<span>f(x) = one eighth (x - 2)^2 - 1
Since a parabola is the curve such that all points on the curve have the same distance from the directrix as the distance from the point to the focus.With that in mind, we can quickly determine 3 points on the parabola. The 1st point will be midway between the focus and the directrix, So:
(2, (1 + -3)/2) = (2, -2/2) = (2,-1).
The other 2 points will have the same y-coordinate as the focus, but let offset on the x-axis by the distance from the focus to the directrix. Since the distance is (1 - -3) = 4, that means the other 2 points will be (2 - 4, 1) and (2 + 4, 1) which are (-2, 1) and (6, 1). The closest point to the focus will have the same x-coordinate as the focus, so the term will be (x-2)^2. This eliminates the functions "f(x) = -one eighth (x + 2)^2 - 1" and "f(x) = -one half (x + 2)^2 - 1" from consideration since their x term is incorrect, leaving only "f(x) = one eighth (x - 2)^2 - 1" and "f(x) = one half (x - 2)^2 + 1" as possible choices. Let's plug in the value 6 for x and see what y value we get from squaring (x-2)^2. So:
(x-2)^2
(6-2)^2 = 4^2 = 16
Now which option is equal to 1? Is it one eighth of 16 minus 1, or one half of 16 plus 1?
16/8 - 1 = 2 - 1 = 1
16/2 + 1 = 8 + 1 = 9
Therefore the answer is "f(x) = one eighth (x - 2)^2 - 1"</span>
The answer is 43.72 <span>× 10¹² kg.</span>
It is given:
the mass of the Rock of Gibraltar:
m₁ = 1.78 × 10¹² kg
the mass of the Antarctic iceberg:<span>
m</span>₂ = 4.55 × 10¹³ kg = 4.55 × 10 × 10¹² kg = 45.5 × 10¹² kg<span>
To calculate how many more kilograms </span><span>is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar we need to subtract them:
</span>m₂ - m₁ = 45.5 × 10¹² kg - <span>1.78 × 10¹² kg
</span>m₂ - m₁ = (45.5 - 1.78) <span>× 10¹² kg
</span>m₂ - m₁ = 43.72 × 10¹² kg
KL will be 2x +19
11 + 2x+19 = x+21
x= -9
KL = 1
Answer:
Step-by-step explanation:
Answer:
400 +480 =880
Step-by-step explanation:
0+0=0
8+0=8
4+4=8
880
