The easiest way to find the vertex is to convert this standard form equation into vertex form, which is y = a(x - h)^2 + k.
Firstly, put x^2 - 10x into parentheses: y = (x^2 - 10x) + 30
Next, we want to make what's inside the parentheses a perfect square. To do that, we need to divide the x coefficient by 2 and square it. In this case, the result is 25. Add 25 inside the parentheses and subtract 25 outside of the parentheses: y = (x^2 - 10x + 25) + 30 - 25
Next, factor what's inside the parentheses and combine like terms outside of the parentheses, and your vertex form is: y = (x - 5)^2 + 5.
Now going back to the formula of the vertex form, y = a(x - h)^2 + k, the vertex is (h,k). Using our vertex equation, we can see that the vertex is (5,5).
Answer:
f
Step-by-step explanation:
A right angled triangle has one angle equal to 90°
an obtuse angle triangle has one angle greater tan 90°
a) An o and right-angled triangle btuse angled triangle can have one angle equal.
b) R and O are not equivalent by definition
c) subset of R and Oare not all triangles as R and O are categories of all triangles. R and O are subset of all triangles
d) Acute triangles have all acute angles. So subset of R and O can't be all acute traingles
e) All triangles with two acute angles are may or may not have third angle as obtuse angle or 90° angle
f) none of the above
If wrong i apologize but for that equation i got the answer K=117
Right triangle bc a^2+b^2=c^2. (Pythagorean theorem)
Answer:
= 
, so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,
, and 
gives = ,
