It's gonna be 5 - (2 + 4 -2)
according to order of operations, we have to solve inside the parentheses/brackets first (from left to right)
therefore, it will be
5 - (6 - 2)
=5 - (4)
Next, distribute the negative to the four and add normally.
= 5 - 4
= 1
Answer:
congruent
Step-by-step explanation:
All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the interior angles, we know that the sum of all the angles is 540 degrees (from above)... And there are five angles... So, the measure of the interior angle of a regular pentagon is 108 degrees.
Answer:
a) The vertex of the graph is
, b)
, c) The equation of the parabola is
.
Step-by-step explanation:
a) The tennis ball experiments a free fall, that is, an uniform accelerated motion due to gravity and in which effects from Earth's rotation and air viscocity are negligible. The height of the ball in time is represented by a second order polynomial. Hence, the vertex of the parabola is the initial point highlighted in graph.
The vertex of the graph is
.
b) If we know that
,
and
, then the value of
is:




c) The equation of the parabola is
.
Answer:
$3,000 was invested in the account that gained 13%
$17,500 was invested in the account that lost 10%
Step-by-step explanation:
Let the amount in both accounts be x and y
x for the first and y for the second
Adding both is 20,500
x + y = 20,500 •••••(i)
First account earned 13% profit
= 13/100 * x = 0.13x
Second account, a loss of 10%
= -10/100 * y = -0.1y
Total loss of -1,360
This is;
-0.1y + 0.13x = -1,360 •••••••(ii)
From i, x = 20,500-y
Insert this into ii
-0.1y + 0.13(20,500-y) = -1,360
-0.1y + 2665 -0.13y = -1360
-0.23y = -1360-2665
-0.23y = -4025
y = -4025/-0.23
y = 17,500
To get x, we have
x = 20,500 -y
x = 20,500- 17,500
x = 3,000
Cubic Yards to Cubic Inches Conversion 1 Cubic yard is equal to 46656 cubic inches. To convert cubic yards to cubic inches, multiply the cubic yard value by 46656.