Answer:
Distributive property
Step-by-step explanation:
The question is not properly formatted.
From the available detail, I will re-write the question as follows
Required
The property used
Distributive property is stated as follows:
So, we have:
Evaluate like terms
Answer:
-1/2
Step-by-step explanation:
<u>y2-y1</u> <u>1-3 </u> <u> -1</u>
x2-x1 8-4 2
The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
Answer:
Step-by-step explanation:
28. Area of the circle = π
where r is the radius of the circle.
Given diameter = 14m, therefore radius = 
= 7m
Now area of the circle = 49
or = 49 * 3.14 * 3.14 = 483.12
29. Volume of cylinder = πh = π*
* 3 = 6.75π cu. feet or 21.195 cu. feet
30. A ball resembles a sphere. Volume of the sphere = 
Given diameter = 30inches; Therefore, radius = 15 inches
Now, Volume of the ball = 
= 4500π cu. inches or 14310 cu.inches
Answer: C. No solution. ( top shaded. Middle not. Bottom shaded.
Step-by-step explanation:
Given inequalities
y< -1/3x+5 and
y> -1/3x-1.
If we draw graph for y< -1/3x+5 equation, it would be a dotted line and we would shade down the dotted line because we have less than < symbol there.
Now, if we draw graph for second inequality y> -1/3x-1, it would also be a dotted line and we would shade up of dotted line because we have greater than > symbol there.
Now, we can see that slopes of both dotted lines are same that is -1/3.
So, there would not be any common shaded region.
Therefore, there would not by any solution of the system of inequalities.
And correct option is C option.
C. No solution. ( top shaded. Middle not. Bottom shaded.
