Find the distance from point A(15,−21) to the line 5x+2y = 4 . Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

5.4 units

Step-by-step explanation:

5x + 2y - 4 = 0 and (15, - 21)

d = |(A*Px)+(B*Py)+C| / (sqrt A^ + B^2)

A=5, B=2, C= - 4 and Px=15, Py= -21

d =|(5*15)+(2*-21)+ -4| / (5^2 + 2^2)

= |75-42-4| / sqrt 29

= 29/sqrt 29 = 5.4


Related Questions

What is the least five-digit even number with no repeated digits?

Answers

Your answer is 10234

(-10)-[9+(-3)]×2²÷(-8)

Answers

Answer:

-7

Step-by-step explanation:

-7 is the answer……………….

Winston ate 180 hot dogs in 9 hours. At that rate, how many hot dogs
would he eat in 12 minutes?

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Pls pls give me ur the earth code and wI

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Answers

Answer:4

Step-by-step explanation:

newton's second law of motion States that the acceleration of an object is directly proportional to the force exerted on the object. if an object accelerates at a rate of 3 m/s2 , it will exert a force of 15 N. how much force will the same object exert if it accelerates at a rate of 7 m/s2?

pls pls pls help (๑•﹏•)​

Answers

Answer:

Step-by-step explanation:

F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N

The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

From the question,

We have that,

Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object

Let a represent the acceleration and F represent the force exerted

Them we can write that

F ∝ a

Introducing a constant, m, which is the mass of the object

Then, we get

F = ma

From the question,

If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N

We will the determine the mass, m, of the object using the above formula

F = ma

We have that

a = 3 m/s²

F = 15 N

Using

F = ma

Then,

15 = m × 3

m = 15÷3

∴ m = 5kg

Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²

Using the same formula

F = ma

a = 7 m/s²

m = 5 kg

∴ F = 5 × 7

F = 35 N

Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N

Learn more here: https://brainly.com/question/20357188

Isis is 8 years younger than
her sister. The sum of
their ages is 44 years
How old is Isis and
how old is
her sister,

Answers

Answer:

Isis 18 and her sister 26

Step-by-step explanation:

Isis is 8 years younger than

her sister. The sum of

their ages is 44 years

How old is Isis and

how old is

her sister,

(44 - 8) : 2 = 18

18 + 8 = 26

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

check

23 + 18 = 44

the answer is good

How many minutes is it before 12 noon if 68 minutes ago it was three times as many minutes past 10 a.m.?​

Answers

if 68 minutes ago it (then) was three times as many minutes past 10 am (now)

x + 68 = 3 ×
×
(120 - x) →

x = 73 min
… if 68 minutes ago it (now) was three times as many minutes past 10 am (then)

x = 3 ×
×
[120 - (x + 68)] →

x = 39 min
… if 68 minutes ago it (then) was three times as many minutes past 10 am (then)

x + 68 = 3 ×
×
[120 - (x + 68)] →

x = 22 min

The surface area of a piece of paper is 345 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2

Answers

Step-by-step explanation:

345cm²=34500mm²

:;

cm in mm(*10)

cm² in mm²(*100)

cm³ in mm²(*1000)

I'd appreciate the brainliest

Alex‘s credit card balance is -$200 after a long she makes a payment of $50 towards her bill what integer represents
how much she still owes

Answers

Answer: 250

Step-by-step explanation:

i took a test

Adam has $100 in his savings account. He earns $12 a week for babysitting. How much money will Adam have after 3 weeks of babysitting

Answers

Answer:

$136

Step-by-step explanation:

as part of a campaign to promote it's annual clearance sale


Answers

Answer:

is this a question or not?

Step-by-step explanation:


[tex]-3\log_{3}\left(x-2\right)=-25[/tex]
Thanks!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!...........​

Answers

[tex] - 3 log_{3}(x - 2) = - 25 \\ = > log_{3}(x - 2) = \frac{ - 25}{ - 3} \\ = > log_{3}(x - 2) = \frac{25}{3} \\ = > (x - 2) = ( \frac{25}{3} ) ^{3} \\ = > x - 2 = \frac{15625}{27} \\ = > x = \frac{15625}{27} + 2 \\ = > x = \frac{15625 + 54}{27} \\ = > x = \frac{15679}{27} \\ = > x = 5226.33[/tex]

Answer:

5226.33 (approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math

Answers

speed = 330/6 = 55 mph

Answer:

55mph

Step-by-step explanation:

average speed=330/6=55mph

what is the slope of a line parallel to the line on the graph?

Answers

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

Select the correct answer. What is a round character? A. a character who contrasts the personality of another character B. a character who stays the same throughout a story C. a character who has a complex personality D. a character who has just one or two personality traits

Answers

The answer is c …………………

Josh bought seven boxes. A week later half of all his boxes were destroyed in a fire. There are now only 22 boxes left. With how many did he start? Please write an equation.

Answers

Answer:

Josh started out with 37 boxes.

Step-by-step explanation:

The answer is 37. He started out with 37

This graph represents 2x+y=−4.
Which ordered pair is in the solution set of 2x+y≤−4?

Question 6 options:

(2, −2)

(−2, −2)

(2, 2)

(−2, 2)

Answers

Answer:

(-2, -2)

Step-by-step explanation:

While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assuming no school days off when will he have both tests on the same day again.

Answers

March 3rd, assuming that it’s not a leap year and there are no school holidays.
Days x # of tests = days until both
6x2=12
4x3=12

QUESTION: 3 ÷ 0.05
EMERGENCY: Pls answer

Answers

Step-by-step explanation:

=3/0.05

=60ans.

mark me as a brainlist plz.

the answer is 60

You can solve it in calculator

I need some help with this

Answers



The following can be deduced from the expressions

m ∠ D = 4 × m ∠ A
m ∠ B = 3 × m ∠ A-12

Please note that the sum of angles in a triangle is 180 degress. Therefore,

M∠ A + m ∠ B + m ∠ D = 180equation(3)

Substitute for equation 1 and 2 in equation 3 as shown below

m ∠ A + 3 × m ∠ A - 12^0 + 4 x m ∠ A =180^0
m ∠ A + 3 × m ∠ A + 4 x m ∠ A = 180^0+12^0
8m ∠ A = 192^0
m ∠ A= 192^0/8
m ∠ A=24^0

Substitute for m∠A= 24 in equation 1 and 2 as shown below

m ∠ D = 4 × m ∠ A
m ∠ D = 4 × 24^0
m ∠ D = 96^0
m ∠ B = 3 × mA - 12^0
m ∠ B = 3 × 24^0 - 12
m ∠ B = 72^0 - 12^0

,

∠= °

∠= °

∠= °

a) What is the equation of the function

b) Compare the graph to f(x)=2(x+1)^2

Answers

Answer:
A) ((x+1)^2)-3

B) f(x) = 2(x+1)^2 is vertically stretched upwards by a factor of 2. In addition to this, it’s minimum value remains on the x-axis, due to there being no vertical translation like in the equation on part A.
So: The equation in part A has no vertical stretch, and does have a vertical translation, however it retains the same horizontal translation.

Explanation:
You can see the transformations by looking at the vertex and at least 1 other point.
Since it is a parabola we can start by saying:
f(x) = x^2
We also see a vertical translation of 3 units down:
f(x) = (x^2)-3
Lastly, we see a horizontal translation of 1 unit to the left:
f(x) = ((x-1)^2)-3
The answer is A hope this helps

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Answers

Answer:

Step-by-step explanation:

The answer is B brace in this image it shows the words that it says plz trust me and tell me if this is wrong it should not be tho

solve pls brainliest

Answers

Answer: (a.) -19  (b.) 78

Step-by-step explanation:

(a.) -33+14= -19       (b.) 75 - x = 78

(b.) 75 to zero = 75     Zero to -3

is 3 points behind zero, this make more distance from 75 so…

(b.) 75+3 = 78

Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.

Answers

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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How do you evaluate -98 - 13

Answers

Evaluations can only be done with algebraic equations

Answer:

-111

Step-by-step explanation:

Subtract 13 from -98  

I NEED A 100% ACCURATE ANSWER FOR THIS QUESTION ASAP NO LINKS !!!

Answers

Answer:

The first choice

Step-by-step explanation:

h=-3

hope it helps

Solution:

[tex]5h - 2 = 3h + 4 \\ = > 5h - 3h = 4 + 2 \\ = > 2h = 6 \\ = > h = \frac{6}{2} \\ = > h = 3[/tex]

Answer:

Option d. 3

Write the equation of the line passing through the points (-7,8) and (7,2) The equation of the line is [ ]Can someone please help me!!!

Answers

Answer:

the answer is y=−3/7x+5

Step-by-step explanation:

sorry if I did it wrong

What is the answer? Links will be reported. ( BRANLIEST )

Answers

Answer:

[tex] - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]

Step-by-step explanation:

[tex] \frac{7}{8} m + \frac{9}{10} - 2m - \frac{3}{5} \\ \frac{7}{8} m - 2m + \frac{9}{10} - \frac{3}{5} \\ \frac{7}{8} m - \frac{2m \times 8}{1 \times 8} + \frac{9}{10} - \frac{3 \times 2}{5 \times 2} \\ \frac{7m - 16m}{8} + \frac{9 - 6}{10} \\ - \frac{9}{8} m + \frac{3}{10} \\ - 1 \frac{1}{8} m + \frac{3}{10} \\ [/tex]

4) Sally has 10 purple beads, 25 yellow beads and 30 red beads. She is
going to make identical bracelets for her friends. What is the maximum
number of bracelets she can make if she wanted to use all her beads?

Answers

Answer:

5 bracelets

Step-by-step explanation:

The common factor of 10, 25 and 30 is 5

this means that each bracelet will have 2 purple, 5 yellow and 6 red.

Answer:

5 Bracelets

Step-by-step explanation:

the common factor of the numbers 10 25 and 30 is 5

5×2= 10

5× 5 = 25

5x6= 30

these numbers are also multiples of 5.

a line that is parallel to y=-3x+2 and contains the point (3,-3)

Answers

Answer:

y = -3x + 6

Step-by-step explanation:

Two lines that are parallel will have the same slope. All we need to do is find the new y-intercept.

-3 = -3(3) + b

-3 = -9 + b

6 = b

Now we can input the stuff we know and solved for back into the original formula [ y = mx + b ].

y = -3x + 6

Best of Luck!

A parallel line means our new line will have a slope equal to the original line.

The original line is in slope-intercept form, y = mx + b, where m is the slope and b is the value of the y-intercept. This tells us that the slope we want to use is m = -3

By using a slope of -3, with the given point (3,-4), we can now use the point-slope formula to find our new line.

Point-slope formula: y - y1 = m(x - x1) where m is the slope and the line passes through the point (x1,y1)

Combining our point and slope, we get:

y + 4 = -3(x - 3)

If we wish, we can rearrange this by distributing on the right hand side.

y + 4 = -3x + 9

We can then subtract 4 from both sides to get our answer in slope-intercept form

y + 4 - 4 = -3x + 9 - 4

y = -3x + 5

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