/tex]

[tex] x^2 + 26x - 112 = 0 [/tex]

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{26^2 - 4(1)(-112)}}{2(1)} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{676 + 448}}{2} [/tex]

[tex] x = \dfrac{-26 \pm \sqrt{1124}}{2} [/tex]

[tex] x = \dfrac{-26 \pm 2\sqrt{281}}{2} [/tex]

[tex] x = -13 \pm \sqrt{281} [/tex]

[tex] x \approx -29.76 [/tex] or [tex] x \approx 3.76 [/tex]

We discard the negative answer.

Answer:

Exact:
[tex] (-13 + \sqrt{281})~ ft [/tex]

Approximate:
[tex] 3.76 ~ft [/tex]

Find the area of the triangle that has a base of 4.2 mm and a height of 1.5 mm.

Answers

6.3 is your answer
I hope this helps

6.3 is the final answer

Bc¯¯¯¯¯ is parallel to de¯¯¯¯¯. what is ab? enter your answer in the box.

Answers

this can help you to understand it

20 POINTS! What is the distance between the points (2, 3) and (5, -4)?

Answers

Use the distance formula.

The distance, d, between points [tex] (x_1, y_1) [/tex]
and [tex] (x_2, y_2) [/tex] is given by the distance formula below.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Now we can apply the formula to your points.

Let Point 1 be (2, 3) and Point 2 be (5, -4).

Then you have

[tex] x_1 = 2~~~~y_1 = 3~~~~x_2 = 5~~~~y_2 = -4 [/tex]

[tex] d = \sqrt{(5 - 2)^2 + (-4 - 3)^2} [/tex]

[tex] d = \sqrt{(3)^2 + (-7)^2} [/tex]

[tex] d = \sqrt{9 + 49} [/tex]

[tex] d = \sqrt{58} [/tex]

Answer: the distance is sqrt(58)

Jennifer recorded the temperature of water samples and the time it took 50g of salt to dissolve in the samples. Jennifer's data models a direct variation. Which table contains Jennifer's data?

Answers

the answer is c. it look like this
80°32
83°33.2
84°33.6
90°36

Answer:

The answer is C.

Step-by-step explanation:

I know that its c because i literatly just tried it and it said corect it was on USA. test prep

Is 11p-7q polynomial

Answers

Answer: Yes; this is polynomial.

Specifically, it is a "polynomial EXPRESSION" ; but not a "polynomial equation" ; because it is not an "equation.

There are more than one variables/variable expressions, so it is a polynomial.

The price of a 250 dollar coat increased 7% last year. The coat is now on sale for one half off. What is the sale price?

Answers

start: 250increase: 250(1 + 0.07), 250(1.07)sale: 0.5(250(1.07)

helppppppppppppppppppp

Answers

we have that
g(x)=(3^x)-2
f(x)=(3^x)

using a graph tool
see the attached figure

the answer is the option D
the graphic of G(x) is a translation of f(x) 2 units down

Ramon spends 2/5 of his monthly income on rent ,1/5 of his income on utilities and 3/4 of the amount remaining on food and recreation.He saves 193.50 a month,What is Ramon’s monthly income?

Answers

Let x = income
Then:
Rent: [tex] \frac{2}{5} x[/tex]
Utilities:  [tex] \frac{1}{5} x[/tex]
Food and Recreation:  [tex] \frac{3}{4}(x-( \frac{2}{5} x+\frac{1}{5} x))= \frac{3}{10} x[/tex]

Now adding all the expenses: [tex] \frac{2}{5} x+ \frac{1}{5} x+ \frac{3}{10} x= \frac{9}{10} x[/tex]
We see that the expenses are 90% of the income, so the savings must be 10% of the income.
[tex] \frac{1}{10} x=193.5[/tex]
x=1935.0 this is your income
Hope this helps...

Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the right

A. F(x) = -|x|+1
B. F(x) = -|x-1|
C. F(x) =|-x|+1
D. F(x) =|-x-1|

Answers

The answer to this is B

Answer:

B.[tex]F(x)=-\mid{x-1}\mid[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=\mid x\mid[/tex]

We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.

The transformation rule when the point (x,y) is reflected over x- axis is given by

[tex](x,y)\rightarrow (x,-y)[/tex]

Apply the reflection on function over x- axis then, we get

[tex]g(x)=-\mid x\mid[/tex]

Transformation rule when the point (x,y) is shifted a units towards right is given by

[tex](x,y)\rightarrow (x-a,y)[/tex]

When the graph is translated 1 units towards right then , obtained function is given by

[tex]F(x)=-\mid{x-1}\mid[/tex]

Other Questions

Which sequence of transformations creates a similar, but not congruent, triangle? ((will medal for correct answer))Dilation and rotationRotation and translationReflection and rotationTranslation and reflection, helppppppppppppppppppp Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2r (round r to tenths); then find area). Area = cm2 How many molecules does 0.773 moles of Ca(OH)2 contain? ABCDEFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in. 2.05 Quiz: Find Reliable Information PoolRead the passage. Practically every teen cares about the welfare of animals, but they may not know what they can do to make a difference. Which logical fallacy is represented? (A. loaded language (B. overgeneralization(C. circular reasoning (D. bandwagon appeal Starch is broken down into individual units of maltose in the presence of an enzyme known as amylase. Which statement best describes the role of amylase in this reaction? prove that an isosceles trapezium is always cyclic What is the difference between the absolute value of 8 and the absolute value of 6? 281416 ________ consists of the official and defined structures and systems related to decision making, communication, and control in the organization. Select two of the following regions: Asia, Africa, Muslim World/India, the Americas. Identify whether social, political, or economic interests were the main motivation for imperialist nations in each region you selected. Use at least two pieces of evidence (examples) to support your assertions for each region. What are the powers exercised by the state 10 points!!!!! for correct answerswhich of the following was not a human cause of increased tsunami destructionA. destruction of the coral reefs for shipping lanes and shrimp farmingB.elimination of coastal mangroves for housingC. elimination of coastal sand dunesD. non of the above Which absolute value function has a graph that is wider than the parent function when graphed represents the parent function f(x)=|x| reflected over the x-axis and translated 1 unit to the rightA. F(x) = -|x|+1B. F(x) = -|x-1|C. F(x) =|-x|+1D. F(x) =|-x-1| HELP FAST Read the excerpt from Crossing Brooklyn Ferry. The others that are to follow me, the ties between me and them, The certainty of others, the life, love, sight, hearing of others. Others will enter the gates of the ferry and cross from shore to shore, Others will watch the run of the flood-tide, Others will see the shipping of Manhattan north and west, and the heights of Brooklyn to the south and east, Which idea does Walt Whitman evoke by repeating Others will? Throughout history, people have taken rides on the same ferry as the narrator. Many of the narrators friends and family will enjoy riding the ferry as well. Many people will take the ferry and have an experience similar to the narrators. The experiences of the narrator on the ferry will not be felt by anyone else. The international criminal court main responsibility is too Rock begins to melt when temperature increases and decreases answer key If you purchase four 750 gram jars of table salt (NaCl) and dump them all onto 1,000 kg of snow, how much would the freezing point be lowered after all of the salt has dissolved? Earths crust continuously melts and solidifies in the upper mantle. Why does oceanic crust solidify faster than continental crust?A Continental crust spans a wider area and is generally thinner than oceanic crust.B Magma beneath oceanic crust is a lower temperature than magma beneath continental crust.C When magma comes into contact with ocean water it cools faster than when it reaches continental rock.D Salt in ocean water accelerates the solidification process by way of chemical reaction. The existence of coal beds in Antarctica indicates that the continent once had