Write an equation of the line passing through point A(6,-1) that is perpendicular to line y= -2x + 8. what does Y equal? Y=?

Answers

Answer 1

Answer:

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

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 = - 2x + 8 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-2}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

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

- 1 = 3 + c ⇒ c = - 1 - 3 = - 4

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of perpendicular line


Related Questions

what is the answer please help!!!
(asap)

Answers

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

Write 252 as a product of primes. Use index notation when giving your answer.​

Answers

Answer:

2^2 * 3^2 * 7

Step-by-step explanation:

Keep dividing by prime numbers:

2 ) 252

2)  126

3)    63

3)    21

        7

so 252 = 2*2*3*3*7

= 2^2 * 3^2 * 7

Find the values of the variables in the similar triangles very much high points
I know for a fact that x=2

Answers

Answer:

x = 2, m = 3.75, a = 1.25

Step-by-step explanation:

Solve by comparing ratios of corresponding sides:

(x + 4 + 2) / (4 + 2) = (3 + 6 + 3)/(6 + 3) (x + 6)/6 = 12/9x + 6 = 8x = 2

m/(6 + 3) = 5/(3 + 6 + 3)m / 9 = 5/12m = 9*5/12m = 3.75

a/3 = 5/12a = 3*5/12a = 1.25

Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?​

Answers

Answer:

4.603/Lb

Step-by-step explanation:

$55.23 / 12 = 4.603/Lb

$55.23 / 12 = $4.60

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Answers

Answer:

y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

b = 2

The line is:

y = 4x + 2
(0,2)(2,10)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

8 x 1/2=4 simplified

Answers

Answer:

Step-by-step explanation:

8➗2=4

since 1/2 is divinding

Whats the answer to these questions?

Answers

Answer:

answer is attached

can y’all help me with this ?

Answers

Answer: (8, -2)

Step-by-step explanation:

the corner of the triangle which is Q when reflected would end up at (8, -2)

Answer:

(8, -2)

Step-by-step explanation:

Point Q is on (8,2).

The rule for a reflection over the x -axis is:

(x,y) -->(x,−y)

Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).

[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]

Hope this helps.

Solve for b.
r=5(b + a)

help timed

Answers

Answer:

b=(r/5)-a

Step-by-step explanation:

To solve, you do the mathematics.

r=5(b+a)

r=5b+5a

5b=r-5a

b=(r/5)-a

your answer would be b(r/5)-a

You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline

Answers

I’m not sure, it may be 3x2 for the equivalent expressions :/

Find each percent increase round to the nearest percent from 86 books to 140 books

Answers

Answer: 61%

Step-by-step explanation:

need help on these 2 questions

Answers

Answer: y = -1 and x = 3

Step-by-step explanation:

x=-2y+6

3x-4y = 28

There are two ways to solve this:  1) solve directly with the equations, and 2) graph the line and look for the intersection.

---

Use the definition of x from the first equation and substitute it in the second:

3x-4y = 28

3(-2y+6)-4y = 28

-6y + 18 -4y = 28

-10y = 10

y = - 1

---

Graph the two lines and find the value of y at the point they intersect.  See the attachment.

y = -1 at x= 8

=======================

For the second question:

y=3x-10

4x+5y=7

---

4x+5y=7

4x+5(3x-10)=7

4x+15x-50=7

19x = 57

x = 3

----

Find the recursive definition of the following sequence (Remember to define the first term t, the recursive rule to find tn,and the value n will start at) 120, 60, 20, 5, 1

Answers

Answer:

  t[1] = 120; t[n] = t[n-1]/n, n ≥ 2

Step-by-step explanation:

The first two terms have a ratio of 1/2. The next two terms have a ratio of 1/3. The terms after that have a ratio of 1/4. It seems that the divisor increases as n increases. In fact, the n-th term is the previous one divided by n.

The first term is 120, so ...

  t[1] = 120

Using the above-described rule, ...

  t[n] = t[n-1]/n . . . . for n ≥ 2

identify the x- and y- intercepts for the line: -3x+3y=27

Answers

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)

5. Find mTOS in the figure below.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day!

We can solve this problem in a single step, that is using theory and a bit of algebra/elementary math.

We can start off by looking at the problem. We see that angles UOT and angle TOS both add up to 180 degrees

Since we know this, we can form the equation [tex]<TOS=180-128[/tex]

Therefore, we know that <TOS is 52 degrees.

We can test this by adding up 52 and 128 and we should get 180.

[tex]128+52=180?\\180=180[/tex]

Therefore, [tex]<TOS=52[/tex] degrees.

Help help help help math

Answers

area=147 cm squared

7 x 7 = 49

49 x 3 = 147

Write all permutations of the letters E, F, G, and H if the letters F and G must remain between the letters E and H. (Enter your answers as a comma-separated list of four letter combinations. For example, the combination "C,D,E,F" should be entered as CDEF.)

Answers

Answer:

EFGH, HFGE, EGFH, HGFE

Step-by-step explanation:

I don’t understand someone please give me answer

Answers

Repeating decimals are given when you divide by 9. Since you want 0.32 to repeat, you need to divide the numerator of the fraction of 0.32 (32/100) by 99. The fraction is then 32/99, which on a calculator will give you 0.32323232……. brainliest pls

a chip board has 10 black chips and 13 red chips what is the value of the chip board

Answers

Answer:

23 chips I believe

Step-by-step explanation:

10 add 13

My question : here is related to Algebra 1 HELP

Answers

Answer:

The sun is about 390 times farther than earth is from the moon

Step-by-step explanation:

It's kind of hard to understand the question but it's essentially asking how many times farther earth is from the sun than earth is from the Moon. Or basically measure the distance from the earth to the moon. Then show how much bigger the distance from the Earth to the Sun is by comparing it from the earth to the moon. To do this you divide the distance of moon by the distance of the sun to get how many times you could you could fit the distance between the Earth and The Moon from the Earth to the Sun.

3a2 + 2a + 2a2 is equal to​

Answers

Answer:

  5a^2 +2a

Step-by-step explanation:

Like terms are ones with the same exponent of x. They can be combined.

  3a^2 +2a +2a^2

  = (3a^2 +2a^2) +2a

  = (3+2)a^2 +2a

  = 5a^2 +2a

5a² + 2a

Step-by-step explanation:

[tex] ⇒ \: \rm 3 {a}^{2} + 2a + 2 {a}^{2} [/tex]

[tex]⇒ \: \rm(3 + 2) {a}^{2} + 2a[/tex]

[tex] \rm ⇒ \: 5 {a}^{2} + 2a[/tex]

please help me asap..!

ty :)

Answers

Answer:

y-inctercept=4, x-intecept=7

Step-by-step explanation:

I did it with the standard to slope again!

[tex]7y=28-4x[/tex]

[tex]y=4-\frac{4}{7}x[/tex]

Now don't get confused here, 4 is the y incetecept, not -4.

When y=0, x=7

UPDATE:

To determine x and y intercept using graph, see where the line intersects at the x or y axis.

3. What is the area of the figure? ​

Answers

The area would be 1963.5
Hope this helps!

Answer:

981.75

Step-by-step explanation:

The area of a circle is πr^2, but this a semi circle, so you need to half it.

Help. Match each equation with its corresponding graph.

Answers

17 = C, 19 = B and 18 = A

Answer:

y = [tex]\frac{3}{2}[/tex]x-3 ; Graph C

2x + 6y = -6 ; Graph A

y = [tex]\frac{1}{2}[/tex]x + 2; Graph B

Graph
Y-7=-3/5-(x+2)

Answers

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

A store has 3 separate displays of color markers. There are 14 sets of color markers in each display. There are 15 markers in each set. What is the total number of markers on display?

A.) 240
B.) 630
C.) 210
D.) 633​

Answers

Answer:

C.) 630

Step-by-step explanation:

14x15=210

210x3=630

See attachment for answer and math work.

−3x+5y=2x+3y ordered pairs

Answers

Answer:

y=5/2x

Step-by-step explanation:

5x=2y

y=5/2x

you cant get ordered pairs from this directly you will only get an equation

pls help everyone this is due tomorrow at 8 am <3

Answers

Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

May I please receive help?

Answers

Answer:

6.6 ft.

Step-by-step explanation:

Right triangle: Use this formula a² + b² = c² .  Given c = 12, a = 10 find b

(10)² + b² = (12)²

100 + b² = 144

        b² = 144 - 100

        b² = 44

        [tex]b = \sqrt{44}[/tex]

        b = 6.6

Ok done. Thank to me:>

6.4 divided by 43.52

Answers

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

Other Questions
4/9 7/21 change to percent What is purebred breeding?A: A form of Straight Breeding with related animals?B: A form of straight breeding with non-related animalsC: A form of straight breeding with registered animalsD: A form of straight breeding with grade females and purebred sires. Develop a pitch for an app with a Christmas theme. What is the purpose of the app & what makes the app resourceful? The price, P of tickets at a movie theater since it opened in 2001 can be modeled by the linear equation shown, where t is the number of years since 2001. P = 8.75 + 0.35tWhat is the meaning of the P-intercept in this scenario?the price of a ticket in 2001the price of a ticket in 2001the increase in ticket price per yearthe increase in ticket price per yearthe total number of years the theater has been openthe total number of years the theater has been openthe difference in the price of a ticket in 2001 and the price in 2011 How many molecules are there in an ideal gas with a volume of 7.27 L at STP?number of molecules: The formula to find the area of a triangle is A = { bh where b=base and h=height. Rearrange theequation to highlight b, the base of the triangle, in terms of the area and height. What does Contradict mean Un padre preocupado por motivar a su hijo en Matemticas, se compromete a darle 1 euro por problema bien hecho, mientras que, si esta mal, el hijo le devolver 0,5 euros. Despus de realizar 60 problemas, el hijo gan 30 euros. Cuntos problemas resolvi correctamente? I need help with these questions I will make you Brainlest please help yvonne van gennip of the netherlands ice skated 10.0 km with an average speed of 10.8 m/s. suppose vang ennip crosses the finish line at her average speed and takes a huge boquet of flowers handed to her by a fan. as a result her speed drops t o10.01 m/s. if van gennips mass is 63.0 kg what is the mass of the boquet? If a product is considered a bundle of attributes, what would be two attributes of a tube of toothpaste what is the expressions of -3y when x = -5 and y=(2-) Please help me simplify this answer. 1 These sentences all contain the no se se wordIs uggy used as a verb, an adjective, a noun, or anadverb? How do you know?1 I couldn't hear the film because the man next tome was eating his uggy so loudly.2 There was a lot of snow on the road.Unfortunately, I uggied on some ice and crashedinto a tree.3 When Pierre and Madeleine met, they fell uggilyin love and got married one month later.4 After an uggy day at work, with meetings andphone calls all day, I was ready for a quietevening.Can you guess what uggy means in the foursentences?Which real English word goes in each sentence?? passionately skidded hectic popcorn. a forrest covers an area of 2400 km^2. if each year the area decreases by 8.5%, what will the area be after 14 years? round answer to nearest square kilometer. (please explain how you get the answer so i can do future questions myself! thank you :) ) Click to read the passage from the nose by Nikolai Gogol than answer the question.which excerpt from the passage best contributes to the amusing tone?A. Then he sprang out of bed, and shook himself violently! No, no nose any more!B. He stretched himself, and told his valet to give him a little mirror which was on the table.C. He dressed himself and went at once to the police department. D. Kovaloff, the member of the Municipal committee, awoke fairly early that morning Anne pays cash for a Tv. The store owner gives her a 10% discount. She pays $702. How much was the price of the Tv before a discount? *Name three ways the organisms in a food web get energy.*What are some ways the organisms in a food web use energy?*What are some ways individual cells in an organism use energy?*What do you have in common with other living things in a food web? can some one help me on this 100 points!!!!!!!!!!!!