Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
Answer:
A. length = 23 cm; width = 5 cm
Step-by-step explanation:
So if 4 times the width would be
and 3 more than would be
, the equation would be
. If the perimeter is 56, then the new equation,
can be formed. This simplifies to
, then to
, then to
, and finally,
. So the width is 5, and now plug it into the first equation.
, becomes
, becomes
.
So the dimensions are: length = 23 cm, width = 5 cm.
*And just to be sure,
which is correct.
<em><u>The reciprocal property is:</u></em>

<em><u>Solution:</u></em>
Given that,

<em><u>The reciprocal property is given as:</u></em>
The reciprocal of a fraction is the numerator and denominator switched

Therefore,

By reciprocal property,
Switch the numerator and denominator of right side fraction as well as left side fraction
The we get,

Thus option C is correct
For this case we must find the value of the variable "x" of the following equation:

So, we follow the steps:
Subtracting 3 from both sides of the equation we have:

Different signs are subtracted and the sign of the major is placed:

Thus, the value of x is 9.
Answer:
