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

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]

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

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

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]

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.

point D is the answer

________

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

Answer:

18 sides

Step-by-step explanation:

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

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

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:

Answer:

99

Step-by-step explanation:

10% = 66

5% = 33

66+33=99

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

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

Answer: 375 hamburgers were sold on Wednesday

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

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

is

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

OPTION C

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.

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

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

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.

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

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

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.

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

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.

Answer:

hey mate

which laungage is this

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.

Hope my answer helps uh ✌️

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