For problems like this we can use algebra to help us, the farenheight 6 hours ago was:
(2xt)-6=-20
We have to balance the sides out, first we minus 6
2xt=-26
Now we can divide by 2
t=-13
We now know the temperature 6 hours ago was -13
Answer:
so for the first one it would be a^2+b^2=n^2 then for the next one you can use what’s called a proof by contradiction. That is, you can prove something is true because it cannot be false. for the first one i'm going to do 6^2+3^2=45^2 then for my second one i did 45^2=n^2. and then for the next one you would just have to multiply the number by its self so u got 2025=n^2. and then for d it would be yes because of the proof by contradiction. and for e it shows that the triangles could have similar sides. and f yes because one angle is a right angle.
Step-by-step explanation:
<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>
There are 60 minutes on a clock. each minute would be 360 / 60 = 6 degrees.
5:15 to 5:25 is 10 minutes.
The angle would be 10 x 6 = 60 degrees.
Answer: 129.81 m, roughly 130 m
Step-by-step explanation: Let me know if you need an explanation.
