Estimate : 23 × 67
20 (lower down, lower than 5...the last digit) × 70 (Higher, higher than 5)
=20×70
=1400
The estimated value will be 1400
Answer:
D
Step-by-step explanation:
To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.
Complete the square by dividing each term -14x and 10y in two. Then square each.
-14/2 = -7 and -7² = 49
10/2 = 5 and 5² = 25
The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.
We simplify the equation into (x-7)² + (y + 5)² = 324.
324 is the value of radius squared. Take the square root to find the radius.
√324 = 18
The radius is 18 units.
Answer:
t = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-6(t + 2) = 18
<u>Step 2: Solve for </u><em><u>t</u></em>
- [Distributive Property] Distribute -6: -6t - 12 = 18
- [Addition Property of Equality] Add 12 on both sides: -6t = 30
- [Division Property of Equality] Divide -6 on both sides: t = -5
Let length of base be x and breadth of base be y
2x + 2y = 28
x + y = 14
y = 14 - x
Volume of box
= 5xy
= 5x (14 - x)
= 70x - 5x^2
Answer:
7.91
Step-by-step explanation:
I just took the quiz and i got an A