Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

PLEASE HELP 15 points for brainliest! What is the solution of n^2-49=0

creativ13 [48]

Answer: The correct option are (1). c, (2). d and (3). (b).

Step-by-step explanation: The calculations are as follows:

(1) We are to find the solution of the following quadratic equation:

$n^2-49=0.$

We have

$n^2-49=0\\\\\Rightarrow n^2=49\\\\\Rightarrow n=\pm7~~~~~\textup{[taking square roots on both sides]}$

Thus, the correct option is (c). $\pm7.$

(2) We are to find the solution of the following quadratic equation:

$x^2+64=0.$

We have

$x^2+64=0\\\\\Rightarrow x^2=-64.$

Since there is no real number whose square is negative, so this equation has no solution.

Thus, the correct option is (d). no solution.

(3) We are given to find the side length of a square with an area of 144x².

Let, 'a' denotes the side length of the square.

Then,

$a^2=144x^2\\\\\Rightarrow a=\pm12x.~~~~~~~\textup{[taking square root on both sides]}$

Since the length of the side cannot be negative, so the side length is 12x.

Thus, (b) is the correct option.

The correct option are (1). c, (2). d and (3). (b).

6 0

3 years ago

Read 2 more answers

V = lwh/3 (solve for h)

victus00 [196]

Answer:

$\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle V = \frac{lwh}{3}$

Step 2: Solve for h

[Multiplication Property of Equality] Multiply 3 on both sides: $\displaystyle V = \frac{lwh}{3} \rightarro 3V = lwh$
[Division Property of Equality] Divide lw on both sides: $\displaystyle V = \frac{lwh}{3} \rightarrow h = \frac{3V}{lw}$

4 0

3 years ago

Which shows the numbers ordered from least to greatest?

Roman55 [17]

Answer: B

Step-by-step explanation:

Simplified- 0.88, 1.04, 1.75, 2.23

**0.9, 1.04, 1.8, 2.23** Rounded

I hope this helps

~Princess <3

3 0

3 years ago

{10x7} +(10-6) evaluation

ahrayia [7]

Answer:

70x + 4

Step-by-step explanation:

10x (7) + 10 - 6

= 70x + 10 + -6

Combine like terms:

= 70x + 10 + -6

= (70x) + (10 + -6)

= 70x + 4

3 0

3 years ago

Read 2 more answers

sue has 7/8 of her book left to read. If she reads another 2/7 of the book, how much of the book will she have left?

maxonik [38]

First you have to make the fractions equal.
That gives you 49/56 and 16/56.
Then you add them together and get 65/56.
So I guess she finishes the book. (not completly sure, werid)
Hope this helps

3 0

3 years ago

Read 2 more answers