Answer:
D
Step-by-step explanation:
Answer:
Step-by-step explanation:
Recall that the argument of the square root function y = √x must always be 0 or greater.
If you meant y=√x+8 -7, the domain is therefore [0, infinity).
But if you meant y=√(x+8) -7, the domain is [-8, infinity).
Those parentheses are important!
Answer:
Radius of larger flower bed = 10 feet
Radius of smaller flower bed = 6 feet
Step-by-step explanation:
<u>Complete question:</u>
"You have two circular flower beds, as shown. The sum of the areas of two flower beds is 136 pi square feet. Find the radius of each bed.<em>"</em>
<em>Radius of larger flower bed = r</em>
<em>Radius of smaller flower bed = r - 4</em>
<em />
Now,
Area of circle is 
Since, total area is
, we can write:

Expanding and solving for r:

Radius cannot be negative, so r = 10 & r-4 = 10 -4 = 6
Radius of larger flower bed = 10 feet
Radius of smaller flower bed = 6 feet
Answer:
Step-by-step explanation:
Answer:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse
3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
Tenth: 6.2
Hundredth: 6.16
Thousandth: 6.159
Step-by-step explanation:
***In general, round up when the number is greater or equal to 5. If number is less, round down***
Rounding to the tenths place means that there will be a SINGLE digit following the decimal. <u>Therefore, 6.1592 rounded to the tenths place will be 6.2 because '5' is equal to 5.</u>
Rounding to the hundredths place means that there will be TWO digits following the decimal. <u>Therefore, 6.1592 rounded to the hundredths place becomes 6.16 because '9' is greater than 5.</u>
Rounding to the thousandths place means that there will be THREE digits after the decimal.<u> 6.1592 rounded to the thousandths place becomes 6.159 because the digit to the right of the thousanths place is '2', meaning you round down. </u>The digit in the thousandths place will stay the same.