what is the slope of a line perpendicular to the line whose equation is x-3y=-27

Answers

Answer 1
Answer: Slope perpendicular= -3

x-3y=-27
-x -x
-3y=-x-27
divide by -3
y=(1/3)x+9

Slope perpendicular= -3

Related Questions

What would I say pls help me

Answers

Well what was the lesson about?

Answer:

Hi, today we learned about (the lesson you choose)  and the teacher told me to tell you what to do so you need to do your work or you will get in trouble

Step-by-step explanation:

The entries in the register of a bank account are shown in the table.
Account Register
Date
Withdrawal
Deposit
Balance
April 2
$1,976.20
April 3
$27.60
April 6
$192.70
April 8
$532.18
April 9
$35.90
?
What is the balance in this register after the withdrawal on April 9 ?
O A. $1,187.82
O B. $1,645.02
OC. $2,307.38
O D. $2,764.58

Answers

The answer is B I know because I took the quiz
The answer to your question is B.

Another thrifty student has saved up $1400 working at City Beach. This person put the money into an account for
1 year, which generated $70 interest. What was the interest rate?

how do i work out the interest rate?

Answers

Answer 20%

Step-by-step explanation:

Find the least number which must be added to 2000 to make the sum a perfect square​

Answers

add 25 to 2000 = 2025

sqrt 2025 = 45

Ayuda plissss es para hoy

Answers

Answer and Step-by-step explanation:

1.

First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{8}{5} +\frac{6}{5} -\frac{4}{5} =\\\\\frac{14}{5} -\frac{4}{5} = \frac{10}{5} = 2\\\\\\[/tex]

2 × [tex]\frac{5}{6}[/tex] = [tex]\frac{10}{6} = A) \frac{5}{3}[/tex]   <- This is the answer. Esta es la respuesta.

2. First, combine everything in the first parenthesis, then multiply by the number on the outside.

Primero, combine todo en el primer paréntesis, luego multiplique por el número en el exterior.

[tex]\frac{20}{11} + \frac{12}{11}- \frac{19}{11} =\\\\\frac{32}{11} -\frac{19}{11} = \frac{13}{11} \\\\\\[/tex]

[tex]\frac{13}{11}[/tex] × [tex]\frac{11}{13}[/tex] = B) 1  <- This is the answer. Esta es la respuesta.

3. Make the fractions have the same denominator, then add, then multiply by 40.

Haz que las fracciones tengan el mismo denominador, luego suma y luego multiplica por 40.

[tex]\frac{3}{8} ->\frac{15}{40} \\\\\frac{4}{5} ->\frac{32}{40} \\\\\frac{15}{40}+ \frac{32}{40} = \frac{47}{40} \\\\\\[/tex]

[tex]\frac{47}{40}[/tex] × 40 = E) 47  <- This is the answer. Esta es la respuesta.

I hope this helps! #TeamTrees #PAW (Plant And Water)

¡Espero que esto ayude! #TeamTrees #PAW (Planta y agua)

Santos is a lifeguard and spots a drowning child 50 meters along the shore and 60 meters from the shore to the child. Santos runs along the shore for a while and then jumps into the water and swims from there directly to the child. Santos can run at a rate of 4 meters per second and swim at a rate of 0.9 meters per second. How far along the shore should Santos run before jumping into the water in order to save the child

Answers

Answer:

Santos should run approximately 36.145 meters along the shore

Step-by-step explanation:

The given parameters are;

The distance along the shore of the child = 50 meters

The distance from the shore of the child = 60 meters

The rate at which Santos can run = 4 m/s

The rate he can swim = 0.9 m/s

Let 'x' represent the distance he runs along the shore

We have;

The time he spends running on the shore, t₁ = x/4

The time he spends swimming, t₂ = (√(60² + (50 - x)²)/0.9

The total time, T = t₁ + t₂ = x/4 + (√(60² + (50 - x)²)/0.9

To find the maximum, we have;

dT/dx = 0 = d(x/4 + (√(60² + (50 - x)²)/0.9)/dx = 1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

1/4 - (50 - x)/(0.9·(√(60² + (50 - x)²) = 0

Simplifying using a graphing calculator gives;

[tex]\dfrac{x - 2000}{9} = \sqrt{x^2-100\cdot x+6,100}[/tex]

1519·x² - 151900·x + 3505900 = 0

x = (151900 ± √((-151900)² - 4×1519×3505900))/(2 × 1519)

x ≈ 63.86 m or x ≈ 36.145 m

We note that the distance from a point x = 63.83 meters and 36.145 meters from where Santos spots the girl to the location of the girl are the same

Therefore, Santos should run approximately 36.145 meters along the shore before jumping into to the water in order to save the child

6
b
160°
45°
Find a, b, and c.
A. a = 12,6 = 673,c=316
B. a = 12,6 = 1213,c=31/6
C. a = 6/3,6 = 12,C= 612
D. a=6x3,6 = 12-/3,c=ba/2

Answers

Answer:

C. a = 6√3, b = 12, c = 6√2

Step-by-step explanation:

First let's find b using the cos. The cos is the adjacent side if the angle divided by the hypotenuse. We know the value of the adjacent side and we know that cos(60°) = 1/2 = 0.5:

cos(60°) = 6/b

0.5 = 6/b

b = 6/0.5

b = 12

Now we can find a using the Pythagorean theorem:

b² = 6² + a²

12² = 6² + a²

144 = 36 + a²

a² = 144 - 36

a² = 108

a = √108

a = 6√3

And now we can find c using cos again:

cos(45°) = c/b

√2/2 = c/12

c = 12•√2/2

c = 6√2

When filled to capacity, the water in the aquarium water
tank reaches 32 feet. The water is currently reaching 24
feet. What percentage of the tank is full?

Answers

Answer:

75 %

Step-by-step explanation:

can someone help please!!
find the maximum value of function f(x) = -1.1x^2 - 3.6x + 1

Answers

Step-by-step explanation:

everything can be found in the picture

Aline has a slope of -3 and a y-intercept of 3

what is the x-intercept of the line?

Answers

Answer:

(1,0)

Step-by-step explanation:

y = -3x+3

simple, to find the x-intercept, what does x equal for y to be 0?

when x is 1, y equals 0, so the x-intercept would be at (1,0)

A sample of a radioactive isotope had an initial mass of 120 mg in the year
2010 and decays exponentially over time. A measurement in the year 2015
found that the sample's mass had decayed to 50 mg, What would be the
expected mass of the sample in the year 2018, to the nearest whole number?

Answers

Answer:

2015-2010=5

50÷5=10

120-50=70

2017-2015=2

2*10=20

70-20=50mg

2018=50mg

Complete the statement

Answers

Answer:

<RQS = <RSQ

Step-by-step explanation:

IRQ = RS, then QRS is an isosceles triangle and the base angles are equal

<RQS = <RSQ

Plzzzzz help ill make you brainliest

Jack's school is 6 km from his home. He goes to school by bus. One day on the way to school due to road construction the bus had to stop at a distance of 4,750 meters from his home. How far was the bus from school?

1 4,756 m

2 4,744 m

3 4,750 m

4 1,250 m

Answers

Answer:

4 1250 m

Step-by-step explanation:

Hope it helps you.

the trapezium is drawn on a centimetre grid

Answers

Answer:

21 cm²

Step-by-step explanation:

Applying,

A = (a+b)h/2............. Equation 1

Where A = area of the trapezium, a = length of the first parallel side, b = length of the second parallel side, h = height.

From the diagram

Given: a = 5 cm (5 grids), b = 9 cm (9 grids), h = 3 cm (3 grids)

Substitute these values into equation 1

A = 3(5+9)/2

A = 3(14)/2

A = 3×7

A = 21 cm²

One floor is randomly taken from a
vase containing 5 red flowers,
2 white flowers, and 3 pink flowers.
Find the probability of taking a red
or a pink flower.

Answers

First count the total flowers. 10 total, that is you bottom number or denominator. 5 red + 3 pink = 8
8/10 or 8 out of 10 chance.
Both numbers are divisible by 2.
8/2= 4 & 10/2= 5
4/5 chance in picking red or pinks flowers. You have an 80% chance which are pretty high odds.

During a fundraiser, students in Math Club make a $0,50 profit for every candy bar
they sell
Let n represent the number of candy bars the club sells.
Lett represent the total profit earned, in dollars.
What is the total profit earned for selling 10 candy bars?


I got two answer when I solved it but I’m not sure which one is correct

Here what I got

For the first time I tried it
0.50x10=5
Or
0.50+0.50 +0.50 +0.50 0.50 +0.50+0.50+0.50+0.50= 4.5

I’m not sure if I’m correct or which is the right answer can someone expían ?

Answers

Answer:

profit(n) = n * .50

Profit(10) = 5.00

Step-by-step explanation:

Profit = amount of candy bars sold * profit per candy bar

profit(n) = n * .50

Let the number of candy bars sold be 10  ( n=10)

Profit(10) = 10 * .50

               = 5.00

When you added you only added 9  .50 terms which is why you only got 4.50 for your answer.

A container is 1/3 full pf water and 1/4 full of oil. What fraction of the container is empty?

Answers

Answer

IS 2/4

Step-by-step explanation:

1/3 = 4/12  1/4 = 3/12  4/12+3/12= 6/12 = 2/4

Help me besties

Find the measure of each angle in a regular 55 sided polygon.

Answers

[tex]a =\dfrac{180\cdot(n-2)}{n}\\~\\a = \dfrac{180\cdot(55-2)}{55}\\~\\a = 173^{\circ} \text{ }27'\text{ }16''[/tex]

(x^2)^3÷x^6 HELLLLP​

Answers

Answer:

x

Step-by-step explanation:

(x²)³ ÷ x⁶

x⁶ ÷ x⁶

x

The answer is 1

Explanation: (x ²) ³ = x ⁵

x ⁵ / x ⁶ = 1

Hello again, do you mind helping me? Thank you

Answers

Answer:

P = 20 and A = 24

Step-by-step explanation:

6+6+4+4 = 20

6*4 = 24

Hope this helps

The graph of the function f(x) = (x + 2)(x − 4) is shown.
Which describes all of the values for which the graph is negative and increasing?
all real values of x where x < −2
all real values of x where −2 < x < 4
all real values of x where 1 < x < 4
all real values of x where x < 0

Answers

Answer:

all real values of x where 1 < x < 4

If there is anything you don't understand let me know.  Also, since the graph is supposedly shown you may even be able to get the information just by looking at the graph.  

Step-by-step explanation:

A graph  goes from being negative to positive (or the other way around) by passing through the x axis.  Or in other words when f(x) = 0.  So the trick is to find all 0s and then test if it is poitive or negative before and after the 0.  

f(x) = (x+2)(x-4) is in factored form, so it gives the 0s.  in factored form the 0s are the negatives of the numbers int he parenthesis.  Or in other words (x+a)(x+b) would have 0s at -a and -b.  Notie it is x+a but the 0 is at -a.  so for (x+2)(x-4) the zeroes would be -2 and 4.

Then checking, we can say it is positive before -2, negative after -2 up until 4, then it is positive again.

For increasing and decreasing for anything other than a quadratic and linear function you need calculus.  Since this is a quadratic though you don't need it.

With quadratics you need to know they have two parts.  An increasing part and decreasing part.  If you draw the graph of x^2 you can see it decreases until (0,0) then it starts increasing.  -x^2 is the opposite.  it won't always have the same changing point, but you can always tell if it increases first or decreases first.  You look at if the coefficient next to x^2 is positive of negative.  

In (x+2)(x-4) We have to expand first.  so it becomes x^2 - 2x - 8.  x^2 has 1 as its coefficent so we know it decreases first then increases.  Also looking at (x+2)(x-4) you could say since the two xs have the same sign we also know it would be that.  is one was positive and one negative, like (2x+1)(-3x+1) we would be able to say it increases first then decreases.  

To know when it switches, since it is in factored form you find the point in the middle of the two zeroes, and that is where it switches.  Since the zeroes are -2 and 4 we can say the middle (called the vertex) is at x=1 since it is 3 away from both 0s.  So it decreases up until 1 then increases.  

The different forms of quadratics have different easy methods of finding the vertex.

We could also actually use this information to say, since it is decreasing first we know it is positive before the first 0, then negative until the second 0, then positive again.  Still would have to find the 0s though.

So now we know it is positive and decreasing until x=-2, negative and decreasing until 1, negative and increasing until 4, then increasing after that.

Since you want negative and increasing, that is 1 < x < 4

URGENT PLS HELP ASAP ANSWER EACH EMPTY BOX AND I WILL GIVE BRAINLIEST !!!!!

Answers

Answer:

y-1 = 2(x+2)

Step-by-step explanation:

Point slope form of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y -1 = 2(x - -2)

y-1 = 2(x+2)

what is the estimate product of 345 and 34?​

Answers

Answer:

7000

Step-by-step explanation:

A square with an area of A2 is enlarged to a square with an area of 25A2. How was the side of the smaller square changed?

The side length was increased by 5.
The side length was multiplied by 5.
The side length was increased by 10.
The side length was multiplied by 10.

Answers

Answer:

second option : the side length was multiplied by 5.

Step-by-step explanation:

a = side length of the original square

A² = a×a

(a+5)×(a+5) = a² + 10a + 25

and that should be equal to a²×25

a² + 10a + 25 = 25a² ?

10a + 25 = 24a²

no, that is not true for all a

a×5 × a×5 = a²×25 = 25A²

this is the correct solution, as it is true for all a.

For the area to be  25a², the side length was increased by 5.

How to calculate the area of a square

Let a be the side length of the original square, hence:

A = a²

Increasing the length by 5 will give:

(a+5)×(a+5) = a² + 10a + 25

Factorizing the result

a² + 10a + 25 = (a+5)²

a² + 10a + 25 = 25a²

This shows that for the area to be  25a², the side length was increased by 5.

Learn more on area of square here: https://brainly.com/question/25092270

Originally a rectangle has dimensions 12in by 8in. if the same amount increases on both sides, the area is doubled find the new dimensions

Answers

Step-by-step explanation:

Let the increase in the size of the length and breath be 'x'.

The area of the rectangle = 12in × 8in

=96 in²

From the question,

(12+x)(8+x)=96×2 in²

or, 96+12x+8x+x²= 192

or, x²+20x+96-192=0

or, x²+20x-96=0

or, x²+24x-4x-96=0

or, x(x+24)-4(x+24)=0

or, (x-4)(x+24)=0

Either, Or,

x-4=0 x+24=0

Therefore, or, x= –24 (Which is impossible)

x=4

So the new dimensions are 12+4=16 inch and 8+4=12 inch.

The school is having a bake sale. It costs $6 to make a cake. The school wants to make a 25% profit on each cake. How much should the school charge for each cake?​

Answers

Answer:

$1.50

Step-by-step explanation:

25% of 6 is basically just 6/4, which is 1.5.

This is money we're talking about, so the answer is $1.50

A woman went shopping and spent 2/7 of all the money she had. Then she lost 2/5 of what she had left after shopping. How much money did hse. have before she went shopping if she now has $15.00. BTW I need to know ASAP pls.

Answers

Answer:

$35

Step-by-step explanation:

1-2/7=5/7 (remaining money left after shopping)

2/5×5/7=2/7 (amount of money lost)

5/7-2/7=3/7 (amount of money she has now)

3/7=$15

1/7=$5

7/7=$35

Hence, total amount of money she has before she went shopping=$35

hope it helps:))))

or
1. The starting point of a___ or____
is the endpoint.

Answers

Answer:

1. The starting point of a ray or line segment

is the endpoint.

Step-by-step explanation:

hope it may help you!

Answer:

The starting point of a ray or line segment is the endpoint.

Step-by-step explanation:

hope it may help you

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

29.9

Step-by-step explanation:

tan x = 5.6/9.7

tan x = 0.57732

x = 29.9 to nearest tenth

I hope I'm correct if not I tried my best

bye :-)

Find mZA and mZB.
Please help :)

Answers

Answer:

Angle A: 28 degrees

Angle B: 24 degrees

Step-by-step explanation:

Hi there!

The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

[tex]4y-4+3y=52[/tex]

1) Solve for y

[tex]4y-4+3y=52[/tex]

Combine like terms

[tex]7y-4=52[/tex]

Add 4 to both sides to isolate 7y

[tex]7y-4+4=52+4\\7y=56[/tex]

Divide both sides by 7

[tex]\frac{7y}{7}=\frac{56}{7} \\y=8[/tex]

Therefore, y is equal to 8.

2) Solve for angles A and B

Angle A:

[tex]4y-4\\=4(8)-4\\=32-4\\=28[/tex]

Angle B:

[tex]3y\\=3(8)\\=24[/tex]

I hope this helps!

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