Hello :
1) x²-6x = -2
x²-6x+2=0
x²-2(3)x+9-9+2 =0
(x-3)² -7 = 0
(x-3)²=(<span>√7)²
x-3 =</span>√7 or x-3 = - <span>√2
x=3+</span>√2 or x= 3-<span>√2
</span>2) x²-6x = -7
x²-6x+7=0
x²-2(3)x+9-9+7 =0
(x-3)² -7 = 0
(x-3)²=(√7)²
x-3 =√7 or x-3 = - √7
x=3+√7 or x= 3-√7
3 )
x²-6x = 1
x²-6x-1=0
x²-2(3)x+9-9-1 =0
(x-3)² -10 = 0
(x-3)²=(√10)²
x-3 = √10 or x-3 = - √10
x=3+ √10 or x= 3- √10
the range is : {3+√2,3-√2 ,3+√7,3-√7 ,3+ √10 , 3- √10 }
Answer: Theo's scarf is 173 + 1/3 centimeters long.
Step-by-step explanation:
The scarf of Leah is 130 centimeters long.
The one of Theo is 4/3 as long as the one of Leah, then we have that the length of the scarf of Theo is:
Lenght = (4/3)*130 cm =(4*130)/3 cm =520/3 cm
Now, we know that if all the digits of a number add up to a multiple of 3, that number is divisible by 3.
520/3 = (519 + 1)/3 = 519/3 + 1/3 = 173 + 1/3
Theo's scarf is 173 + 1/3 centimeters long.
Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
Answer:
5 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
t = 1200 / ( 6000 × 0.04 ) = 5
t = 5 years
The time required to
accumulate simple interest of $ 1,200.00
from a principal of $ 6,000.00
at an interest rate of 4% per year
is 5 years.
