(2,1)
I first used substitution to get my answer and then used graphing to check. You can easily get a graphing equation by rearranging the second equation.<span />
Step-by-step explanation:
First, let us find the magic sum in each row/column/diagonal.
Sum of numbers from 1 to 9 = 45.
45 divide by 3 rows = 15 each row.
The magic sum is 15.
For the diagonals, we have:
8 + 5 + x = Magic sum = 15,
6 + 5 + y = Magic sum = 15.
Therefore x = 2 and y = 4.
(x + 5)(x² - 3x)
Use FOIL (First, Outside, Inside, Last)
x(x²) = x³
x(-3x) = -3x²
5(x²) = 5x²
5(-3x) = -15x
Combine like terms:
x³ - 3x² + 5x² - 15x
x³ + 2x² - 15
x³ + 2x² - 15 is your answer
hope this helps
Option B is the correct answer.
ΔWVS ≅ ΔWUT
Solution:
Given STUV is a rectangle.
To prove that ΔWVS ≅ ΔWUT:
Step 1: Given STUV is a rectangle.
Step 2: All the angles in the rectangle are right angles.
So that, ∠V = ∠U = 90°
Step 3: ∠V ≅ ∠U (Angle)
Step 4: All rectangles are parallelograms.
Therefore STUV is a parallelogram.
Step 5: In parallelogram opposite sides are congruent.
Therefore, SV ≅ TU (Side)
Step 6: Given WV ≅ WU (Side)
Step 7: From step 3, step 5 and step 6
ΔWVS ≅ ΔWUT by SAS congruence rule.
Option B is the correct answer.
Where A is the area of the base and h is the height of the pyramid. Volume of a Square- based Pyramid. The volume of a square- based pyramid is given by. Example 39
