Answer:
Answer: Option D.
Step-by-step explanation:
Hey there!!
Here, To find the equation of a st.line passing through point (3,1) is :
It is the first equation.
Given, Another equation is:
It is 2nd equation.
Comparing the 2nd equation with y = mx+c we get,
Slope (m2) = 2/3.
As per the condition of parallel lines,
m1 = m2 = 2/3.
Putting, the value of m1 in equation 1st we get,
or, 3 (y-1) = 2(x-3)
or, 3y - 3 = 2x - 6
Diving-3/3 = -1.
Therefore, y = 2/3 x - 1 is the required equation.
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em>
Answer:
Pregunta muy difícil, no creo que pueda resolver este amigo.
Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...
Answer:
The maximun height that the rocket will reach is 3150 ft.
Step-by-step explanation:
This problem requieres that we maximize the function. For this we need the function to be of the form:
We already have that covered, as the height of the rocket is represented by:
We start calculating the derivative of h(t), wich is:
We need to remember that the derivative of a function represents the slope of said function at a given point. The maximum value of the function will have a slope equal to zero.
So we find the value in wich the derivative equals zero:
This means that 15 seconds is the time at wich the rocket will reach it's maximum height.
We replace this value in the original equation to solve the problem:
With this we can conclude that the maximum height the rocket will reach is 3150 ft.
Solution:
(a) In the given figure,
BD is the bisector of angle ABC, thus:
So, write as follows:
(i)
Therefore,
(ii)
OB=OA=OD radii of the same circle.
As OB=OA then in triangle AOB,
BOD is a diameter of a circle. then by theorem of circle,
thus,
OA=OD , in the tringle AOD,
In triangle AOD,
Therefore,
(iii) By the theorem of circle, the angle formed at the center of the circle is twice the angle formed at the circumference of the circle with the same base.
Therefore,
(iv)
OA=OD , thus tringle AOD is an isosceles triangle,
Therefore,
Answer:
The GCF of 27 and 72 is 9
Step-by-step explanation:
prime factorization of 27 is 3*3*3
prime factorization of 72 is 2*2*2 by 3*3
3*3 is in both, and so we need to multiply that to get our GCF. 3*# is 9, so the GCF of 27 and 72 is 9