How many solutions does the following equation have?

0 = -6 | 9v - 7 |

Answer:

16 units

Step-by-step explanation:

The distance of the point P ( -2 , 6 ) to the line y = x - 8 is given by the equation D = 8√2 units = 11.3 units

The shortest distance between any two points on an infinite straight line is called the distance from a point to a line. The length of the line segment connecting the point to the closest point on the line is the perpendicular distance between the point and the line.

Let the equation of line be = Ax + By + C = 0

Let the point be P ( x₀ , y₀ )

Distance of a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )

Given data ,

Let the distance be represented as D

Now , let the point be P = P ( -2 , 6 )

Let the equation of line be A

The value of A is

y = x - 8  

Subtracting y on both sides of the equation , we get

x - y - 8 = 0   be equation (1)

Now , Distance from a point to line D = | Ax₀ + By₀ + C | / √ ( A² + B² )

Substituting the values in the equation , we get

Distance from a point to line D = | 1 ( -2 ) + ( -1 ) ( 6 ) - 8 | / √ ( 1² + 1² )

On simplifying the equation , we get

Distance from a point to line D = | -2 - 6 - 8 | / √2

Distance from a point to line D = | -16 | / √2

Distance from a point to line D = 16/√2

Multiply the numerator and denominator of the fraction by √2 , we get

Distance from a point to line D = 16√2 / 2

Distance from a point to line D = 8√2 units

Hence , the distance is 8√2 units = 11.3 units

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Answer

30

Step-by-step explanation:

It would be 30 because you can mow 6 in 4 hours you would multiply 6x5 because 4x5 is 20 and that's the total hours.

Answer:

L = 14  W = 7

Step-by-step explanation:

2L + 2W = P

2 (x - 2) + 2(x + 5) = 42

2x - 4 + 2x + 10 = 42

4x + 6 = 42

    -6.      -6

4x = 36

x = 9

9 - 2 = 7

9 + 5 = 14

Answer:

2(n + 3) - 6 is the expression that represents the final number.

Step-by-step explanation:

Answer: the expression becomes 2(x +3) - 6.

Let the number be x. Then according to the question,

Step 1 :- Adding 3

=> x + 3

Step 2 :- Multiply the sum by 2

=> 2×(x + 3)

Step 3 :- Subtract 6

=> 2(x +3) - 6

Thus the expression becomes 2(x +3) - 6.

Answer:

it depends on the value of x

Step-by-step explanation:

Eg. if x = 1

then, 3(1) < 4

and if, x = 2

then, 3(2) > 4

hope this helps

Answer: $54.00

Step-by-step explanation:

$45.00 x .20 = $9.00

$45.00 + $9.00 = $54.00

Answer:

E.

Step-by-step explanation: Unless you accidentally swapped the 5 and 4 around for D, then the answer is just E.

Answer:

[tex]Model = 6.05ft[/tex]

Step-by-step explanation:

Given

[tex]Space\ Needle = 605ft[/tex]

[tex]Scale\ Model = \frac{1}{100}[/tex]

Required

Determine the height of the model.

To do this, we simply multiply the scale model by the height of the space needle.

[tex]Model = Scale\ Model * Space\ Needle[/tex]

[tex]Model = \frac{1}{100} * 605ft[/tex]

[tex]Model = \frac{605ft}{100}[/tex]

[tex]Model = 6.05ft[/tex]

Hence, the height of the model is 6.05ft

Answer:

16.86 ft/s

Step-by-step explanation:

Given that

Speed of the carousel, s = 14 rpm

Distance from the carousel, d = 23 ft

To start with, we convert the given speed to revolution per second, so that

s = 14/60 rev/sec

To find the needed speed, we use the formula

v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD

v = πnD, and we use this to find our needed velocity

v = 3.142 * 14/60 * 23

v = 72.266 * 14/60

v = 16.86 ft/s

Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it

Answer:

your answer should be B

Step-by-step explanation:

hope you have a great day sir/ma'am

Answer:

The principle will be "40295.63". A further explanation is given below.

Step-by-step explanation:

The given values are:

Total amount,

A = 99,000

Rate of interest,

R = 3%

Time period,

T = 30 years

  = 360 months

As we know,

⇒ [tex]A=P(1+\frac{{\frac{R}{12} }}{100} )^T[/tex]

On substituting the values, we get

⇒ [tex]99000=P(1+\frac{\frac{3}{12}}{100})^{360}[/tex]

⇒ [tex]99000=P(1+\frac{\frac{1}{4} }{100}) ^{360}[/tex]

⇒       [tex]P=\frac{99000}{(1.0025)^{360}}[/tex]

⇒       [tex]P=40295.63[/tex]

The required value of principal will be p = "40295.63".

Given,

Total amount of loan is = A = $99,000

Rate of interest = R = 3%

Time period =T = 30 years

Convert into months = 12×30

                                = 360 months

According to the question,

[tex]A = P ( 1+ \frac{\frac{R}{12} }{100} )^{360}[/tex]

Put the value of A = 99,000 , T = 360 , R= 3

[tex]99,000 = P [ 1+ \frac{\frac{3}{12} }{100} ]^{360} \\\\P = \frac{99,000}{(1.0025)^{360} }[/tex]

P = 40295.63

The required value of principal p = 40295.63 .

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Answer:

-6 is the answer of your question

Answer: y = 1/2x + 1

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation

| −2n | + 10 = −50

Subtract 10 on both sides

|-2n|+10-10=-50-10

Simplify

|-2n=|=-60

No Solution

3.8907. y0.01 length wanna

Answer:

Here is ur answer.

Step-by-step explanation:

Answer:

a. [tex](1,0.25)[/tex]

b. [tex]y = 0.25x[/tex]

Step-by-step explanation:

Given

The data in the table

Solving (a): The coordinate that represents the unit rate

The unit rate is when its 1 pound

This is so because the unit rate is dollars per pounds.

Hence, the coordinate is [tex](1,0.25)[/tex]

Solving (b): Equation of the graph

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,0.25)[/tex]

[tex](x_2,y_2) = (4,1.00)[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{1.00 - 0.25}{4 - 1}[/tex]

[tex]m = \frac{0.75}{3}[/tex]

[tex]m = 0.25[/tex]

The equation is then calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 0.25 = 0.25(x - 1)[/tex]

[tex]y - 0.25 = 0.25x - 0.25[/tex]

Make y the subject

[tex]y = 0.25x[/tex]

Hence, the equation of the graph is: [tex]y = 0.25x[/tex]

Answer:

2.7 pounds

Step-by-step explanation:

16.74/ 6.20= 2.7

a) We can write 23,50,000,000 as 2350 million in standard form.

b) 25,000,000. c) The number 9 × 10⁴ is a square number.

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.

a) We have to write 2350 million in standard form.

⇒ 23,50,000,000

b) We have to write 25 × 10⁶ in standard form.

⇒ 25,000,000

c)

A. 4 × 10⁵  = 4,00,000

B. 9 × 10⁴ = 90,000 = 3² × (10²)²

This number is a square number.

C. 4 × 10³ = 4,000

D. 9 × 10³ = 9,000

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Answer:

20

Step-by-step explanation:

1

Step-by-step explanation:

it will give u the correct number of it

Answer:

3) [tex]\sqrt{2}[/tex]·[tex]\sqrt{8}[/tex]

Step-by-step explanation:

[tex]\sqrt{2}[/tex]·[tex]\sqrt{8}[/tex]= [tex]\sqrt{16}[/tex]=4 (rational number)

Answer:

tbh i think it equals 9

Step-by-step explanation:

Answer:

13.74 because of pythagorean theorem.

Answer:

1.5

Step-by-step explanation:

The expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

“One-half the sum of x and y”

Here x and y are the real numbers.

A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

The sum of the x and y is (x + y)

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

One-half the sum of x and y = 1/2(x + y)

Thus, the expression 1/2(x + y) is representing one-half the sum of x and y option (b) 1/2(x+y) is correct.

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Answer:

16.7

Step-by-step explanation:

30.48cm = 1 foot

508/30.48= 16.6667

round up to 16.7

Answer:

60 mins

Step-by-step explanation:

Answer:

3.43

Step-by-step explanation:

Answer:

1,053

Step-by-step explanation:

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