Answer:
1. 5
2. 12
3. a. 12
3. b. 18
Step-by-step explanation:
1. 50 - 45 = 5.
2. 26 - 18 = 8. 30 - 18 = 12. 12 + 8 = 20. 20 + 18 = 38. 50 - 38 = 12.
3. a. 24 - 12 = 12.
4. 40 - 12 = 28. 24 - 12 = 12. 28 + 12 + 12 = 52. 70 - 52 = 18.
Answer:
The simplified form is 24m^4n^3
Step-by-step explanation:
In order to find that, simply add the exponents on the like terms and multiply the numbers in the front.
12m^3n^2 * 2mn = 24m^4n^3
<span>the expressions that are NOT polynomials
</span><span>A. x^2-(square root of x)-3
</span><span>C. 5x^1/2 + 4x^2
</span><span>E. x^2-x-12/x+3
(method: check polynomials lesson)</span>
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
