write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"

Answers

Answer 1

Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17


Related Questions

Find the perimeter of the shape below:

Answers

Answer:

8m

Step-by-step explanation:

nin
1) What is the equation of the line that passes through the point (-2,1) and has a slope of
-5/2?

Answers

Answer:

y=(-5/2)x-4

Step-by-step explanation:

Step 1: Define the equation of a line.

Equation of a line is written in the form y=ax+b where a is the slope and b is the y-intercept.

Step 2: Write the given parameters

(x1,y1)=(-2,1)

m=-5/2

Using the formula y-y1=m(x-x1)

y-1=-5/2(x-(-2))

y-1=-5/2(x+2)

y-1=(-5x-10)/2

By cross multiplication,

2(y-1)=-5x-10

2y-2=-5x-10

2y=-5x-10+2

2y=-5x-8

y=(-5x-8)/2

y=(-5/2)x-4

Is 1 1/30 more or less then 1 1/2 gallons

Answers

Answer:

less

Step-by-step explanation:

1/30 is less than 1 1/2 gallons

Maria's monthly income is $1,250. She can afford to spend 25% of her income for rent. How much can she pay for rent each month?

Answers

Answer:

312.5

Step-by-step explanation: 25 percent of 1250 is 312.5(calculated)

to check your answer we multiply 312.5 by 4 as its (25%=1/4)

Help me with my math work please! Whoever helps gets 50 points! Thnx!

Answers

Answer:

6) y=-2

7) w=15

8) x=1

if the discriminant is negative how many solutions are there

Answers

Answer:

Two solutions.

Step-by-step explanation:

a cafe sells a regular cup of coffee for $1 and a large sup for $1.50. melissa and her friend buy 5 cups of coffee and spend a total of $6. find the number of large cups.

Answers

Answer:

65

Step-by-step explanation:

it is the largest cup so it is 65

!!!HELP!!!
1) Which transformation can be used to map ABCD onto EFGH and to confirm that the figures are congruent?
A) ABCD can be mapped to EFGH with a translation right 4 units and down 4 units.
B) ABCD can be mapped to EFGH with a translation left 4 units and down 4 units.
C) ABCD can be mapped to EFGH with a translation left 4 units and up 4 units.
D) ABCD can be mapped to EFGH with a translation right 4 units and up 4 units.


2) Which sequence of transformations will only produce a figure similar to but not congruent to the figure ABCD?
A) ABCD is translated 2 units to the right and then reflected across the x-axis.
B) ABCD is translated 4 units left, 2 units up, and then reflected across the y-axis.
C) ABCD is rotated 180° clockwise about the origin and the translated 3 units right.
D) ABCD is dilated by a scale factor 3 and then rotated 90° clockwise about the origin.

Answers

Answer:

itsb a

Step-by-step explanation:

sorry

PLSS HELP MEE WILL MARK BRAINLIEST
What would be the point in between the 700 and 800?

Answers

Answer:

750

Step-by-step explanation:

What is the difference (how far apart on a number line are the solutions) between the sum of roots versus the product of the roots of the equation:
(x-5)(x+2)=0?

answer should be a number only

Answers

Answer:

7

Step-by-step explanation:

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

x = 5 & -2

Now,

given

r > s

r = 5, s = -2

Now,

=> r - s

=> 5 - (-2)

=> 5 + 2

=> 7

Convert 30,000 ML into L

Answers

Answer:

30 liters

Step-by-step explanation:

To me it's kind of like multiplying and dividing.

So, what I did was 30,000 divided by 30 and got 1,000.

1,000 x 30 = 30,000.

That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)

i will give you brainliest or whatever it’s called just pls answer within 45 minutes !!

Answers

Answer:

x = y1 x x1/ y2 x2

Step-by-step explanation:

The bearing of point Y from point X is 065°.
The bearing of point Z from point Y is 145º.
The bearing of point Z from point X is 105º.
Find the bearing of point X from point Z.

Answers

Answer:

285°

Step-by-step explanation:

You have probably learned bearing in geography and maybe even mathematics.

First off, skip the Y part since the answer you're looking for have nothing to do with it.

So, 180°+105°=285°

Those red-colored angles.. they have the same angle.

That's cause they're alternate angles and alternate angle are equal.

That arrow-like thing is to proove that they're parallel.

Question is in picture please help will mark brainliest

Answers

Answer:

4+2(n-1)+5(n-1)

Step-by-step explanation:

We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).

That will result in

4+2(n-1)+5(n-1)

Please give brainliest! Thank you!

Simplify 30 ÷3 of [37-{30÷(13-20+12)}-26]

Answers

Explanation:

30 ÷3 of [37-{30÷(13-20+12)}-26]

= 30÷3 × [37-{30÷(25-20)}-26]

= 30÷3 × [ 37-{30÷(5)}-26]

= 30÷ 3 × [37-{30÷5}-26]

= 30÷3 × [ 37 - {6}-26]

= 30÷3 × [ 37-6 - 26]

= 30÷3 × [ 37 - 32]

= 30÷3 × [5]

= 30÷3 ×5

= 30÷15

= 2Ans.

also read similar questions: Simplify. - 2x - } – 5x + i + x - х - 17/3 - 3 + 10 х Enter your answer in the b…

https://brainly.com/question/25291595

Evaluate. {3+ [-5 (2 – 4) : 2]} •3

https://brainly.com/question/25291236

Answer:

[tex] \rm \: Given,30 ÷3 \: of \: [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: The \: operation \: 'of'[/tex]

[tex] \rm \: The \: expressions \: like \: twice \: of,one \: fifth \: of, eight \: percent \: of,the \: meaning \: 'of' \: is \: multiplication \: with.[/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13-20+12)}-26][/tex]

[tex] \rm \: 30 ÷3 \times [37-{30÷(13 + 12 - 20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(25-20)}-26][/tex]

[tex] \rm30 ÷3 \times [37-{30÷(5)}-26][/tex]

[tex] \rm \: 30 ÷3 [37-{30÷5}-26][/tex]

[tex]30 ÷3 [37-{6}-26][/tex]

[tex] \rm \: 30 \div 3\times [31 - 26][/tex]

[tex] \rm30 \div 3 \times 5[/tex]

[tex] \rm \: 10 \times 5[/tex]

[tex] \rm \: 50[/tex]

2x + 16 = 22x

Variables on both sides

Answers

answer: Subtract sixteen from both sides of the equation

2 +16 -16=22x -16

x = 4/5

A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?

Answers

Divide distance by time:

3.2 meters / 5 minutes = 0.64

The descent was -0.64 meters per minute

Answer:

.64

Step-by-step explanation:

Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.

It would look like 3.2/5

The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.

The Hayes family and the Cook family each used their sprinklers last summer. The water output rate for the Hayes family's sprinkler was 30L per hour. The water output rate for the Cook family's sprinkler was 20L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total water output of 1450L. How long was each sprinkler used?

Answers

Answer:

30 hours of use by Washington family

35 hours of use by Choi family

Step-by-step explanation:

The x and y axis are negative what's the quadrant or axis

Answers

Answer:

Need more information

If you want put a graph or explain more your question

Help help help math math

Answers

Answer:

   

Step-by-step explanation:

Answer:

volume of sphere is 4000cubic ft..... when

[tex]\pi = 3 \: and \: r = \frac{1}{2} d[/tex]

if it's 11:24 what time will it be in 49 minutes

Answers

Hi,

if it's 11:24, it wil be 12:13

✅(◠‿◕)

Someone please help me solve the problem

Answers

The ration is square to circle
Answer is  3:pi

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

Explanation:

Check out the diagram below.

We have the following points

A = center of both the circle and the squareB = point on the circle directly to the left of point AP,Q,R,S = corner points of the squareE = intersection of segments AB and PSF = point on the square directly to the right of point AC and D = intersection of segment PS and the circle

Let x be the length of segments DE and EC. Note how segment AB bisects segment DC. Whenever the radius is perpendicular to the chord like this, the radius will bisect the chord.

We're told that the chord length CD is the same as the radius AD, since CD = CE+ED = x+x = 2x, this means AD = 2x as well.

At this point, you probably can recognize we have a 30-60-90 triangle. One useful property of such triangles is that the hypotenuse is double the length of the short leg. The long leg is [tex]x\sqrt{3}[/tex] which is the length of segment EA. You can use the pythagorean theorem to confirm this.

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

To summarize that last section, we formed triangle DAE and this triangle is a 30-60-90 triangle as shown in the diagram below.

Notice how the segments EA and FA span the entire width of the square. That width being [tex]EA+FA = x\sqrt{3}+x\sqrt{3} = 2x\sqrt{3} = EF[/tex]

The square has side lengths of [tex]2x\sqrt{3}[/tex] while the circle has radius 2x.

Use these two facts to find the area of each in terms of x.

[tex]A_1 = \text{area of square} = (\text{side})^2 = (2x\sqrt{3})^2 = 12x^2[/tex]

[tex]A_2 = \text{area of circle} = \pi*r^2 = \pi*(2x)^2 = 4\pi x^2[/tex]

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

The last step is to divide the two results. The x^2 terms cancel out.

We'll be left with...

[tex]\frac{A_1}{A_2} = \frac{12x^2}{4\pi x^2} = \frac{12}{4\pi} = \frac{3}{\pi} \approx 0.9549[/tex]

There are many ways to express this ratio. One way we could write it is to say 3:pi to indicate that if the area of the square is 3, then the circle has area of pi (approximately 3.14). No matter what the square's area is, the circle is always slightly larger in area.

basic help :(
its math

Answers

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Answer:

the slope or rate of change is 8 over 6 or 4 over 3 4/3

Step-by-step explanation:

A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?

Answers

1cm = 25km

3.2cm = 3.2(25) km

(Whatever you multiply on the left, you multiply on the right)

3.2 x 25 = 80km

HELP!!!

‐9z = ‐207

Please solve this with math explanations and NOT just the answer! Whoever explains first will get brainly!

Answers

Answer:

23

Step-by-step explanation:

this is because

the equation is saying -9time something = -207

so

you would -207 divided by -9

which gives you 23

so

z=23

Why does it take 30 years to pay $150.000 lan, even though you pay $100 a month

Answers

Answer:

because you have to multiply the 100x12= 1200 than multiply that by another 1200

Step-by-step explanation:

Area codes are the first three digits of a 10-digit telephone number. The first digit of an area code cannot be 0 or 1.

a. How many area codes can be created if digits are allowed to be repeated?

b. How many area codes can be created if digits are not allowed to be repeated?

Answers

Answer:A

Step-by-step explanation:because the numbers can be allowed to be repeated

Need help this please!

Answers

Answer:

My earlier answer was deleted, so I'm reposting.  The only thing I can think happened is that I included a link to a free bar chart program, which I used for the attached chart.

Step-by-step explanation:

Make your own chart or find an online bar chart utility.  I was unable to properly label the title and axes on my chart, so modify these properties.

2) If it is 12° outside and the temperature is going to -7° drop 19º. What will the new temperature be? ​

Answers

Answer:

69 degrees

Step-by-step explanation:

yeah

Help me with answer plzzzzz

Answers

Answer:

a

Step-by-step explanation:

Other Questions
What is a feeling of pride and loyalty to ones country called? *A.PluralismB.Self-respectC.NationalismD.Cultural-identity Mapping diagram: Is it a function? (yes /no) Why or why not? the bradford assay only works at low protein concentrations Research indicates that animals have the same capacity for language as humans. Please select the best answer from the choices provided T F. The repetition and equating of words in line 11 ("one is both and both are one") serve to reinforce the idea that)love dissolves the distinctions between individual lovers(lovers should pursue the same goals in lifeloss of personal identity is a danger for loversDlove is disorienting if it is not understoodElove must be mutual to be truly satisfying Define what are abiotic factors d. What do you like to do in the rain? I need help solving for Y find the number of outcomes when n = 6 and r = 3. n! (nr)!r! how a teens lifestyle may contribute to the development and progression of hiv? Which line is the STEEPEST?A) y =1/3x-1B) y = 8x 1C) y = 4x 1D) y = 2x 1 what is the oxygen cycle ? Find the values of x and y Pls help i'll mark brainleist if correct *fill in the blank with the matching terms Please help me!!! ASAP! hi hi hihihihihivvv hihihihihihi v vhi The pair of points (5, 6) and (10, y) lie on a line with slope 4/5 . What is the value of y? James is 5 ft. tall and casts a 6.5 ft. shadow. At the same time, a palm tree casts a 26 ft. shadow. How tall is the palm tree? In Farewell Address, the author believes that religion and morality are essential to good governance. Which quote from the text most strongly reflects that belief? an expression that is equivalent to 10x - 8 +0.5(2x - 3)?-