Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
Hello there!
The Pythagorean Theorem is:
a² + b² = c²
We have b = 48 and c = 50
Remember: The hypotenuse is always longer.
a² + 48² = 50²
a² + 2304 = 2500
a² = 2500 - 2304
a² = 196
a = √196
a = 14
The missing length is 14.
Let me know if you have any questions. As always, it is my pleasure to help students like you!
First thing we are going to do to solve this is to subtract 1.5 from both sides so:
<span>5x+1.5−1.5</span>=<span>7−1.5
</span>5x<span>=5.5
</span>Next we are going to di<span>vide from both sides by 5 so:
</span><span><span>5x/</span>5</span>=<span>5.5/<span>5
Finally your final answer shall be:
</span></span><span>x=1.1
I hope this helps!</span>
If ur trying to ask about how many laps r completed in a minute, it’s 3
