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swat32
2 years ago
13

Pls help 25h²- 16t² factorise it​

Mathematics
2 answers:
noname [10]2 years ago
8 0

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

shepuryov [24]2 years ago
5 0

Answer:

(5h - 4t)(5h + 4t)

Step-by-step explanation:

25 h² - 16t² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

Then

25h² - 16t²

= (5h)² - (4t)²

= (5h - 4t)(5h + 4t) ← in factored form

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Substitute the 1st equation in the 2nd, we get:

3x + 2(-3 + 2x) = 2
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5 0
3 years ago
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For what values of the variables are the following expressions defined? 1. 5y+2 2. 18/y 3. 1/x+7 4. 2b/10−b Example: X&gt;7
Serga [27]

Answer:

1. All real numbers

2. All real numbers except y = 0

3. All real numbers except x = -7

4. All real numbers except b = 10

Step-by-step explanation:

For any function to be defined at a particular value, it should not be <em>approaching to a value </em>\infty<em> or it should not give us the </em>\frac{0}{0}<em> (zero by zero) form </em> when the input is given to the function.

The value of function will depend on the denominator.

Now, let us consider the given functions one by one:

1. 5y+2

Here denominator is 1. So, it can not attain a value \infty or \frac{0}{0}<em> (zero by zero) form </em>

So, for all real numbers, the function is defined.

2.\ \dfrac{18}{y}

At y = 0, the value

At\ y =0,  \dfrac{18}{y} \rightarrow \infty

So, the given function is <em>defined for all real numbers except y = 0</em>

<em></em>

<em></em>3.\ \dfrac{1}{x+7}<em></em>

Let us consider denominator:

x + 7 can be zero at a value x = -7

At\ x =-7,  \dfrac{1}{x+7} \rightarrow \infty

So, the given function is <em>defined for all real numbers except x = -7</em>

<em></em>

4.\ \dfrac{2b}{10-b}

Let us consider denominator:

10-b can be zero at a value b = 10

At\ b =10,  \dfrac{2b}{10-b} \rightarrow \infty

So, the given function is <em>defined for all real numbers except b = 10</em>

<em></em>

7 0
3 years ago
The ages of three friends are consecutively one year apart. Together, their ages total 30 years. What is the age of the youngest
nadya68 [22]

Answer:

The age of the youngest friend is 9 years old.

Step-by-step explanation:

3a = 30 - 3

= 27 ÷ 3

= 9

= 9 + 10 + 11 = 30

= 9 is the smallest number. So, the youngest friend is 9 years old.

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If 400 patrons visit the park in March and 550 patrons visit in April, the total number of patrons who
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950 is a real number, and it is a rational number since it can be expressed as 950/1. Therefore, it falls into all of the categories expect irrational numbers.
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3 years ago
Does anyone know the answer to this? I can't understand why it isn't -7.​
faltersainse [42]

The value of 18x + 9∆x - 7 based on the limit given will be 18x - 7.

<h3>How to calculate the value?</h3>

From the information given, it should be noted that we simply want to calculate the value of x.

This will be:

18x + 9∆x - 7

It was stated that ∆x = 0

Therefore, we'll put this into the equation.

This will be:

18x + 9∆x - 7

= 18x + 9(0) - 7

= 18x -7

Learn more about limit on:

brainly.com/question/12383223

#SPJ1

8 0
2 years ago
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