MATHEMATICS HIGH SCHOOL

Simplify the expression and tell if the answer is a rational or irrationalnumber.
√144
O 12; rational number
O 12, irrational number
O 144; rational number
144; irrational number
O 72; rational number
72; irrational number

Answers

Answer 1

Answer:

Answer:

The expression √144 simplifies to 12.

So, the answer is 12, which is a rational number

Step-by-step explanation:

because it can be expressed as a fraction of two integers (12/1).

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Find the unit rate in feet per second 300 yards over 1 minute

Which one is smaller than 2500ml and 25ml

Answers

25 ml is smaller than 2500 ml

Find the domain of the following function:

\[ y=\sqrt{x} \]
\[y= \sqrt{x+3} \]

Answers

Firstly we have to determine the domain of the function $y=√(x)$

The domain of the function is the set of values for which the function is real and defined.

In the function $y=√(x)$ we can clearly observe that for the negative values of x , the value of y will not be real.

So, the domain for this function is $[0,\infty )$ or $x\geq 0$ .

The second function is $y=√((x+3))$

In this function we can clearly observe that for the values of x less than -3, the function is not real.

So, the domain for this function is $[-3,\infty )$ or $x\geq -3$

$y=√(x)$

As we know, the square root of negative numbers.

Hence, the x must be a positive value and greater than 0.

So, x:x∈[0,∞)

$y=√(x+3)$

$x+3\geq 0$

subtracting 3 from both sides

$x\geq -3$

x:x∈[-3,∞)

If trapezoid JKLM is translated according to the rule (x, y) → (x + 8, y − 3), what are the coordinates of point L'?

Answers

The coordinate of point L' after translation is L'(6, -8)

Translation of coordinates

Given the coordinates of JKLM as J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5)

Using the translation rule

(x, y) → (x + 8, y − 3)

The coordinate of point L' after translaton will be;

L' = (-2+8, -5-3)
L' = (6, -8)

Hence the coordinate of point L' after translation is L'(6, -8)

Learn more on translation here: brainly.com/question/12861087

Another answer: According to the figure, the coordinates of JKLM are, J(-7,-2), K(-4,-2), L(-2,-5) and M(-9,-5) JKLM is translated to J'K'L'M' by means of the rule (x+8, y-3), we should know that (x, y) are coordinates of the pre image, to find the coordinates of each image we have (x', y') such that x' =x+8, and y' =y-3. Therefore, the coordinates of L' can be found by L'(-2+8, -5-3)=(6, -8) the final answer is L'(6, -8).

The width of a rectangle is 4 less than half the length. If represents the length, which equation could be used to find the width, w?

Answers

w = width
l= length

w = l/2 - 4

l/2 repreaents half the length
- 4 is 4 less than half the length

The equation of the width(w) is l/2-4.

What is the equation ?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to the question

length is represented by l

width is represented by w

so w=l/2-4.

Therefore, he equation of the width(w) is l/2-4.

To know more about expression click on the link below:

https://brainly.in/question/18831055

#SPJ2

Order the set of integers from greatest to least. {-100, -89, -124, -69, -52}

Answers

Answer:

-52, -69, -89, -100, -124

Step-by-step explanation:

When your dealing with negative numbers the smaller number the larger it is.

Hope this helps have a nice day:)

Larry has saved $18,500 toward a down payment on a house. If he makes $3,890 a month , how much can he afford to spend on house? A. 100,000
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