Answer:
I think so
Step-by-step explanation:
The equation of the circle is may be expressed as,
(x - h)² + (y - k)² = r²
where h and k are the abscissa and ordinates of its center, respectively, and r is radius. Substituting the given values to the equation above,
(x - 5)² + (y - 3)² = 4²
Simplifying further the equation gives,
x² + y² - 10x - 6y + 18
Answer:
See below ~
Step-by-step explanation:
<u>3a : Area of the triangle</u>
- A = 1/2bh
- A = 1/2 x 10 x 8
- A = 5 x 8
- A = <u>40 m²</u>
<u>3b : Area of the semicircle</u>
- Finding the radius (equal to 1/2 of the triangle hypotenuse)
- Apply Pythagorean Theorem here
- √8² + 10² = d
- √64 + 100 = d
- d = √164
- d = 2√41
- r = √41
- A = πr²/2
- A = 3.14 x (√41)² / 2
- A = 1.57 x 41
- A = <u>64.4 m²</u> (nearest tenth)
Answer:
The constant of porportionality is k = 12.5; the equation that describes the relationship is y = 12.5x.
Step-by-step explanation:
When you divide the miles by the hours, it's always 12.5, meaning that k must be 12.5.
If x is the hours and k is 12.5, the equation that describes the relationship is y = 12.5x.