D. You need Ax+By=C where all of A,B,C are integers
Answer:
103 millimeters
Step-by-step explanation:
10 cm = 100 mm
103 > 100
3mm greater
Answer is D
Answer:
(t-3)/(t+2)
Step-by-step explanation:
1 - 2/(t+3)
-------------------
2/(t^2-9) +t/(t-3)
Factor the denominator
1 - 2/(t+3)
-------------------
2/(t-3)(t+3) +t/(t-3)
Multiply the top and bottom bottom by (t-3)(t+3)/ (t-3)(t+3) to clear the fraction
( 1 - 2/(t+3)) * (t-3)(t+3)
-------------------
2/(t-3)(t+3) +t/(t-3) * (t-3)(t+3)
(t-3)(t+3) - 2(t-3)
-------------------
2 +t(t+3)
Distribute
t^2-3t+3t-9 - 2t+6
-------------------
2 +t^2+3t
Combine like terms
t^2-2t-3
-------------------
t^2+3t+2
Factor
(t-3) (t+1)
-------------------
(t+2) (t+1)
Cancel like terms
(t-3)
-------------------
(t+2)
Answer:
g(x) = x² + 4x + 1
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 2, - 3), thus
y = a(x + 2)² - 3
To find a substitute (2, 13) into the equation
13 = a(2 + 2)² - 3
13 = 16a - 3 ( add 3 to both sides )
16 = 16a ( divide both sides by 16 )
a = 1, hence
g(x) = (x + 2)² - 3 ← expand factor and simplify
= x² + 4x + 4 - 3
g(x) = x² + 4x + 1
Only IF 6.45 is 2.54 × 2.54.