I need answer on this problem tyt

Mathematics

1 answer:

tamaranim1 [39]2 years ago

3 0

<h3>Speed of light:</h3>

$3.05 \times 10 ^{8} m/s$

<h3 /><h3>Seconds in a year:</h3>

$3.15 \times 10 ^{7}$

$\rule{300pt}{3pt}$

Multiply the speed of light with seconds in a year

*Note:- We will not change the values because speed of light is in m/s and the time is also given in seconds.

$\rule{300pt}{3pt}$

$3.08 \times 10 ^{8} \times 3.15 \times 10 ^{7}$

$(3.05 \times 3.15) \times (10 ^{8} \times 10 ^{7} )$

$9.4675 \times 10 ^{15}$

$\tt9.46 \: Trillion \: Kilometers$

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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola

Jet001 [13]

Answer:

The vertex form of the equation is $y = -\frac{1}{3}( x-1)^{2} +1$ .

Step-by-step explanation:

You will use the equation $y=a(x-h)^{2} +k$ to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get $y= a(x - 1)^{2} +1$ .

Then, we substitute the point as our x and y to get $-2 = 9a+1$ (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the $9a$ to get $9a = 3$ . Finally, divide by 9 on both sides to get $a=\frac{1}{3}$ .

Now, substitute your $a$ back into the equation to get y = $-\frac{1}{3}(x-1)^{2}+1$ .

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get $y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}$ .