Answer:
I needed thisssss ! Thanks for the points and you too<3
Step-by-step explanation:
Answer:
9^6
Step-by-step explanation:
When dividing exponents with the same base, we subtract the exponents
a^b/ a^c = a^(b-c)
9^11/9^5 = 9^(11-5)
= 9^6
Answer:
D!
Step-by-step explanation:
a and b - we cant do translations, because the shapes size would be preserved
so its between c and d
c makes it smaller - so even smaller than KLM
d makes KLM larger(into K'L'M'), and since it is the last option, D is correct
hope it helps
ask for any questions
Answer:
y = x^2/ 60 + 15
=>( x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Step-by-step explanation:
Okay, in order to solve this question very well, one thing we must keep at the back of our mind is that the representation for the equation of a parabola is given as ; y = ax^2 + bx + c.
That is to say; y = ax^2 + bx + c is the equation for a parabola. So, we should be expecting our answer to be in this form.
So, from the question above we are given that "the satellite dish will be in the shape of a parabola and will be positioned above the ground such that its focus is 30 ft above the ground"
We will make an assumption that the point on the ground is (0,0) and the focus is (0,30). Thus, the vertex (h,k) = (0,15).
The equation that best describes the equation of the satellite is given as;
(x - h)^2 = 4a( y - k). ------------------------(1).
[Note that if (h,k) = (0,15), then, a = 15].
Hence, (x - 0)^2 = (4 × 15) (y - 15).
x^2 = 60(y - 15).
x^2 = 60y - 900.
60y = x^2 + 900.
y = x^2/ 60 + 15.
Hence, we will have;
(x - h)^2 = 4a[ (x^2/6 + 15) - k ].
Answer:
AB : 
PT : 
Step-by-step explanation:
The line AB passes through A(-2,4) and B(-8,-6) points.
Therefore, the slope of the line AB will be 
(Answer)
Again line PT passes through P(3,-1) and T(8,-2) points.
Therefore, the slope of the line PT will be 
. (Answer)
Here we have applied the formula of slope of a straight line passing through the points 
and 
as given by 
.
