Answer:
c
Step-by-step explanation:
for remotes
(21 .99-3)x4= $75.96
for dolls
19.99x3 = $59.97
shipping
$10.50
total = 10.50 + 59.97 + 75.96 = $146.43
Answer:
A square is a quadrilateral with all sides equal in length and all interior angles right angles. Thus a rhombus is not a square unless the angles are all right angles. A square however is a rhombus since all four of its sides are of the same length.
Step-by-step explanation:
Hope thats helpful! :)
Answer:
The expression is equivalent , but is not completely factored
Step-by-step explanation:
A student factors 3x² – 12 to the following. 3(x² – 4)
3x² – 12 is equivalent to 3(x² – 4), because 3 was factored out;
If we multiply by 3 by opening the brackets then we get the same expression 3x² – 12.
However; <em>3(x² – 4), could be factored further;</em>
<em>To get; 3(x + 2)(x - 2) ; since x² – 4 is a difference of two squares;</em>
<em>Therefore;</em>
<em>3x² – 12 = 3(x² – 4) = 3(x + 2)(x - 2)</em>
We need to solve for the values of x by applying the method of completing the square in the given expression x² - 10x -2 = 17. The solution is shown below:
x² - 10x -2 = 17
Transpose -2 to the right side such as:
x² - 10x = 17 + 2
Perform addition of 17 and 2
x² - 10x = 19
Add + 25 in both sides
x² - 10x + 25 = 19 + 25
x² - 10x + 25 = 44
(x-5)(x-5) = 44
Where (x-5) is a perfect square, then we have:
(x-5)² = 44
x1 = +√44 -5 = 1.6
x2 = - √44 -5 = -11.6
The answers are x1=1.6 and x2 = -11.6.
