Mathematics High School

What is the equation, in slope-intercept form, of the line that is perpendicular to the line y – 4 = –2/3(x – 6) and passes through the point (−2, −2)?
y = –2/3x –10/3
y = –2/3x +10/3
y = 3/2x – 1
y = 3/2x + 1

Answers

Answer 1
lets write the given equation in the y = mx + c form 
y - 4 = -2/3(x-6)
y - 4 = -2/3x + 4
y = -2/3x + 8
therefore the slope is -2/3 and intercept is +8
the perpendicular line passes through x = -2 and y = -2
then if the given graph has a slope of -2/3 the line that is perpendicular to that should have the reciprocal of the gradient and should be in the opposite direction. So m = +3/2
lets substitute x,y and m values for the new perpendicular line
y =mx + c
-2 = 3/2 * -2 +c
-2 = -3 +c
c = -2 +3 
c = 1
Therefore the equation for the perpendicular line is 
y = 3/2x + 1

Answer 2

Answer:

y = 3/2x + 1

Step-by-step explanation:

Related Questions


4.Krissa drew a circle with a radius of 4 inches.

Fill in the blanks.

The area of the circle is _______ square inches and the circumference is _______ inches.



64π, 16π


16π, 8π


16π, 64π


8π, 16π

Answers

Answer: second option: 16π, 8π

Explanation:

1) To calculate the area use the formula:

Area = π (radius)^2

radius = 4 in => area = π (4 in)^2 = 16π in^2

2) To compute the circumference use the formula:

Circumference = 2π(radius)

=> Circumference = 2π (4 in) = 8π in.

To calculate the area of a circle, use the formula A = πr², where r is the radius. For this specific circle with a radius of 4 inches, the area is 16π square inches, and the circumference formula is C = 2πr, resulting in a circumference of 8π inches.

To find the area of a circle: A = πr². Substituting the given radius of 4 inches, we get Area = π(4)² = 16π square inches. The circumference of a circle is C = 2πr. Substituting the radius, we get C = 2π(4) = 8π inches.

1. Your total restaurant bill is _____. (1 point)
Captionless Image
*

the items purchased minus sales tax, and plus tip.
the items purchased plus sales tax and tip.
the items purchased minus sales tax, and plus tip.

2. A check is _____. (1 point)
Captionless Image
*

required to be paid by your bank when presented
a promissory note (I.O.U.)
not able to be forged

3. There are several different ways to pay for items. In most modern economies, which is not a way to pay? (1 point)
Captionless Image
*

credit cards
bartering
cash

Answers

First question:

Your total restaurant bill is the items you have purchased plus the sales tax and plus the tip (if there’s any). Sales tax is added to your purchase because this is tax imposed to the consumer and not to the buyer. The buyer is only required to collect this tax from the buyer.

Second question:

A check is a financial instrument wherein the bank is required to pay when presented or encashed to them. You just have to make sure that you have account balance to that certain bank.

Third question:

The way of payment not any more common in the most modern economies is the bartering. Both credit cards and cash are the most common way of paying for your purchases.

Answer:

1. the items purchased plus sales tax and tip.

2. a promissory note (I.O.U.)

3. bartering

The sum of 19.3 and a number is 30.4. which eqation can be used to sole the problem?

Answers

the equation is

19.3 + n = 30.4

Answer:

19.3+n+30.4 (B on edg)

Step-by-step explanation:

If the height of Mount Everest is about 8.8×103 meters, and the height of the Empire State Building is about 3.8×102 meters, which of these statements is true?

Answers

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

Answer:

option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

Step-by-step explanation:

Given options are:-

A. There is no way to compare these heights .

B. Mount Everest is about 40 times as tall as the Empire State Building .

C. Mount Everest is about 23 times as tall as the Empire State Building .

D. The Empire State Building is about 23 times as tall as Mount Everest.

Given the height of Mount Everest is about 8.8×10^3 meters, and the height of the Empire State Building is about 3.8×10^2 meters.

Finding ratios of given heights:-

[tex]\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =\frac{8.8*10^3m}{3.8*10^2m} \\\\\frac{Mount\;\;Everest}{Empire\;\;State\;\;Building} =23.15789474 \approx 23 \\\\Mount\;\;Everest=23*(Empire\;\;State\;\;Building)[/tex]

Hence, option C is correct, i.e. Mount Everest is about 23 times as tall as the Empire State Building .

The distance from the origin to the point ​(-24​, 32​) is

Answers

The Pythagorean theorem tells you that distance is
.. √((-24)^2 +32^2)) = √(576 +1024) = √1600 = 40

Из листа картона длиной 35 см и шириной 20 см Маша вырезала четыре квадрата площадью 1 дм2 каждый.Найди площадь остатка картона.Ответ вырази в дм 2

Answers

the question in Englih is
From a cardboard sheet 35 cm long and 20 cm wide, Masha cut out four squares of 1 dm2 each. Find the area of ​​the cardboard residue. Answer the question in dm2

Step 1
convert cm to dm
we know that
1 cm is---------------> 0.10 dm
then
35 cm--------------> 3.5 dm
20 cm--------------> 2 dm

Step 2
find the area of ​​the cardboard
Area=3.5*2=7 dm²

Step 3
find the area of ​​the cardboard residue
Area=7-4*1=3 dm²

the answer is 3 dm²


the answer in Russian


Шаг 1
преобразовать cm в дм
мы знаем это
1 cm ---------------> 0.10 дм
тогда
35 cm--------------> 3.5 дм
20 cm--------------> 2 дм

Шаг 2
найти область картона
Площадь=3.5*2=7 дм²

Шаг 3
найти область остатка картона
Площадь=7-4*1=3 дм²
ответ 3 дм²

ответ 3 дм²
35*20=700 см2 (площадь картонки)
1 дм2=100 см2
Если она вырезала 4 квадрата по 100 см2, то осталось 700-(100*4)=700-400=300 см2
300 см2=3 дм2
Думаю,что так.

Anyone have the proper answer to this?

Answers

The translation rule used here is (x+2 , y+4).

So the image of (-7,3) will be:

(-7+2 , 3+4)
(-5 , 7)

So the answer is (-5,7).

Hope this helps :)


Consider the following pair of equations:

y = x + 4
y = −2x − 2

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

The pair of equations:
y = x + 4
y = -2x - 2

To solve the system of equation by substitution, you would substitute one variable for it's equivalent expression. Combining the pair of equations into one equation in only one variable. The easiest way to do this is by substituting out the variable y because it is already alone on one side of the equal sign. Substitute the y in the second equation for: x+4

x+4 = -2x - 2
solve for x
x + 2x = -2 -4
3x = -6
x = -2

now use the value for x to find y by putting into either equation.

y = x + 4
y = (-2) + 4
y = 2

solution is: (-2, 2)

A product transformation _____.
multiplies coordinates to transform the image
combines the coordinates of multiple transformations
finds the result of combining multiple transformations
uses a scale factor to multiply coordinates of the image

Answers

The answer is 'D' because a transformation needs to have a pattern. Only A and D have a pattern to them and B and C don't because they are random every time. It's not A because it doesn't specify what you multiply the coordinates by.

Answer:

The answer is C

Step-by-step explanation:

Please help me. Thank you.

Answers

The equation for Circumference is: 2πr

The diameter is 8.4 cm

to find radius (r), divide 8.4 by 2

8.4/2 = 4.2

plug in 4.2 for "r"

2π(4.2)

8.4π cm is your answer

hope this helps

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin. What is the scale factor of the dilation? 0.25 0.5 2 4

Answers

fFirst, we have the following points:
 A (5, 3) 
 B (3, 7) 
 C (1, 4) 
 We multiply these vertices by a factor k to obtain the new vertices: 
 A '(k * 5, k * 3) = (1.25, 0.75) 
 B '(k * 3, k * 7) = (0.75, 1.75) 
 C '(k * 1, k * 4) = (0.25, 1)
 We note that the value of k is: k = 1/4
 Answer:
 the scale factor of the dilation is:
 0.25

This is the answer the other is right

Which is the best estimate for the product of 123.519 × 311,982.21?



A.
372,000,000


B.
37,200,000


C.
3,720,000


D.
372,000

Answers

B, these numbers are all the same, so in the end it's whichever Digit is the closes, but each gap is that changing by entire Tens of thousands.
The sum of those numbers has 8 digits, the only answer with 8 digits--

The opening of the tunnel can be modeled by the graph of the equation y=-0.18x^2+4.4x-12 where x and y are measured in feet. Find the maximum height of the tunnel.

Answers

1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
 
 2. You have:
 
 y=-0.18x²+4.4x-12 
 
 a=-0.18
 b=4.4
 
 3. You must apply the following formula:
 
 x=-b/2a
 x=-4.4/2(-0.18)
 x=-4.4/-0.36
 x=12.22
 
 4. When you susbtitute x=12.22 into the equation y=-0.18x²+4.4x-12, you obtain:
 
 y=-0.18x²+4.4x-12
 y=-0.18(12.22)²+4.4(12.22)-12
 y=14.88 feet
 
 5. The answer is: The maximum height of the tunnel is 14.88 feet

Is 40% bigger than 2/5

Answers

To find the percentage of 2/5 you'll divide them and then multiply the answer by 100.

2/5 = 0.4 = 40%

So 40% and 2/5 are equal.

Hope this helps :)
40% can be rewritten as 0.4 
2/5 can be rewritten as 0.4. 

As you can see, they are equal, so NO, 40% is not bigger than 2/5.

14. Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5). Show your work.

Answers

The circumcenter has equal distance to each of the three vertices. Suppose the coordinates of the circumcenter O are (a,b). Then OD=\sqrt((a-1)^2+(b-3)^2), OE=\sqrt(a-8)^2+(b-3)^2), OF=\sqrt((a-1)^2+(b+5)^2). Let OD=OE=OF, solve the equation. x=9/2, y=-1. O(9/2, -1).

What is the answer to this question please explain...

Answers

Do what it says.

F = (9*30)/5 +32 . . . . . replace the variable C with the value 30
F = 270/5 +32 . . . . . . . order of operations says do multiplication and division in the order in which they appear. We have multiplied 9*30
F = 54 +32 . . . . . . . . . . division appears next. We have divided 270 by 5
F = 86 . . . . . . . . . . . . . . after multiplications and divisions are done, we add in the order of appearance. There is only one addition to perform.

F = 86 . . . . . . . . we suppose only the numerical value 86 should be entered

find the slope of the line that passes through the points (2,1) and (-1,-1).

Answers

Answer:

all work is shown and pictured

PLEASE HELP ASAP!
You have been hired by a museum to make a scale drawing poster of a painting to sell at the gift shop. The painting is 65in high by 105in wide. You are asked to use a 1in = 5in scale. What will the dimensions of your poster be? (2 points)

Answers

we know that
[scale]=[poster]/[painting]
[poster]=[painting]*[scale]
scale=1/5

then

for high = 65 in the painting
[poster]=[painting]*[scale]-----------> [65]*[1/5]-----> 65/5-------> 13 in

for wide = 105 in the painting
[poster]=[painting]*[scale]-----------> [105]*[1/5]-----> 105/5-------> 21 in

the answer is
The dimensions of the poster will be  15 in x 21 in

HELP PLS with this geometry problem

Answers

Angle A = arctan(12/5) = 67.4 degrees

Angle A = arccos(5/13) = 67.4 degrees

yes the answer was the same

Hey there

Could you plz help me id appreciate it so much: )
LIMITED TIME

Answers

The independent variable is known as 'x', and the dependent variable is known as 'y'. They just changed the variables here 'f(t)' or 'f(x)' is the same thing as 'y', and 't' is the same thing as 'x'.

So 't' is the independent variable, and 'f(t)' is the dependent variable.

The wording of the second option, the second to last, and the last is all correct. The questions says "let 't' be the time in years after 2000", so if 't' were say 5, this would mean 5 years after 2000 or 2005.  The question also states "let f(t) be the amount of garbage", so the result must be the amount of garbage.

So now we just need to confirm if the calculations were done correctly.

Option 2:

[tex]\sf f(2)=1233[/tex]

This is the same thing as saying if you plug in 2 for 't', you will get 1233, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 2 for 't':

[tex]\sf f(2)=1200\cdot (1.05)^2[/tex]

Simplify the exponent:

[tex]\sf f(2)=1200\cdot (1.1025)[/tex]

Multiply:

[tex]\sf f(2)=1323[/tex]

So option 2 is incorrect, and we see also that option 6 is correct. Now for the last one:

Option 7:

[tex]\sf f(4)=1458.6[/tex]

This is the same thing as saying if you plug in 4 for 't', you will get 1458.6, let's try it:

[tex]\sf f(t)=1200\cdot (1.05)^t[/tex]

Plug in 4 for 't':

[tex]\sf f(4)=1200\cdot (1.05)^4[/tex]

Simplify the exponent:

[tex]\sf f(4)=1200\cdot (1.21550625)[/tex]

Multiply:

[tex]\sf f(4)\approx 1458.6[/tex]

So the last option is also correct.

So your answers are options 3, 4, 6 and 7.

What does (r−c)(5) mean about George's new store?

Answers

store will have a profit of 5400 after it's fifth month in business
 Answer is C

Suppose that 24% of people own dogs. if you pick two people at random, what is the probability that they both own a dog?

Answers

To find the probability that both people randomly picked own a dog, we multiply the probability of one person owning a dog (24%) by itself, resulting in a 5.76% chance that both own a dog.

The question is asking us to calculate the probability that two randomly selected people both own a dog, given that 24% of people own dogs. Since the events (each person owning a dog) are independent, the probability of both events happening is the product of their individual probabilities.

Let's denote the probability of one person owning a dog as P(dog) = 0.24. Then, for two independent people, the probability that both own a dog is [tex]P(dog) \times\ P(dog) = 0.24 \times\ 0.24 = 0.0576.[/tex]

So, the probability that both people picked at random own a dog is 5.76%.

Help! Please. I don't get this.

Answers

a) ∠SQR and ∠2
b) Q
c) QR and QT

MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.

mXZ=140∘
mXSZ=220∘



What is the measure of ∠XYZ ?

Answers

The measure of an angle formed by two tangent lines intersecting at a point outside the circle is equal to one-half their intercepted arcs.
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40

The measure of angle XYZ is 40 degrees.

Hope this helps =)

Answer:

40

Step-by-step explanation:

Jacob drew the similar triangles below to represent the sides of two bicycle stunt jumps. The area of the smaller triangle is 36 square inches. what is the area of the larger triangle?

A. 54
B.108
C. 324
D. 432

Answers

The answer is D. 432.
Solution to this is,
36 x 12= 432
If the area of the smaller triangle is 36, then the answer to the area of the larger triangle is 432 inches square.

Anyone have a proper answer for this?

Answers

by the same "tangent-chord angle theorem" as you saw before, you have a tangent, and an arc, the arc is 120°, so the enclosed angle by both, namely ∡y, is half that of that arc.

Question 4 find the indicated probability or percentage for the normally distributed variable. the volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. what is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

Answers

Answer: 40.13% of the soda bottles will have a volume less than 32 oz.

First, we need to find the z-score. That is the number of standard deviations below the mean.

(32 - 32.3) / 1.2 = -0.25

A bottle of 32 oz is -0.25 standard deviations below the mean. Use a standard normal distribution probability table and you will find the 40.13% of the scores are below a z-score of -0.25.

PLEASE HELP ME ON THIS!!!!

Answers

The last two choices are appropriate.

Both give you f(1) = 7, f(2) = 9.50, f(3) = 12.00, ... as they should.

What is the equation of the midline for the function y = 2sin(x - π) + 3

Answers

the maximum value of sin(x-π) is 1, the minimum is -1, so the maximum value for the function y = 2sin(x - π) + 3 is 2*1+3=5, the minimum is -2+3=1, half way between 5 and 1 is 3, so y=3 is the midline. 

The equation of the midline for the function 2sin (x - π) + 3 is y = 3.

What is the Midline of a Function?

The midline of a function is the line horizontal to the minimum value and maximum value of the function.

Given function is 2sin (x - π) + 3.

We know the trigonometric formula,

sin (A - B) = sin A cos B - cos A sin B

sin (x - π) = sin x cos π - cos x sin π

               = (sin x × -1) - (cos x × 0)          [Since cos π = -1 and sin π = 0]

               = -sin x

So, 2sin (x - π) + 3 = -2sinx + 3

Now, we know that,

-1 ≤ sin x ≤ 1

Multiplying whole sides by -2,

2 ≥ -2sin x ≥ -2

[since the inequality sign changes when negative is multiplied or divided]

Adding 3 throughout,

5 ≥ -2sin x + 3 ≥ 1

Maximum value is 5 and minimum value is 1.

Midline value = (5 + 1) / 2 = 3

So the equation of the midline is y = 3.

Hence the equation of midline is y = 3.

Learn more about Midlines of Functions here :

https://brainly.com/question/12685150

#SPJ3

Can someone do question 3 by showing step by step solutions

Answers

The question is asking for the largest possible area

BUT it only gives you details on the perimeter of the fence. One of the sides of the area enclosure will be used from his fence and he has a maximum of 1,000 meters available for a perimeter... So the first step is to set up a perimeter equation and solve for the dimensions, before solving the max area problem

The equation for the perimeter will be:
2 (Width) + 1 (Length) =  1,000 m
Theres only 1 length being included in the equation because the fence the farmer has will be used instead of the building materials.

Solving for Length =
L = 1,000 m - 2 Width

Now using this equation (and replacing the L) into Area of a rectangle:
Length * Width = (1,000 m - 2 W) * W =

Area = - 2(W^2) + 1,000 W 

Now that we have the area, there are a few methods to find the maximum amount. Using calculus we can find the derivative of the function and solve for critical points to find extrema points and find the absolute maximum area.

You can also solve this using algebra by factoring this function because its a quadratic and then you can solve for the highest values.   y = -2x^2 +1000x 
=  -2x(x + 500)  where x = 0 and -500

Checking at x = -1,  y(-1) = 998

***** EDIT *****

Sorry, the question is only asking for the dimensions of the fence. Its not asking for you to solve the actual maximum size.

The dimensions would be 2 Width x Length
Other Questions
The diagram is a hat box that is designed with the shape of a regular octagon inside and a rectangle outside. Find the value of x. Please explain. Helpp! Find the area. The figure is not drawn to scale. https://courses.jmhs.com/content/enforced/8012-MA042_20_1/group/45b8c516-1008-46d7-aa1d-bb9b62c786ff/geometry_exam_10_files/mc001-1.jpg?_&d2lSessionVal=vtelKg4rpW3IHn6Wnb7kcJRAwA 56.24 cm2B 3.9 cm2C 11.3 cm2D 28.12 cm2 Suppose that 24% of people own dogs. if you pick two people at random, what is the probability that they both own a dog? A friend of yours says, "yes, i support the right of people to commit suicide, especially if they are in a lot of pain, or don't have long to live." in the united states, your friend's opinion is: Identify the essential element missing from the following topic sentence. Giving holiday gifts can be expensive! A. controlling idea B. limited topic C. concluding idea D. support for the main point Derotative righting, labyrinthine righting, and parachute are all examples of: a 56 inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and a third piece is four times as long as the first piece if x represents the length of the first please find the length of all three pieces A single gram of a certain substance has 0.52 gram of copper and 0.26 gram of zinc. The remaining portion of the substance.is nickel.Ben estimated that 0.2 gram of nickel is in 1 gram of the subtance.he used this estimate the amount of nickel in 35 grams of the substance.find the result of bens estimation strategy.then find the exact amoumt of nickel in 35 grams of the subtance Hey man forgets that he said his coffee cup on the top of his car he starts to drive in the coffee cup rolls off the car onto the road how does the scenario demonstrate the first law of motion How did the us, including the cia, wage the cold war in the 1950s? All of the following are examples of crime EXCEPT: A. drugs B. bankruptcy C. violent crimes D. drinking and driving What is the square of 2/3 I really need help Im so confused Is 40% bigger than 2/5 what is the exact volume of this cylinder? 4in 8in Which group of organisms produces energy from sunlight and is also known as blue-green algae? A)chemoautotrophs B)cyanobacteria C)methanogens D)spirochaetesI have to get right this question..... please right answer. A video sharing website starts with 20,000 members. Each year it loses 25% of the members, but adds 10,000 new members after the reduction. Write a recursive rule to find the number of members for any year. a chord of length 24cm is 13cm from the centre of the circle. caculate the radius of the circle Mechanical digestion, the process of breaking down large chunks of food into smaller pieces, is important because smaller pieces of food ________. mechanical digestion, the process of breaking down large chunks of food into smaller pieces, is important because smaller pieces of food ________. are more easily stored in the stomach than are larger pieces of food are easier to excrete than are larger pieces of food do not taste as good as larger pieces of food have more surface area for chemical digestion than do larger pieces of food Bees and flowers both belong to the domain Eukarya. Using this information, how are bees and flowers similar? Both must belong to the same kingdom as well. Both are made of cells that contain a nucleus. Both are made of cells without any membranes. Both are some of the oldest types of organisms found on Earth. HELP PLZ I ONLY HAVE 5 MINUTS LEFT Definition:This is the perspective from which a story is told or information is provided. It is the way the author lets the readers see and hear the story or information; who tells the story.Example: First person, limited third person