Which of the following is a rational number?

square root 97
square root 98
square root 99
square root 100

9514 1404 393

Answer:

  3, 4

Step-by-step explanation:

If x represents the integer, then the relationship required is represented by the equation ...

  x^2 = 7x -12

  x^2 -7x +12 = 0 . . . . put in standard form

  (x -3)(x -4) = 0 . . . . . factor

The values of x that make this relation true are x=3 and x=4.

The two integers are 3 and 4.

Answer:

-x²

Step-by-step explanation:

[tex](f+g)(x)\\\\5x-x^2-5x\\\\-x^2[/tex]

Answer:

A

Step-by-step explanation:

(f+g)(x) simply means you add f(x) and g(x).

[tex]-2x^2-5x+3x+3+5=(f+g)(x)[/tex]

We can then simplify by combining like terms to get

[tex]-2x^2-2x+8[/tex]

A is correct!

c) 37.7cm

Hope this helps!! Give brainliest if possible.....Have a good day.

[tex]\\ \rm\Rrightarrow \dfrac{x}{2}=3[/tex]

[tex]\\ \rm\Rrightarrow x=2(3)[/tex]

[tex]\\ \rm\Rrightarrow x=6[/tex]

And

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}+1=3[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y}{2}=3-1=2[/tex]

[tex]\\ \rm\Rrightarrow y=2(2)[/tex]

[tex]\\ \rm\Rrightarrow y=4[/tex]

Answer:

x=6 y=4

Step-by-step explanation:

Equating corresponding terms , we get

x/2=3

or, x=6

Also,

y/2+1=3

or, (y+2/2)=3

or, y+2=6

or, y=6-2

y=4

Therefore, x=6 and y=4.

Step-by-step explanation:

7

Answer:

Does the answer help you?

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right.

longest side = 12 and 12² = 144

5² + 8² = 25 + 64 = 89

Since 5² + 8² ≠ 12² , then triangle is not right → D

Answer:

D

Step-by-step explanation:

time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D

Answer:

The answer is below

Step-by-step explanation:

You first divide 27/3

= 9

you divide it cause you know how many times you have done a lap every 2 minutes.

Now to find how long you took you times 9 by 2

= 18

Therefore Jose took 18 minutes to swim 27 laps

Answer:

(-15,-15)

Explanation:

The dilation of 3 to the image means that each coordinate point is multiplied by 3. So, multiplying -5*3 gets you -15.

Answer:

5

Step-by-step explanation:

p=4 b=3 h=?

h²=p²+b²

=4²+3²

=16+9

h²=25

h=5

Answer:

2

Step-by-step explanation:

2.034

We are rounding to the ones place.

To round, look at the digit to the right of which we are rounding. In this case, it is 0.

0 is less than 5, so we just keep the 2.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

2

Step-by-step explanation:

2.034 can be rounded to 2.000, or 2. This is because the digit after the two in the tenths place, 0, is less than 5.

Brainliest, please!

Answer:

It is over 7 days

hope it helps

Answer:

x= -8

Step-by-step explanation:

Answer:

[tex]17 + 5x = - 23 \\ 5x = - 23 - 17 \\ 5x =-4 0 \\ x = \frac{ - 40}{5} \\ \boxed{x = - 8}[/tex]

Answer:

2100

Step-by-step explanation:

LCM of 70, 60, and 50?

First, find the prime factorization of each number.

70 = 2 * 5 * 7

60 = 2^2 * 3 * 5

50 = 2 * 5^2

The LCM is the product of some of the factors above. These are the factors you need to multiply together.

Choose factors that are common with the highest exponent and also factors that are not common.

Common factors: There is a 2, a 2^2, and a 2. Use the 2^2.

There is a 3. Use it.

There is a 5 and a 5^2. Use the 5^2.

There is a 7. Use it.

LCM = 2^2 * 3 * 5^2 * 7

LCM = 2100

Answer: 2100

Answer:

[tex] \frac{ \cos(80) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(70) } = 2 \\ \frac{ \cos(90 - 10) }{ \sin(10) } + \frac{ \sin(20) }{ \cos(9 0 - 20) } = 2 \\ \frac{ \sin(10) }{ \sin(10) } + \frac{ \sin(20) }{ \sin(20) } = 2 \\ 1 + 1 = 2 \\ 2 = 2 \\ \\ \frac{ \cot(40) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(115) } = 2 \\ \frac{ \cot(90 - 50) }{ \tan(50) } + \frac{ \cos(65) }{ \sin(90 + 65) } = 2 \\ \frac{ \tan(50) }{ \tan(50) } + \frac{ \cos(65) }{ \cos(65) } = 2 \\ 1 + 1 \\ = 2[/tex]

Answer:

x = 46

Step-by-step explanation:

Assuming DE is an angle bisector , then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{HD}{DG}[/tex] = [tex]\frac{EH}{EG}[/tex] , substitute values

[tex]\frac{x+4}{58}[/tex] = [tex]\frac{55}{63.8}[/tex] ( cross- multiply )

63.8(x + 4) = 3190 ( divide both sides by 63.8 )

x + 4 = 50 ( subtract 4 from both sides )

x = 46

(110011)2 = (51)10

Step by step solution

Step 1: Write down the binary number:

110011

Step 2: Multiply each digit of the binary number by the corresponding power of two:

1x25 + 1x24 + 0x23 + 0x22 + 1x21 + 1x20

Step 3: Solve the powers:

1x32 + 1x16 + 0x8 + 0x4 + 1x2 + 1x1 = 32 + 16 + 0 + 0 + 2 + 1

Step 4: Add up the numbers written above:

32 + 16 + 0 + 0 + 2 + 1 = 51.

So, 51 is the decimal equivalent of the binary number 110011.

To solve this question, we need to understand the concept of midpoint.

Doing this, we get that x is equals to 4 miles., and we find it using each of these three ways:

Segment:

C is the midpoint of the segment AB, which means that:

The distance of the initial point A to the midpoint C is the same as the distance of the midpoint C to the final point B.

[tex]AC = CB[/tex]

The distance of the midpoint to one of the endpoints is half the total distance, that is:

[tex]AC = \frac{AB}{2}[/tex]

[tex]CB = \frac{AB}{2}[/tex]

Solution:

We have to solve for x, considering one of the three relations.

Considering:

[tex]AC = 4x, CB = 12 + x[/tex]

[tex]AC = CB[/tex]

[tex]4x = 12 + x[/tex]

[tex]4x - x = 12[/tex]

[tex]3x = 12[/tex]

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

The solution for x is x = 4 miles.

A similar question is found at https://brainly.com/question/24114584

Answer:

C. multiplication property of equality

Step-by-step explanation:

3/4b = 12

Multiply each side by 4/3 using the multiplication property of equality

4/3* 3/4b = 12*4/3

b = 16

Answer:

hope it help you

Step-by-step explanation:

mark me brailiest answer

Answer:

20

Step-by-step explanation:

C(6,3) = 6!/[3!(6-3)!]

= 20

Answer:

D

Step-by-step explanation:

2ab*cos(C)=a^2+b^2-c^2

2ab*cos(C)=5^2+4^2-2^2=25+12=37

Answer:

The answer is 37

Step-by-step explanation:

Answer:

as written

[tex]\frac{6}{x} -3[/tex]  zero would not be allowed....

BUT !!! I think that your question

is ......

[tex]\frac{6}{x-3}[/tex]    then the answer is "3"

Step-by-step explanation:

Answer:

f(7) = 16

Step-by-step explanation:

f(7)  

Let x = 7

We use the first part of the function since 7 > 4

3(7) -5

21 -5

16

f(7) = 16

Answer:

B. sqrt 6 is the answer.maja

Answer:

The measure of angle x is 25 degrees.

Step-by-step explanation:

Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."

Answer:

9 1/4 inches would be left

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times10^6) \times (4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^6}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times10 \times10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times 100\times100}[/tex]

[tex]\huge\boxed{= 10,000\times100}[/tex]

[tex]\huge\boxed{= \bf 1,000,000}[/tex]

[tex]\huge\boxed{\star\ (5.1 \times 100,000) \times(4.3 \times 10^5)\ \star}[/tex]

[tex]\huge\boxed{10^5}[/tex]

[tex]\huge\boxed{= 10 \times 10 \times10 \times 10 \times 10}[/tex]

[tex]\huge\boxed{= 100\times100\times 10}[/tex]

[tex]\huge\boxed{= 10,000\times10}[/tex]

[tex]\huge\boxed{= \bf 100,000}[/tex]

[tex]\huge\boxed{\star \ (5.1 \times 1,000,000) \times (4.3\times 100,000)\ \star}[/tex]

[tex]\huge\boxed{5.1 \times 1,000,000}[/tex]

[tex]\huge\boxed{= \bf 5,100,000}[/tex]

[tex]\huge\boxed{4.3 \times 100,000}[/tex]

[tex]\huge\boxed{= \bf 430,000}[/tex]

[tex]\huge\boxed{\star\ 5,100,000 \times 430,000\ \star}[/tex]

[tex]\huge\boxed{= \bf 2,193,000,000,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 800,000}[/tex]

[tex]\huge\boxed{0.8 \times 10^5}[/tex]

[tex]\huge\boxed{= \bf 80,000}[/tex]

[tex]\huge\boxed{4.67\times10^5}[/tex]

[tex]\huge\boxed{= \bf 467,000}[/tex]

[tex]\huge\boxed{4.67 \times 10^6}[/tex]

[tex]\huge\boxed{= \bf 4,670,000}[/tex]

[tex]\huge\boxed{\textsf{Therefore, this makes the answer: \bf NONE}}\\\hug\boxed{\textsf{of the \bf ABOVE}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}}[/tex]

Answer:

B

Step-by-step explanation:

[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]