Why is 3 a rational number

Answer:

Step-by-step explanation:

Let the sides be x and 3/4x, then the sum of areas is:

The sides of squares are 8 units and 8*3/4 = 6 units

Answer:

4.5

Step-by-step explanation:

Graph y=3x then find two points from the graph, then find the distance between them two and round 4.47 to 4.5

Answer:

3.2

Step-by-step explanation:

the answer was in the back of my textbook

Answer:

[tex]x = 3 \sqrt{2} [/tex]

y= 3

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

there is no solution because 9 is the only number between 8 and 10 . if you are wondering that there could be a demical too but let me clear that in inequality there is no demical nymber3. thank you hope it could help

Answer:

55 mins

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Transformation involves changing the position of points in the coordinate plane

The sequence of two transformations is (d) reflecting about the line y = -1, followed by translating 8 units to the right​

The vertices of ABC are given as

[tex]A = (-4,3)[/tex]

[tex]B = (-1,5)[/tex]

[tex]C = (-1,2)[/tex]

First the vertices of ABC are reflected across the line y = -1.

The rule of this transformation is:

[tex](x,y) \to (x,-2-y)[/tex]

So, the vertices of ABC after reflection across the line y = -1 are

[tex]A = (-4,-5)[/tex]

[tex]B = (-1,-7)[/tex]

[tex]C = (-1,-4)[/tex]

Next, the vertices are shifted 8 units right.

The rule of this transformation is:

[tex](x,y) \to (x + 8,y)[/tex]

So, the vertices of ABC after this horizontal shift are

[tex]A' = (-4 + 8,-5)[/tex]

[tex]A' = (4,-5)[/tex]

[tex]B' = (-1 + 8,-7)[/tex]

[tex]B' = (7,-7)[/tex]

[tex]C' = (-1 + 8,-4)[/tex]

[tex]C' = (7,-4)[/tex]

Hence, the sequence of transformation is (d)

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Answer:

b hope it helps

Step-by-step explanation:

Answer:

c=14•366

14•4 to the nearest tenth

Step-by-step explanation:

using Pythagoras theorem

c^2=a^2+b^2

c^2=7•9^2+12^2

c^2=62•41+144

c^2=206•41

take the square roots of both sides

c=14•3669

14•4 to the nearest tenth

Answer:

24

Step-by-step explanation:

Answer:

Part 1)

[tex]=12a^5-6a^4-5a^3-24a^2+12a-7[/tex]

Part 2)

[tex](2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7[/tex]

Step-by-step explanation:

Part 1)

We would like to multiply:

[tex](3a^3-2a-7)(4a^2-2a+1)[/tex]

Distribute each term from the first group into the second group. So:

[tex]=3a^3(4a^2-2a+1)-2a(4a^2-2a+1)-7(4a^2-2a+1)[/tex]

Distribute further:

[tex]=(12a^5-6a^4+3a^3)+(-8a^3+4a^2-2a)+(-28a^2+14a-7)[/tex]

Combine like terms:

[tex]=(12a^5)+(-6a^4)+(3a^3-8a^3)+(-28a^2+4a^2)+(-2a+14a)+(-7)[/tex]

Simplify:

[tex]=12a^5-6a^4-5a^3-24a^2+12a-7[/tex]

Part 2)

We would like to divide:

[tex](2x^3-10x^2+5x+14)\div(x-2)[/tex]

Using long division.

Please refer to the attached document.

For the first step, x goes into 2x³ 2x² times. Hence, we multiply our divisor by 2x².

Next, x goes into -6x^2 -6x times. Hence, we multiply our divisor by -6x.

Finally, x goes into -7x -7 times. So, we multiply our divisor by -7 and we simplify.

Therefore:

[tex](2x^3-10x^2+5x+14)\div(x-2)=2x^2-6x-7[/tex]

Answer:

I think this is a true or false if so the answer is true:)

Answer:If its true or false the answer is FALSE

Step-by-step explanation: Just took the test

Answer:

-5, 6 when you reflect over the x axis you have to flip the sign of the y point.  

Answer: the second and third quadrent

Step-by-step explanation:

-5-6 is a quadrent three number so if you go up it reflects on -5,6 on quadrent 2

Answer:

4,14,15,16,17,30

Step-by-step explanation:

sum of two sides  > third side

Difference of two sides < third side

17+14=31> third side

17-14=3 < third side

3<third side <31

14,17,4,30,15,16

Answer:56

Step-by-step explanation:

Step-by-step explanation:

14 < 6×?

6×3=18

therefore anything above 3 multiplied by 6 would be greater in value than 14

Answer:

600,000 seconds

Step-by-step explanation:

$5 --- 30 seconds

$100,000 --- [tex]\frac{100,000}{5}[/tex] × 30 seconds = 600,000 seconds

Answer:

A.) a line perpendicular to RS through S

Explanation:

a compass has perpendicular lines, not parallel.

and the image shows perpendicular lines

Answer:

I and II are the correct answer

pls follow me on brainly for further help ☺️

The statements that are true about congruent triangles :

I. Each of the three pairs of corresponding sides are of equal length.

II. Each of the three pairs of corresponding angles are of equal measure.

"Two triangles are congruent if and only if it obeys following two conditions.

- three corresponding sides are equal  

- all the three corresponding angles are equal in measure"

For given example,

Consider two triangles ABC and PQR.

If i) ∠A = ∠P, ∠B = ∠Q, ∠C = ∠R

  ii) Also, AB = PQ, BC = QR and AC = PR

then ΔABC and ΔPQR are congruent triangles and it is written as ΔABC ≅ ΔPQR

Therefore, the statements that are true about congruent triangles :

I. Each of the three pairs of corresponding sides are of equal length.

II. Each of the three pairs of corresponding angles are of equal measure.

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the answer is -0.8

We had to change 6h and 30m to a decimal which makes 6.5 and when you divide -5.2 and 6.5 you get the answer -0.8.

I dont know part A but I did sum like this in class today

The constant of temperature change if, the temperature changed at a constant rate between 12 P.M. (noon) and 6:30 P.M. is  -0.8.

One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

The temperature changed at a constant rate between 12 P.M. (noon) and 6:30 P.M.,

Change the 6h and 30 minutes to decimal as shown below,

6 + 30 / 60

6.5 hours

Divide the temperature change -5.2 by time as shown below,

The temperature change = -5.2 / 6.5

The temperature change = -0.8

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Answer:

3 1/2 cups does not equal to 1 liter

Games won divided by games played.

We must convert 60/75 to a decimal.

So, 60 ÷ 75 = 0.80.

Now convert 0.80 to a percent.

So, 0.80 becomes 80%.

Done.

Given:

Selling price of a machine = 7000/-

Gross loss = 20%.

To find:

The cost and gross loss.

Solution:

Let x be the cost of machine.

According to the question,

[tex]x-20\%\text{ of }x=7000[/tex]

[tex]x-\dfrac{20}{100}x=7000[/tex]

[tex]x-0.2x=7000[/tex]

[tex]0.8x=7000[/tex]

Divide both sides by 0.8.

[tex]x=\dfrac{7000}{0.8}[/tex]

[tex]x=8750[/tex]

So, the cost of the machine is 8750/-.

Now,

[tex]\text{Gross Loss}=\text{Cost}-\text{Selling price}[/tex]

[tex]\text{Gross Loss}=8750-7000[/tex]

[tex]\text{Gross Loss}=1750[/tex]

Therefore, the gross loss is 1750/-.

Answer:

X= -5

Step-by-step explanation:

do you need steps?

5x +7/2 = 3x/2 -14

10x+7/2 = 3x-28/2

2(10x+7) = 2(3x-28)

20x +14 = 6x - 56

20x -6x = -56 - (14)

14x = -70

x = -70/14

x = -5

Answer:

Yes

Step-by-step explanation:

First, we need to put them in the same terms.

30/60... 30 is half of 60 so it can be simplified to be written as 1/2, 2/4, 4/8, or 5/10.

5/10 is smaller than 9/10

9/10 is bigger than 5/10

9/10 is bigger than 30/60

Answer:

x = -2 and 6

Step-by-step explanation:

The quadratic equation is not well written. The correct equation is expressed as x²-4x-12 = 0

Factorize

x²-6x+2x-12 = 0

x(x-6)+2(x-6) = 0

(x+2)(x-6) = 0

x+2 = 0 and x-6= 0

x = -2 and 6

Answer:

Left-hand side: [tex]\displaystyle -\frac{1}{2}\, \ln(5)[/tex].

Right-hand side: [tex]\displaystyle \frac{1}{2}\, \ln(5) - \ln(5)[/tex].

Step-by-step explanation:

Apply the logarithm power rule: [tex]\ln \left(x^{a}\right) = a\, \ln (x)[/tex] for all [tex]x >0[/tex].

This property is not only true for logarithm to the base [tex]e[/tex], but for other bases, as well.

Take the logarithm (to the base [tex]e[/tex]) of the left-hand side of this equation:

[tex]\displaystyle \ln \left(5^{-1/2}\right) = (-1/2)\, \ln(5)[/tex].

For the right-hand side of this equation, consider the logarithm quotient rule:

[tex]\displaystyle \ln \left(\frac{a}{b}\right) = \ln(a) - \ln (b)[/tex] for all [tex]a> 0[/tex] and [tex]b > 0[/tex].

Indeed, on the right-hand side of this equation, [tex]\sqrt{5} > 0[/tex] and [tex]5 > 0[/tex]. Therefore:

[tex]\displaystyle \ln\left(\frac{\sqrt{5}}{5}\right) = \ln\left(\sqrt{5}\right) - \ln(5)[/tex].

This expression could be further simplified. Notice that [tex]\sqrt{x}[/tex] is equivalent to [tex]x^{1/2}[/tex] for all [tex]x \ge 0[/tex]. (Think about how [tex]\sqrt{x} \cdot \sqrt{x} =x[/tex] whereas [tex]x^{1/2} \cdot x^{1/2} = x^{(1/2) + (1/2)} = x[/tex].)

Therefore, [tex]\ln \left(\sqrt{5}\right)[/tex] would be equivalent to [tex]\ln\left(5^{1/2}\right)[/tex]. Apply the logarithm power rule to show that [tex]\displaystyle \ln\left(5^{1/2}\right) = \frac{1}{2}\, \ln(5)[/tex].

[tex]\begin{aligned} \text{R.H.S.} &= \ln\left(\frac{\sqrt{5}}{5}\right) \\ &= \ln\left(\sqrt{5}\right) - \ln(5) \\ &= \frac{1}{2}\, \ln(5) - \ln (5) = -\frac{1}{2}\, \ln(5)\end{aligned}[/tex].

Indeed, the left-hand side of this equation matches the right-hand side.

Answer:

5/6

Step-by-step explanation:

5/10 + 2/6

First find the common denominator by multiplying 5/10 by 3/3

5/10*3/3=15/30

Then to get to that same denominator multiply 2/6 by 5/5

2/6*5/5=10/30

Answer:

15/30+10/30= 25/30

Then divide 25/30 by 5/5

25/30 / 5/5 = 5/6