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nexus9112 [7]
3 years ago
8

Find the value of n such that x2-10x+n is a perfect square trinomial.

Mathematics
2 answers:
mihalych1998 [28]3 years ago
7 0
The answer is the last option (Option D), which is:

 D. 25

 The explanation is shown below:

 1. You have that:

 (a ± b)^2=a^2 <span>± 2ab + b^2

 2. The expression given in the problem is:

 </span><span>x^2-10x+n

 Where x^2=a and 2ab=10x

 2b=10
 b=10/2
 b=5

 3. Therefore, you have:

 b^2=5
 b^2=25

 b^2=n
 n=25</span>
sleet_krkn [62]3 years ago
3 0

Answer:

the answer is 25!!

Step-by-step explanation:

I hope this is helpful to sum of y'all!!

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If one bag of red grapes costs $2, how many bags can we buy with $18?
const2013 [10]
You would be able to get 9 bags of grapes.
2 * 9 = 18

Hope this helps!
8 0
3 years ago
Read 2 more answers
4. What are the terms in the expression, 9- 4 + 3b + 7a?
Elan Coil [88]

Answer:

The terms are 9, 4, 3b and 7a.

The terms are 9 – 4 and 3b + 7a.

The terms are 9, -4, 3b, and 7a.

Step-by-step explanation:

7 0
3 years ago
Is a positive integer raised to a negative power always positive
Evgesh-ka [11]

Answer:

Yes

Step-by-step explanation:

Many students gets confused with these exponential problems, they often get misguided but understand that there is nothing to be confused of.

When you have a negative number, you just take the reciprocal of the whole exponent number.

What is a reciprocal?

Let's take an integer for example, let's take the number 3.

The reciprocal for 3 is (1/3)

Let's take an other number, let's take 2/3

The reciprocal for 2/3 is (3/2)

In conclusion, we just reverse the denominator and the numerator or just switch it.

We take 3 as (3/1) and that is the reason, the reciprocal would be (1/3)

Now, coming to the negative integers. Taking an example:

(2)⁻¹

This would be become (1/2¹) = (1/2)

Hence, the result of a negative integer is positive but would be a fraction.

Hope I helped!


3 0
3 years ago
How many different 5-digit pins are there where none of the digits are repeated?
vazorg [7]
<span>With no digit being repeated: 10*9*8*7*6= 30,240</span>
7 0
3 years ago
Which of the following is equivalent to<br> (5) 3<br> O 54<br> O 54<br> 05<br> O V5
IrinaK [193]

Answer:

D. \sqrt[3]{5^7}

Step-by-step explanation:

The formula for this conversion is:

a^\frac{x}{n}=\sqrt[n]{a^x}

Substitute the values you currently have.

5^\frac{7}{3}=\sqrt[n]{a^x}

Since we know that

a = 5

x = 7

n = 3

Fill the square root with this.

5^\frac{7}{3}=\sqrt[3]{5^7}

4 0
2 years ago
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