Is 6/5 an irrational number

Answer:

16√3

Step-by-step explanation:

(4√6)(2√2)

4*2√6*2

8√12=8√4*3=8*2√3

16√3

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To find the area of a rectangle or square, you multiply the length by the height.

The length is 10 meters and the width is 2 meters.

10 times 2 is 20.

The rectangle is 20 square meters.

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The required area of the rectangle is 20 square meters.

Given that,
If a rectangle's area is square meters, then the length is 10 meters and the width is 2 meters.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
area of the rectangle is given as
Area = length × width
Area = 10 × 2
Area = 20

Thus, the area of the rectangle is 20 square meters.

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Answer:

g(4)=11

Step-by-step explanation:

g(4)

g(x)=x^2-5

We know x equals 4 so substitute

g(4)=4^2-5

g(4)=16-5

g(4)=11

Answer:

3x + 8

Step-by-step explanation:

Since, WY bisects UV at Y.

Therefore,

UV = UY + YV

UV = 2x + 1 + x + 7

UV = 2x + x + 1 + 7

UV = 3x + 8

The measure of length UV given that UY = 2x +1 and YV = x+7 is 3x + 8

To bisect a given line means to divide the line into two equal parts.

If WY bisects UV at Y, then:

UY + YV = UV and UY  = YV

Given the following parameters:

UY = 2x +1

YV = x+7

Required

UV

Substitute the given parameters into the formula shown above:

2x + 1 + x + 7 = UV

Collect the like terms

2x + x + 1 + 7  UV

3x + 8 = UV

Swap

UV = 3x + 8

Hence the measure of length UV is 3x + 8

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Answer:

(5 x + 4) (x - 1)

Step-by-step explanation:

Factor the following:

x (5 x + 4) - (5 x + 4)

Hint: | Pull a common factor out of x (5 x + 4) - (5 x + 4).

Factor 5 x + 4 out of x (5 x + 4) - (5 x + 4), resulting in (5 x + 4) (x - 1):

Answer: (5 x + 4) (x - 1)

Answer:

Step-by-step explanation:

rational because 3/4 is rational.

As regards if the fraction 3/8 is a rational or irrational number, the correct answer is that it is a rational number.

Rational numbers are numbers and fractions that are finite in nature. This means that they do not keep on going with non zero digits.

When converted to a decimal, the number 3/8 is:

= 3/8

= 3 ÷ 8

= 0.375

3/8 does not repeat so it is a rational number.

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Answer: m = 2/3

Step-by-step explanation: Use the slope formula to find the slope m.

: m = slope :

: slope of a line : m = rise/run = y2-y1/x2-x1 :

: (x1,y1) : coordinates of first point in the line :

: (x2,y2) : coordinates of second point in the line :

I hope this helps you out.

Answer:

Slope = 2 / 3

Step-by-step explanation:

Slope = (y2-y1) / (x2-x1)

y2 is the y coordinate of the second ordered pair and y1 is the y coordinate of the first ordered pair. x2 is the x coordinate of the second ordered pair and x1 is the x coordinate of the first ordered pair.

          =(8-2) / (5+4)

          = 6 / 9

Slope = 2 / 3

Answer:

1/48

Step-by-step explanation:

A farmer was dividing up his one-eighth of an acre of land between his 6 children.

We are told each child got: the same amount of land. Hence,

1/8 of 1 acre =

1/8 acre of land

Divide 1/8 acre of land by 6 children

1/8 ÷ 6

1/8 × 1/6

= 1/48

Hence, the fraction of the acre of the land that each child got = 1/48

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Work Shown:

c(b) = 5b

h(b) = b+4

h(c(b)) = c(b)+4 ... replace every b with c(b)

h(c(b)) = 5b+4 ... replace c(b) on the right hand side with 5b

For the sake of simplicity, let's call "h(c(b))" as k

k = h(c(b))

k = 5b+4

that way we can use it later in the next section

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

a(b) = b^2 + 7

a(k) = k^2 + 7 ... replace b with k

a(k) = (5b+4)^2 + 7 ... plug in k = 5b+4

a(k) = 25b^2+40b+16+7 .... use FOIL rule

a(k) = 25b^2+40b+23

a( h(c(b)) ) = 25b^2+40b+23

In that last step, I replaced k with h(c(b)) so that we get to the original format your teacher wanted.

Answer:

The name of the function is linear function.

Step-by-step explanation:

A linear function is the function representing a straight line.

A linear function is used to define the relationship between a dependent variable and independent variable.

The general form of a linear function is:

y = m·x + c

Here,

y = dependent variable

x = independent variable

m = slope

c = intercept

The function provided is:

f (x) = 4·x - 2

The above function is similar to the linear function's general form.

The slope of the provided function is 4 and the intercept is -2.

Thus, the name of the function is linear function.

I hope this helps you

y+6=3x+3

y=3x-3

in formula m is y=mx+b

m=3

Answer:

3

Step-by-step explanation:

Slope is the coefficient of x, m in the form of y = mx + b

Slope of this function is 3

Answer:

The answer is A) 1 hour and 10 minutes

Step-by-step explanation:

Answer:

Can you clarify?

Step-by-step explanation:

Answer:

A is incorrect

Step-by-step explanation:

when you see -(- it makes the thing plus sign/positive

Answer:

y < -1/4 x +1

Step-by-step explanation:

Find two points on the dotted line

( 0,1) and  (4,0)

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = (0-1)/(4-0)

    = -1/4

The slope is -1/4

The y intercept is where it crosses the y axis  or 1

The equation of the line, using slope intercept form

y = mx+b

y = -1/4x +1

The line is dotted which means there is no equals, just greater than or less than.  It is shaded below which means less than

y < -1/4 x +1

Answer:

[tex]y<-\frac{1}{4}x+1[/tex]

Step-by-step explanation:

First, let's find the equation of the line.

From the graph, we can pick out two points to use: (0,1) (the y-intercept) and (4,0) (the x-intercept).

Find the slope. Let (0,1) be x₁ and y₁ and let (4,0) be x₂ and y₂

Find the slope:

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

Substitute:

[tex]m=\frac{0-1}{4-0}\\m=-1/4[/tex]

Use the slope-intercept form:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

We already know the slope is -1/4 and the y-intercept is 1. So, substitute:

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

Now, replace the equal sign with an inequality. Note that the line is dotted, so we won't use "or equal to." Also note that the blue, shaded area is below the line. Thus, we will use less than. Therefore:

[tex]y<-\frac{1}{4}x+1[/tex]

The sentences:

First, we picked out two points from the graph. Next, we used those two points to find the slope. We used the slope and one of the points to write our slope-intercept equation. Afterwards, we can determine from the graph that since the shaded area is below the dotted line, the equation must have a less than.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 34 cm

The statement

The length of a rectangle is 8 cm longer than twice the width is written as

l = 8 + 2w

Substitute this expression into the above formula and solve for the width

That's

34 = 2( 8 + 2w) + 2w

34 = 16 + 4w + 2w

6w = 18

Divide both sides by 6

w = 3

Substitute this value into l = 8 + 2w

That's

l = 8 + 2(3)

= 8 + 6

l = 14

The dimensions are

length = 14 cm

width = 3 cm

Hope this helps you

Answer:

14-9 would be 5.

Answer:

85.24 grams

Step-by-step explanation:

28.2 + 57.04 = 85.24

Answer:

a 3.889

b 3.735

c 4.013

Step-by-step explanation:

a. 45p is 0  175/45=3.889

b  420/113= 3.735

c1.2kg= 1200g /299 =4.013

/ means divide

7y+6x-14=0

Step-by-step explanation: if we know two coordinates of a line.

Answer:

6x+7y=14

Step-by-step explanation:

graphed using desmos, answer for edge 2021

Answer:

350:210:140

Step-by-step explanation:

5+3+2=10, so we need 10 equal parts

700÷10=70

5x70=350

3x70=210

2x70=140

350:210:140

Answer:

Explanation: 5:3:2 means 5+ 3+ 2 = $10 is devided into $5,$3,$2. Therefore $700 is divided in ratio (5:3:2) as 700 10 ⋅5 = $350, 700 10 ⋅ 3 = $210 and 700 10 ⋅ 2 = $140

Answer:

[tex]\bold{2\cdot10^9}[/tex]

Step-by-step explanation:

The given expression s are:

[tex]8 \cdot 10^4[/tex] and

[tex]4\cdot10^{-5}[/tex]

To find:

[tex]8 \cdot 10^4[/tex] is how many times  as large as [tex]4\cdot10^{-5}[/tex].

Solution:

Let [tex]8 \cdot 10^4[/tex] is [tex]x[/tex] times as large as [tex]4\cdot10^{-5}[/tex].

So, we can say that:

[tex]8 \cdot 10^4[/tex]  = [tex]4\cdot10^{-5}[/tex][tex]\times[/tex] [tex]x[/tex]

OR

[tex]x= \dfrac{8\cdot 10^4}{4\cdot 10^{-5}}[/tex]

Let us have a look at the formula for exponents:

[tex]\dfrac{x^p}{x^q} = x^{p-q}[/tex]

Here we have:

[tex]x=10\\p=4\ and\\q=-5[/tex]

Solving the expression using above formula:

[tex]\Rightarrow x= \dfrac{8}{4}\cdot 10^{4-(-5)}} = \bold{2\cdot10^9}[/tex]

So, Let [tex]8 \cdot 10^4[/tex] is [tex]\bold{2\cdot10^9}[/tex] times as large as [tex]4\cdot10^{-5}[/tex]

Answer: 5 is your answer!

Step-by-step explanation:

Step-by-step explanation:

The third one is not clear hence i couldn't answer it the rest i did

Answer:

There is no picture for the help you need :(

Answer:

44 ft

Step-by-step explanation:

We are given that;

Speed; v = 60 mph

Reaction time;t = 0.5 s

Now, we know that;

Distance = speed x time

Since time is in seconds, let's convert speed to mph to ft/s

From conversion,

1 mph = 1.46667 ft/s

So, 60 mph would give;

60 × 1.46667 ≈ 88 ft/s

Thus, distance his car travels during his reaction time is;

Distance = 88 × 0.5 = 44 ft

Answer:

31, 65, 146

Step-by-step explanation:

math

Answer:

17

Step-by-step explanation:

x^2 + 2y^2

Let x=3 and y =2

3^2 + 2 ( 2)^2

Exponents first

9 + 2* 4

Then multiply

9+8

Then add

17

Answer:

17

Step-by-step explanation:

● x^2 + 2y^2

Replace x by 3 and y by 2

● (3)^2 + 2×(2)^2

● 9 + 2 × 4

● 9 + 8

● 17