maths questions on coordinate geomery

Answers

Answer 1

Answer:

:

Example Question #1:

Step-by-step explanation:

Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?

Possible Answers:

4x – y = 0

(1/4)x + y = 0

4x + 8y = 0

4x = 8y

y – 4x = 22

Correct answer:

4x – y = 0

Explanation:

We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22

Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.

In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.

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Related Questions

An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false​

Answers

Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.

i need help ASAP. PLEASE. ​

Answers

Answer:

1st one

Step-by-step explanation:

Help me solve this problem please

Answers

Answer:

C: 165mi, 40mi, 115mi

Step-by-step explanation:

hope it helps :)

165mi 40 mi 115mi hope i can help

A line has slope 3 and y–intercept 4.

Which answer is the equation of the line?

Answers

Answer:

y= 3x+4

Step-by-step explanation:

Slope-intercept form of an equation is

y=mx+b

m=slope

b=y-intercept

Just plug the values in and you get y=3x+4

How do I answer 3 and 4

Answers

Answer:

yo have to think very hard about it

sorry, I don't have an answer but I do want to know myself

what is the commen diffrence for this geometric sequnce 4,24,144,864

Answers

Answer:

your answer is in the attachment...

hope this helps you.!!!!

Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

**who can help me**

Answers

Answer:

.

Step-by-step explanation:

What are the maximum and minimum of the function f(x) = 0.9 I -(x - 5) I + 7 ? A. Maximum at (5,7) and minimum at (0,0) B. Minimum at (5,7) and no maximum C. Minimum at (0,0) and no maximum D. Maximum at (5,7) and no minimum

Answers

Answer:

[tex]Minimum = (5,7)[/tex]

No maximum

Step-by-step explanation:

Given

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Solving (a): The minimum

The minimum is when the absolute parameter gives 0

i.e.

[tex]0.9|-(x - 5)| =0[/tex]

Divide both sides by 0.9

[tex]|-(x - 5)| =0[/tex]

Open bracket

[tex]|-x + 5| =0[/tex]

Remove absolute sign

[tex]-x + 5 =0[/tex]

Collect like terms

[tex]x = 5[/tex]

Then the y value is:

[tex]f(x) = 0.9|-(x - 5)| + 7[/tex]

Recall that: [tex]0.9|-(x - 5)| =0[/tex]

So, we have:

[tex]f(x) = 0 + 7[/tex]

[tex]f(x) = 7[/tex]

Hence, the minimum is at: [tex](5,7)[/tex]

Since the minimum is at [tex](5,7)[/tex], then the graph will open upwards.

Hence. the function has no maximum; i.e.

[tex]Maximum = (\infty,\infty)[/tex]

quall o numero de diagonais de um poligono com 15 lados

Answers

Answer:

90 diagonais.

Step-by-step explanation:

[tex]n(n-3)/2=15(15-3)/2=15*6=90[/tex]

Given f(x) and g(x)= f(k•x), use the graph to determine the value of k

Answers

Answer:

[tex] \displaystyle \boxed{k = 3}[/tex]

Step-by-step explanation:

to determine the Value of k we need to find the equation of f(x) and g(x)

finding the equation of f(x):

f(x) is a linear function which form is given by:

[tex] \displaystyle f(x) =mx + b[/tex]

where:

m is the slope b is the y-intercept

from the graph we acquire that

[tex]b = 4[/tex]

to figure out m we can consider the following formula:

[tex] \displaystyle m = \frac{ \Delta y}{ \Delta x} [/tex]

from the graph we obtain that both ∆x and ∆y is 1 thus substitute:

[tex] \displaystyle m = \frac{ 1}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 1[/tex]

altogether we acquire:

[tex] \displaystyle f(x) =x + 4[/tex]

finding the equation of g(x):

likewise f(x)

from the graph we obtain that

∆x=1∆y=3

thus substitute:

[tex] \displaystyle m = \frac{ 3}{ 1} [/tex]

simplify:

[tex] \displaystyle m = 3[/tex]

from the graph we acquire

b=4

altogether substitute therefore

[tex] \displaystyle g(x) =3x + 4[/tex]

finding the value of k:

given that,

[tex] \displaystyle \rm f(x) \: \text{and} \: g(x) =f(kx) = 3x + 4[/tex]

so our equation is

[tex] \displaystyle kx + 4 = 3x + 4[/tex]

cancel 4 from both sides:

[tex] \displaystyle kx = 3x [/tex]

divide both sides by x:

[tex] \displaystyle \boxed{k = 3}[/tex]

and we're done!

Disclaimer:

at the following link we posted the complete question

the complete question:

https://brainly.com/question/24201282

Answer:

k = 3

Step-by-step explanation:

Graph is in attachment .

Finding equation of first line [ f(x) ] :-

We can see that the line passea through point ( 0,4) . Therefore ,

y intercept = 4

Also it passes through (-4,0 )

Now let's find out slope .So that we can use the slope intercept form to find the equⁿ of the line.

m = y ₂ - y₁ / x ₂ - x₁ m = 4 - 0 / 0 - (-4) m = 4/4 m = 1

Equation of f(x) :-

y = mx + c y = 1 * x + 4 y = x + 4 f(x) = x + 4

Similarly when we will find the equⁿ of g(x) :-

y = 3x + 4g(x) = 3x + 4

By question :-

f(x ) and g(x) = f ( k • x ) 3x + 4 = kx + 4 kx = 3x k = 3


At a local Brownsville play production, 420 tickets were sold. The ticket
prices varied on the seating arrangements and cost $8, $10, or $12. The
total income from ticket sales reached $3920. If the combined number
of $8 and $10 priced tickets sold was 5 times the number of $12 tickets
sold, how many tickets of each type were sold?

Answers

Answer:

jsdcjdvnjkdnjnjdanskcbanknqnjfkrbgiyrwhgondfkv

Step-by-step explanation:

14. Phyllis wants to hire a clown to entertain at her daughter's birthday party.
• The clown charges a $25 travel fee.
• The clown also charges $5.50 per hour to entertain.
Which equation describes the relationship between the cost, C, Phyllis must pay and the number of hours, n, the clown provides
entertainment?

Answers

Answer:

C=25+5.50n

Step-by-step explanation:

C=25+5.50n where c is the total cost and n is the number of hours the clown entertains.

find the shortest distance between the lines 3x+4y+10=0 and 3x+4y+20=0​

Answers

Answer:

the lines are parallel they are 10 units apart

Step-by-step explanation:

The shortest distance between these two parallel lines is 2.5

Given equations:

3x + 4y + 10 = 0 ----- (1)

3x + 4y + 20 = 0 ---- (20)

To find:

the shortest distance between the two lines

The slope  and y-intercept of the first equation is calculated as;

3x + 4y + 10 = 0

4y = -3x - 10

[tex]y = \frac{-3x}{4} - \frac{10}{4} \\\\y = \frac{-3x}{4} - \frac{5}{2}[/tex]

The slope = -³/₄ and the y-intercept = - ⁵/₂ = - 2.5

The slope  and y-intercept of the second equation is calculated as;

3x + 4y + 20 = 0

4y = -3x  - 20

[tex]y = \frac{-3x}{4} - \frac{20}{4} \\\\y = \frac{-3x}{4} - 5[/tex]

The slope = -³/₄ and the y-intercept = - 5

The two equations have the same slope = -³/₄

This shows that they are parallel with different y-intercepts

The shortest distance between the two lines is at their y-intercepts

The shortest distance between these two lines is calculated as;

[tex]distance = \sqrt{(-5 - (-2.5) )^2} \\\\distance = \sqrt{(-5+ 2.5)^2} \\\\distance = \sqrt{(-2.5)^2 } \\\\distance = \sqrt{6.25} \\\\distance = 2.5[/tex]

Thus, the shortest distance between these two parallel lines is 2.5

learn more here: https://brainly.com/question/11566480

It takes 20 minutes to fill a wading pool. The pool has developed a leak through which it will empty in 30 minutes.
If the hole is not fixed, how long will it take to fill the wading pool?

Answers

In t minutes, t/20 of the pool is filled and t/30 of it is emptied.

t/20 - t/30 = 1
multiply both sides by LCM 60.

3t - 2t = 60
t = 60

The pool is filled in 60 minutes.

what rule changes input to output numbers

Answers

Answer:

C. 3x - 5

Step-by-step explanation:

The inputs are the values of x and the outputs are the values of y.

checking all options by placing any output as x and seeing if it gives the same output as in the table.

All options except C do not give the same output as in the table (ill show the working for option C you can do for yourself the rest ^^")

Let's take x = 4

placing it in 3x - 5

output (y) = 3(4) - 5

= 12 - 5

= 7

same as the output given in the table so the answer is C.

Florencia preparó un kilo 3/4 kg de dulce de leche y quiere dividirlo en porciones iguales en 5 frascos Cuántos kg de Dulce pondrá en cada frasco A cuántos gramos equivalen

Answers

Answer:

Each jar contains 150 g.

Step-by-step explanation:

Florencia prepared a kilo 3/4 kg of dulce de leche and wants to divide it into equal portions in 5 jars How many kg of Dulce will she put in each jar How many grams are equivalent?

Amount prepared = 3/4 kg

Total number of jars = 5

The amount in each jar is given by

[tex]\frac{3}{4}\times \frac{1}{5}\\\\=\frac{3}{20} kg\\\\= \frac{3}{20}\times1000g = 150 g[/tex]

How many 1/4 cup servings are there in 2 cups of raisins?

Answers

4444444444444444444444444

4 is the answer

The diameter of a quarter is approximately 2 millimeters. How many quarters would u need to make a two kilometer high pile?

Answers

Answer:

The number of quarters required to pile up to 2 km are 1000000.

Step-by-step explanation:

Diameter of each quarter = 2 mm

Total height = 2 km

Number of quarters required is given by

[tex]\frac{ 2 km}{2 mm}\\\\\frac{2\times 1000\times 1000 mm}{2 mm}\\\\= 1000000[/tex]

OMG HELP ILL GIVE U BRAINLIEST HDSJSHXHX

Answers

ITS OK DONT MARK ME AS BRAINLIEST CAUSE IM PRETTY SURE LKJNTF CAN ANSWER IT

What is the solution to the equation below?

√2x/√x-1=2

A. 4 B. 2 C. 5 D.3

Answers

Given:

The given equation is:

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

To find:

The solution for the given equation.

Solution:

We have,

[tex]\dfrac{\sqrt{2x}}{\sqrt{x-1}}=2[/tex]

On simplification, we get

[tex]\sqrt{2x}=2\sqrt{x-1}[/tex]

Squaring both sides, we get

[tex]2x=4(x-1)[/tex]

[tex]2x=4x-4[/tex]

[tex]2x-4x=-4[/tex]

[tex]-2x=-4[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-4}{-2}[/tex]

[tex]x=2[/tex]

Therefore, the correct option is B.

In how many ways can u arrange the letters of the word MATHEMATICS taking three letters at a time?​

Answers

Answer:

256 ways i think maybe

Step-by-step explanation:

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4? x < –3 x > –3 x < 3 x > 3

Answers

Answer:

x > 3

Step-by-step explanation:

Given the inequality :

-2(5 – 4x) < 6x – 4

Expand the equation in bracket :

-10 + 8x < 6x - 4

Collect like terms

-10 + 4 < 6x - 8x

-6 < - 2x

Divude both sides by - 2

-6 / - 2 < - 2x / - 2

3 < x

x > 3

m.c.m (35;50)
m.c.d (35;50)
m.c.m (116;92)
m.c.d (116;92)​

Answers

Answer:

hxgdhsksuflskjtnsjfbdyfyjagdjxfhhfbejfbodwkkgodl

PLS HELP ASAP
WHICH IS THE RIGHT ASNWER OF THE FUNCTION PICTURED BELOW? A,B,C,D?

Answers

Answer:

Step-by-step explanation:

C looks right

as shown in the graphs  :P

CH 2. PPLYNOMIALS 1. The number 0 is called a​

Answers

Step-by-step explanation:

The number 0 is called a. zero polynomial. binomial.

zigya

Two cars started from a point and traveled in opposite directions; each
car has traveled some miles as shown on the number line. Find the
distance between the two cars.

Answers

[tex] \frac{6}{11} - \frac{ - 7}{11} [/tex]

[tex] \frac{6 - ( - 7)}{11} [/tex]

[tex] \frac{6 + 7}{11} [/tex]

[tex] \frac{13}{11} [/tex]

Solve the system of equations.
8x + 5y = 24
y = -4x
x =
y =

Answers

Answer:

x = -2

y = 8

Step-by-step explanation:

8x + 5y = 24

y = -4x

8x + 5 (-4x) = 24      (Substitute y value)

8x - 20x = 24           (Multiply)

-12x = 24                   (Combine like terms and divide)

x = -2

y = -4 (-2)                   (Substitute x value. Multiply)

y = 8

A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distributed with a mean of $41,182 and a standard deviation of $11,990 (based on data from Nielsen Media Research). If an advertising campaign is to be targeted at those whose household incomes are in the top 20%, find the minimum income level for this target group.

Answers

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that [tex]\mu = 41182, \sigma = 11990[/tex]

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - 41182}{11990}[/tex]

[tex]X - 41182 = 0.84*11990[/tex]

[tex]X = 51253.6[/tex]

The minimum income level for this target group is of $51,253.6.

Can someone help me with this math homework please!

Answers

Answer:

First dropbox: 7h + 43 = 64

Second dropbox: $3

Step-by-step explanation:

Here's what we know about the question so far:

$43 is the initial fee

The rototiller worked for 7 hours

$64 is the total cost (including initial fee)

h = hourly fee

The answer should be 7h + 43 = 64 because:

- It includes the initial fee of $43

- It sets the equation equal to $64, which is the total cost

- The hourly fee is being multiplied with 7 hours, which is correct since the h variable is hourly (not sure how to explain this part ;w; )

For the 2nd drop box, we will use basic algebra to solve for h:

7h + 43 = 64

(subtract both sides by 43)

7h = 21

(divide both sides by 7)

h = 3

There's your 2 answers!

Hope it helps (●'◡'●)

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