Qustion 21
Ranjan walks a distance of 5 km towards East,
then turns to his right and walks for 4 km. He
then turns left and walks for 4 km. At this
point he turns to his right and walks for 2 km.
He turns right and walks 1 km. How many
kilometers is he from the starting point?
A 10 km

Answer:

Factored is 3(3x+1)

Simplified is 9x+3

I'm not sure which one you need.

Answer:

x= -15

y= -3

x/y

=-15/-3

=5

option A is correct

Answer:

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Step-by-step explanation:

Step(i):-

The equation of the straight line passing through the point ( 3,1 )

                      [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                     [tex]\frac{3}{a} + \frac{1}{b} = 1[/tex]

                    3b + a = ab ...(i)

Given the difference of length is  4

                      a-b = 4

                       b =  a - 4 ...(ii)

Step(ii):-

substitute b=a-4 in equation (i) , we get

                3( a-4 ) + a = a (a-4)

               3a - 12+ a =  - 4 a + a²  

                 a² - 8 a + 12 =0

Find the factors of 'a'

                 a² - 6a -2a +12 =0

                a (a-6) -2(a-6) =0

             a =2 and a=6

                  we know that a-b =4

             put       a = 2

                          2 - b =4

                            b = -2

The equation of the straight line whose intercepts on the axes

                    [tex]\frac{x}{a} + \frac{y}{b} = 1[/tex]

                   [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

The equation of the straight line

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Verification:-

The equation of the straight line passing through the point (3,1)

                      [tex]\frac{x}{2} + \frac{y}{-2} = 1[/tex]

Put x =3 and y=1

                  [tex]\frac{3}{2} + \frac{1}{-2} = 1\\\frac{2}{2} =1\\[/tex]

                 1 = 1

∴  The point (3,1) is satisfies the equation

Answer:

b and c

Step-by-step explanation:

took test

Answer:

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

Step-by-step explanation:

Answer:

C. its 7.5 per land

Step-by-step explanation:

Answer:

7.50 per lawn

Step-by-step explanation:

for two lawns it is 15 dollars and 15/2=7.50

so for 1 lawn it is 7.50

Answer:

[tex] {a}^{4} - 9 \\ = {a}^{ {2}^{2} } - {3}^{2} \\ let \: {a}^{2} \: be \: y \\ = {y}^{2} - {3}^{2} \\ from \: difference \: of \: squares \\ = (y - 3)(y + 3) \\ substitute \: for \: y \\ = ( {a}^{2} - 3)( {a}^{2} + 3)[/tex]

Answer:

100 POINTS! (50 split up) PLSSSSSSSSSS HELP!!! I REALLY NEED IT SO MUCH :( I PROMICE2 g. Describe your results in terms of precision and accuracy. Explain your answer in a paragraph for the best grade.

Step-by-step explanation:

Answer:

a) 1.25  , 2

b)  A

Step-by-step explanation:

a) x=1    y = 1/4 x1³ - 1² + 2 = 1 1/4 = 1.25

   x=4   y = 1/4 * 64 - 16 + 2 = 2

b)  curve A

Answer:

a) i) when x = -2, y = -4

ii) when x = -1, y = 0.75

iii) when x = 1, y = 1.25

iv) when x = 4, y = 2

b) graph A

Step-by-step explanation:

[tex]y = \frac{1}{4} {x}^{3} - {x}^{2} + 2[/tex]

[tex]y = \frac{1}{4} {( - 2)}^{3} - {( - 2)}^{2} + 2[/tex]

[tex]y = - 2 - 4+ 2[/tex]

[tex]y = - 4[/tex]

[tex]y = \frac{1}{4} {( - 1)}^{3} - {( - 1)}^{2} + 2[/tex]

[tex]y = - \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{3}{4} \: or \: 0.75[/tex]

[tex]y = \frac{1}{4} {( 1)}^{3} - {( 1)}^{2} + 2[/tex]

[tex]y = \frac{1}{4} - 1 + 2[/tex]

[tex]y = \frac{5}{4} \: or \: 1.25[/tex]

[tex]y = \frac{1}{4} {( 4)}^{3} - {( 4)}^{2} + 2[/tex]

[tex]y = 16 - 16 + 2[/tex]

[tex]y = 2[/tex]

Hi there.

To find the value of f(-5), we need to substitute x = -5 in the equation.

[tex]f( - 5 ) = 4(3 - ( - 5))[/tex]

Now then, know the basic rules of multiplying in the negative.

When you multiply the negative with the negative, you will get the positive.

Thus, - (-5) = 5

[tex]f( - 5) = 4(3 + 5) \\ f( - 5) = 4(8)[/tex]

Then distribute 4 inside.

[tex]f( - 5) = 32[/tex]

Therefore, the answer is f(-5) = 32

Answer:

The trigonometric functions include the following 6 functions: sine, cosine, tangent, cotangent, secant, and cosecant. For each of these functions, there is an inverse trigonometric function. The trigonometric functions can be defined using the unit circle.

Step-by-step explanation:

Answer:

0.82

Step-by-step explanation:

Answer:

Sorry Bro I can't understand

Answer:10

Step-by-step explanation:and a slope 2/12 roof slope means your roof has 2 inches of vertical drop for every 12 inches of horizontal distance.Aug

The equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of line passing through the points (12, 6) and (0, -4)

Slope = -4-6/0-12

=-10/-12

=5/6

Now let us find y intercept passing through (12, -2)

-2=5/6(12)+b

-2=10+b

-12=b

Hence,  the equation of the line that is parallel to the given line and passes through the point (12, -2) is y = 5/6(x)-12

To learn more on slope of line click:

https://brainly.com/question/16180119

#SPJ7

Answer:

Step-by-step explanation:

V≈1615.97m³

Answer:

1615.968 m^3

Step-by-step explanation:

V = h/3 * π * r^2

V = 5.6/3 * π * 16.6^2

V = 1615.968 m^3

Answer:

answer is c

Step-by-step explanation:

Mark my answer as brainliest

AB = 17

CD = 25

x = 17

hope this helps!!

Answer:

17

Step-by-step explanation:

The correct answer would be 17!

Given:

(x+2) is a factor of polynomial f(x).

To find:

The correct statement.

Solution:

If (x-c) is a factor of polynomial f(x), then c is a zero of the polynomial and f(c)=0.

We have, (x+2) is a factor of polynomial f(x).

On comparing (x-c) and (x+2), we get

[tex]c=-2[/tex]

It means, -2 is a zero of the polynomial f(x) and the value the polynomial at x=-2 is 0, i.e.,

[tex]f(-2)=0[/tex]

Therefore, the correct option is d.

Answer:

The extremes are 5 and 64.

The middle terms are 80 and 4.

Step-by-step explanation:

Given the proportion:

5 : 80 :: 4 :64

To find:

The extreme and middle terms of the given proportion.

Solution:

The given statement is in proportion if and only if the product of extremes i.e. the numbers at both the ends is equal to the product of middle numbers.

OR

First number [tex]\times[/tex] Fourth number = Second number [tex]\times[/tex] Third number

First of all, let us check the two products.

5 [tex]\times[/tex] 64 = 320

And the second product:

80 [tex]\times[/tex] 4 = 320

The product is same therefore, the given numbers are in proportion.

The extreme terms are the first and the fourth numbers.

i.e. The extremes are 5 and 64.

The middle terms are 80 and 4.

Answer:

A: The cube of a number less than the square root of the number.

Step-by-step explanation:

None

since she didn't have any money in there when she first started, and she puts it in every month, the correct answer is

y = 230x

hope this helps!!

Answer/Step-by-step explanation:

Given, y = k√x

Let's find the following:

a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x

Thus:

16 = k√64

16 = k*8

Divide both sides by 8

16/8 = k

k = 2

b. To find F, substitute k = 2, and x = 100 into y = k√x

Thus:

y = 2√100

y = 2*10

y = 20

F = 20

c. To find x, substitute k = 2, and y = 10√2 into y = k√x.

Thus:

10√2 = 2√x

Divide both sides by 2

(10√2)/2 = √x

5√2 = √x

Square both sides

x = (5√2)²

x = 25*2

x = 50

d = 50

Answer:

Additive property of length

Step-by-step explanation:

Additive property of length

Answer:

Solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Step-by-step explanation:

We need to solve the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex]

According to DMAS rules first we solve brackets and then we will multiply the results found after solving brackets

So,

[tex](6.2 - 3.51) \times (11.7 \times 0.3)\\=2.69 \times 3.51\\=9.4419[/tex]

First we solved the terms (6.2-3.51) and get 2.69 and by solving (11.7 x 0.3) we get 3.51

Now, we will multiply 2.69 with 3.51 to get the final result.

The final result is 9.4419

So, solving the expression: [tex](6.2 - 3.51) \times (11.7 \times 0.3)[/tex] we get 9.4419

Answer:

14

Step-by-step explanation:

10+4=14

Answer: 14

Step-by-step explanation: 4 + 10 = 14 because , THE 10 is UP the 4 ADDS up so since it’s 4 +10 it would be 14. Cause you add 4 UP and equals 14.

Answer:

PR=21

Step-by-step explanation:

make x+1 and 5x-79 equal bec it is isosceles triangle. So x+1=5x-79. Then isolate x.

4x=80

x=20

Plug x in the PR equation or PQ equation

5(20)-79

Which equals 21