What is the distance between 3x - 5y + 3 =0 and 6x - 10y -12 =0

Answers

Answer 1

9514 1404 393

Answer:

  (9/34)√34 ≈ 1.543

Step-by-step explanation:

The second equation can be rewritten as ...

  6x -10y -12 = 0

  3x -5y -6 = 0

  3x -5y = 6

__

The formula for the distance from point (x, y) to line ax+by+c=0 is ...

  d = |ax+by+c|/√(a²+b²)

Then the distance from a point to the first line is ...

  d = |3x -5y +3|/√(3² +(-5)²)

We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...

  d = |6 +3|/√34

Simplifying and rationalizing the denominator gives a distance of ...

  d = (9/34)√34 ≈ 1.543

What Is The Distance Between 3x - 5y + 3 =0 And 6x - 10y -12 =0

Related Questions


A local hamburger shop sold a combined total of 805 hamburgers and cheeseburgers on Wednesday. There were 55 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?

Answers

375 hamburgers
805-55=750
750/2=375

Answer: 375 hamburgers were sold on Wednesday

Step-by-step explanation: 430 cheeseburgers were sold and 375 hamburgers were sold total of 805 combined

Write the standard equation of a circle with center (-1, 4) and radius 5

Answers

Answer:

(x + 1)² + (y - 4)² = 25

Step-by-step explanation:

The general equation for a circle is given by the formula;

x² + y² + 2hx + 2ky + c = 0 ......equation 1.

Where the center is C(-h, -k)

Also, the standard form of the equation of a circle is;

(x - h)² + (y - k)² = r² ......equation 2.

Where;

h and k represents the coordinates of the centre.

r represents the radius of the circle.

Given the following data;

h = -1

k = 4

r = 5

Substituting into eqn 2, we have;

(x - {-1})² + (y - 4)² = 5²

Simplifying further, we have;

(x + 1)² + (y - 4)² = 25

Can any one help me on this

Answers

point D is the answer

________

LM is the midsegment of ABC is AC is 28 centimeters long , how long is LM?

Answers

Answer:

LM = 14

Step-by-step explanation:

LM = AC/2

LM = 28/2

LM = 14

Hope this helps!

The measure of LM is 14 cm.

What is Mid - segment?

A triangle midsegment is a line segment that connects the midpoints or centres of two opposite or adjacent triangle sides.

The midsegment theorem asserts that a line segment connecting the midpoints of any two sides of a triangle is parallel to and half of the third side.

According to mid segment is

LM = AC/2

We have AC = 28 cm

Now, substitute the value of AC we get

LM = 28/2

LM = 14

Thus, the measure of LM is 14 cm.

Learn more about Mid- segment here:

https://brainly.com/question/15381486

#SPJ5

What is 15 percent in 660

Answers

Answer:

99

Step-by-step explanation:

10% = 66

5% = 33

66+33=99

99 because 660/100=6.6 6.6x15

Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)=____
X P(x)
3 0.25
4 ?
5 0.39
6 0.15

Answers

Answer:  0.21

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

Explanation:

All of the values in the P(x) column must add to 1.

The value 1 in probability means 100%

Let y be the missing value in the table

0.25+y+0.39+0.15 = 1

y+0.79 = 1

y = 1-0.79

y = 0.21

The probability that x = 4 is 0.21

In other words, P(4) = 0.21

Or that we have a 21% chance of having x = 4 happen.

Find the first principle, the derivatives of: (any one)

[tex]1 \sqrt{x} [/tex]


Answers

This is the answer 1/2x^1/2

Express tan J as a fraction in simplest form

Answers

Answer:

Tan J = 3/4

Step-by-step explanation:

Recall, SOH CAH TOA

TOA means:

Tan J = Opp/Adj

Reference angle = <J

Opposite = 15

Adjacent = 20

Plug in the vakues

Tan J = 15/20

Simplify

Tan J = 3/4

What is the y intercept of the function f (x) = -2/9x + 1/3 ?? Please help ! :0 :)

Answers

y intercept of the function f (x) = -2/9x + 1/3

is

[tex] \frac{1}{3} [/tex]

OPTION C

Please I need help and thx
please show how you did it

Answers

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

[tex]2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207[/tex]

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

[tex]34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81[/tex]

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

\begin{gathered}2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207\end{gathered}

2590.67=300∗

.01275

1−(1+.01275)

−x

.110103476=1−1.01275

−x

.889896525=1.01275

−x

log

1.01275

.889896525=−x

x=9.207

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

\begin{gathered}34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81\end{gathered}

34500=x

.00325

1−(1.00325)

−60

34500=54.43234738x

x=633.81

Finally, the amount we save is just the difference

633.81-625=8.81

What is the value of x?

Answers

Answer:

x=15 degree

Step-by-step explanation:

5x +5+6x -1+3x+5x+3+4x+8 =360 degree (exterior angles of pentagon is 360 degree)

23x +15 =360

23x=360-15

x=345

x=345/23

x=15 degree

The following are the last 10 run scores Colin got in cricket:
34, 26, 11, 9, 20, 19, 31, 6, 33, 35
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 29 runs.
What is his new mean score?
Give your answers as decimals.
HELPPPO

Answers

Answer:

a)18.8

b)20

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

(PLEASE HELP I JUST WANNA KNOW HOW TO DO IT WILL GIVE REWARDS.) Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.

square root of the quantity x minus 2 end quantity plus 8 equals x

Answers

Hope my answer helps uh ✌️

4/9-1/2+1/3 simplifying the expression?​

Answers

LCD = 18

Multiplying numerators and denominators to get the LCD in all fraction denominators. Then rewriting the equation with the equivalent fractions With like denominators we can operate on just the numerators

The answer is 5/18

Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer

Answers

Answer:

The second integer is greater than the first.

Step-by-step explanation:

Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.

Answer:

c

Step-by-step explanation:

Geometry help pls and thank you :)


What is the area of this triangle?



Enter your answer in the box.

(answer) units²

Answers

Answer:

12

Step-by-step explanation:

bh/2

base is 8

height is 3

24/2

12

Answer:

12

Step-by-step explanation:

The formula to find the area of a triangle is the following,

[tex]A=\frac{b*h}{2}[/tex]

Where (b) and (h) are the base and height of the triangle. In this situation, one can see that the base (CB) equals (8) units. One can attain this number by counting the boxes between point (C) and point (B). The height is (3). This number is the distance from the point (A) to the side (CB). Substitute these values into the formula and solve for the area.

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{8*3}{2}[/tex]

Simplify,

[tex]A=\frac{8*3}{2}\\\\A=\frac{24}{2}\\\\A=12[/tex]

Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.

Of the tables shown here, this is the case only for the one shown below. It has ...

  y = 1.4x

Answer:

The middle one

Step-by-step explanation:

The middle one

y = (7/5)x

 x       y

 5      7

20    28

60    84

How many liters is 350 milliliters?

A. 3500 L
B. 3.50 L
C. 0.350 L
D. 0.035 L

Answers

Answer: C

Step-by-step explanation:

Step-by-step explanation:

1 L equals to 1000 mL

so 350 mL equals to 0.35L

The answer is C

Evaluate 64^1/2 times 10^-2

Answers

Answer:

0.188

Step-by-step explanation:

64^1/2 times 10^-2 can also be written as:

√64 x √1/10

8 x 0.31

0.188

Step-by-step explanation:

here is your answer

here is your answer

What is the thirteenth number in the Fibonacci sequence

Answers

Answer:

The 13th number in the Fibonacci sequence is 144.

Step-by-step explanation:

The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

[tex]\huge\boxed{\sf 144}[/tex]

A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.

[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]

hello guys can you help me with this?​

Answers

Answer:

Step-by-step explanation:

1. Title of the graph → Comparison of the Plant Growth

2. y-axis represents the height of the plants in centimeters.

3. On day 2:

   Height of plant A (plant outside) = 5.1 cm

   Height of plant B (plant near the window) = 2.25 cm

4. Plant outside shows great increase in the height.

    On day 5,

    Height of the plant outside = 6.75 cm

    Growth in height from day 2 to day 5 = 6.75 - 5.1

                                                                   = 1.65 cm

    Height of the plant near the window = 2.5 cm

    Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25

                                                                                        = 0.25 cm

    Therefore, plant outside shows the great increase in height.

5. Plant near the window grew 0.25 cm in height.

State if the two triangles are congruent. If they are, prove by using a two column proof!!!

Answers

Answer:

Step-by-step explanation:

There are four axioms to prove the triangles are contruent.They are

SSS(side side side axiom)

SAS(side angle side axiom)

AAS(angle angle side axiom)

ASA(angle side angle axiom)

RHS (right angle hypotenuse side axiom)

here two triangles are congruent by RHS axiom

A candle is in the shape of a cylinder. The candle has a diameter of 6 inches and a height of 5 inches What is the volume of the candle? (Use 3.14
A. 94.2 cubic inches
B. 141.3 cubic inches
C. 150.7 cubic inches
D. 188.4 cubic inches​

Answers

Answer: B. 141.3 cubic inches

el vector desplazamiento de un objeto en movimiento inicialmente en el origen tiene una magnitud de 12.5 cm y está en un ángulo de 210 grados en relación con el eje de las x en determinado instante Cuáles son las coordenadas del objeto en ese instante ? una pelota rueda con velocidad constante a 2.40 m por segundo con un ángulo de 37 grados en relación al eje de las x del cuadro cuadrante si sabemos que la pelota está en el origen en tiempo igual iniciar cuáles son sus coordenadas x 1.75 segundos

Answers

Answer:

hey mate

which laungage is this

How many sides does a regular polygon have if each exterior angle measures
20?

Answers

Answer:

18 sides

Step-by-step explanation:

Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides

In the equation 2x+4=y, what is the value of y when x=5?

Answers

9514 1404 393

Answer:

  y = 14

Step-by-step explanation:

Put the value of x where x is and do the arithmetic.

  2x + 4 = y

  2·5 + 4 = y . . . . . . substitute for x

  10 + 4 = y . . . . . . . multiply

  14 = y . . . . . . . . . . add

The value of y is 14 when x = 5.

i have 6 eggs, i broke 2, i cooked 2, and i ate 2, so how many are left?​

Answers

Answer:

I can't tell if this is a joke or not haha but you would have four eggs left because you broke two, cooked and ate the same two eggs.

what is the vertex of y=x²+14x-9 ​

Answers

the vertex of y=x^2+14x-9 is
answer: (-7,-58)
(-7,-58) is the correct choice for u

Find the zeros of ƒ(x) = x3 + 6x2 + 8x.

Answers

Answer:

(-4,0), (2,0), (0,0)

Answer:

(0,0) (-2,0) (-4,0)

Step-by-step explanation:

Graph the intersects (x) to find the zeros. Replace y with 0 and solve for x.

Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points) (10 points)

Answers

Answer:

Section A = 18

Section B = 288

Section B is 16 times greater than A

Step-by-step explanation:

Given the function :

g(x) = 6(4)^x

x = 0 to x = 1

At x = 0

g(0) = 6(4)^0 = 6(1) = 6

At x = 1

g(1) = 6(4)*1 = 24

Average rate of change for Section A = g(1) - g(0) = 24 - 6 = 18

Section B ;

x = 2 ; x = 3

g(x) = 6(4)^x

x = 2 to x = 3

At x = 2

g(0) = 6(4)^2 = 6 * 16 = 96

At x = 3

g(1) = 6(4)^3 = 6(4*4*4) = 384

Average rate of change for Section B = g(3) - g(2) = 384 - 96 = 288

Number of times B is greater than A

Section B / section A = 288 / 18 = 16 times

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