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velikii [3]
3 years ago
15

Solve x – 7 > –8.

Mathematics
1 answer:
IgorC [24]3 years ago
8 0
Question 1.

x - 7 > - 8

Adding 7 to both sides, we get:

x - 7 + 7 > - 8 + 7

x > -1

Thus the answer to the inequality is option Fourth.

Question 2.

A number exceeds 66. Let that number be x. The number exceeds 66 means that the number is larger than 66. So in form of an expression we can write the inequality as:

x is greater than 66

x > 66

So, option 1st gives the correct answer.


Question 3.

The tiles are square shaped and area of a square can be calculated as the square of its Length.

Area of square = (Length)²

If we are given the Area, we can find the length as:

Length = \sqrt{Area}

For Tile A, the length will be:

Length= \sqrt{9}=3  
So length is a Rational number

For Tile B, the length will be:

Length= \sqrt{25}=5  
So length is a Rational number

For Tile C, the length will be:

Length= \sqrt{34}  
So, Length is not Rational.

For Tile D, the length will be:

Length= \sqrt{76}  
Length is not Rational

Thus, the lengths of Tile A and Tile B are rational only.

Therefore, the correct answer is 1st option  
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Which expression has a value of 23?
DaniilM [7]
A) 7 - (-16) = \fbox {23}

B) -3 - 20 = \fbox {-23}

C) 10 - 13 = \fbox {-3}

D) -18 - (-5) = \fbox {-13}

You were correct, the exact answer is A. The others do not equal 23 besides that one. Good job!
6 0
3 years ago
Read 2 more answers
If m∠EBD= 4x - 8 and m∠EBC= 5x + 20, find the value of x and m∠EBC.
coldgirl [10]

Answer:

-28 = x

Step-by-step explanation

[5x + 20] + [4x - 8] = 180

9x + 12 = 180

- 12 -12

______________

9x = 168

18⅔ = x

m∠EBC = 5[18⅔] + 20 = 113⅓

93⅓

You will get a negative answer if you set them equal to each other, which is not allowed when you are talking about <em>length</em><em>.</em>

I hope this is correct, and as always, I am joyous to assist anyone at any time.

4 0
3 years ago
-10 &lt; 2x - 4 &lt; 8, What is X?
Crank

Add 4 to the whole equation

-10 + 4 < 2x < 8 + 4

Simplify

-6 < 2x < 12

Divide the whole equation by 2

-6/2 < x < 12/2

Simplify

<u>-3 < x < 6</u>

5 0
3 years ago
Read 2 more answers
Descried how to derive the quadratic formula from a quadratic equation in standard form
Aleks [24]

Answer:

The standard form of a quadratic equation is:

ax^2+bx+c=0, a\neq 0

Quadratic Formula Derivation:

ax^2+bx+c=0\\

$x^2+\frac{b}{a}x+\frac{c}{a} =0 $

$x^2+\frac{b}{a}x = -\frac{c}{a}$

Completing the Square:

$x^2+\frac{b}{a}x +\frac{b^2}{4a^2} = \frac{b^2}{4a^2}-\frac{c}{a}$

$  ( x+\frac{b}{2a} )^2 =  \frac{b^2-4ac}{4a^2}  $

Square Root property:

$x+\frac{b}{2a}  = \pm \sqrt{ \frac{b^2-4ac}{4a^2}}   $

$x  = -\frac{b}{2a} \pm  { \frac{\sqrt {b^2-4ac}}{2a}}   $

$x  =  \frac{-b\pm\sqrt{b^2-4ac}} {2a}  }   $

8 0
3 years ago
Identify all the sets to which the number belongs choose from rational number whole number or integer 1.256 I think irrational c
VLD [36.1K]

Answer:

Rational

Step-by-step explanation:

1.256 is not a whole #, and it's also not an integer. An integer is basically whole #s and their opposites. The # is not irrational. 1.256 is a terminating decimal, and can be turned into a fraction. 1.256 = 1 32/125.

4 0
3 years ago
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