The number could be 250. The reason why is because 1250 divided by 5 = 250, and 250 divided by 5 = 5. Hope this helps you, and good luck!!
Answer:
D
Step-by-step explanation:
first find the perimeter of both triangles
Original perimeter: 72 in
scaled perimeter: 24 in
A is wrong since the scaled perimeter is actually smaller.
B is wrong because its not 6 times smaller
C is wrong since it's not 1/9 of the original
D is correct since the scaled is a 1/3 of the original perimeter (72*1/3 = 24)
2(x - 5)² + 13 = 31
2(x - 5)(x - 5) + 13 = 21
2(x(x - 5) - 5(x - 5)) + 13 = 21
2(x(x) - x(5) - 5(x) + 5(5)) + 13 = 21
2(x² - 5x - 5x + 25) + 13 = 21
2(x² - 10x + 25) + 13 = 21
2(x²) - 2(10x) + 2(25) + 13 = 21
2x² - 20x + 50 + 13 = 21
2x² - 20x + 63 = 21
<u> - 21 - 21</u>
2x² - 20x + 42 = 0
2(x²) - 2(20x) + 2(21) = 0
<u>2(x² - 20x + 21)</u> = <u>0</u>
2 2
x² - 20x + 21 = 0
x = <u>-(-20) +/- √((-20)² - 4(1)(21))</u>
2(1)
x = <u>20 +/- √(400 - 84)</u>
2
x = <u>20 +/- √(316)
</u> 2
x = <u>20 +/- 2√(79)</u>
2
x = 10 <u>+</u> √(79)
x = 10 + √(79) U x = 10 - √(79)
<u />
Answer:
You need to add 1/36th to both sides of the equation, giving you the expression
Which can be expressed as:
Step-by-step explanation:
We need to add a term that is the the square of half the coefficient of the second term.
Let's check the answer by expanding:
Which verifies the answer.
Length of PS= 3.99 units
Length of QS=2.08 units
Area of triangle PQR=14.12units²
