Answer:
second option
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
Answer:
It is 9a2 − 30a + 25 The other answer is a prime number.
(
3a
−5)^2
Step-by-step explanation:
7. y=-3/2x+8 (3rd answer choice)
substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b
so equation would be...
y=-3/2x+8 (3rd answer choice)
8. y=-5x-17 (2nd answer choice)
substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
-17=b
so the equation would be...
y=-5x-17 (2nd answer choice)
check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (1, 4 ) → J' (- 1, 4 )
K (1, 0 ) → K' (- 1, 0 )
L (4, 3 ) → L' (- 4, 3 )
Plot the points J', K', L' and connect them in order to obtain image
Answer: C
<u>Step-by-step explanation:</u>
∑ 8(
)⁽ⁿ⁻¹⁾ from n = 1 to n = 5
n = 1 → 8()⁽¹⁻¹⁾
= 8 = 
n = 2 → 8()⁽²⁻¹⁾
= 
= 
n = 3 → 8()⁽³⁻¹⁾
= 
= 
n = 4 → 8()⁽⁴⁻¹⁾
= 
= 
n = 5 → 8()⁽⁵⁻¹⁾
= 
=
Sum = 
= 408.99
