Farmer Brown is prepping his circular garden for the new spring/summer season of vegetables. The garden has to be larger than 25
1 answer:
You might be interested in
Answer:
Our two numbers are:
Or, approximately 7.66 and 3.66.
Step-by-step explanation:
Let the two numbers be <em>a </em>and <em>b</em>.
One positive real number is four less than another. So, we can write that:
The sum of the squares of the two numbers is 72. Therefore:
Substitute:
Solve for <em>a. </em>Expand:
Simplify:
Divide both sides by two:
Subtract 36 from both sides:
The equation isn't factorable. So, we can use the quadratic formula:
In this case, <em>a</em> = 1, <em>b</em> = -4, and <em>c</em> = -28. Substitute:
Evaluate:
So, our two solutions are:
Since the two numbers are positive, we can ignore the second solution.
So, our first number is:
And since the second number is four less, our second number is:
Answer:
Step-by-step explanation:
Given are two lines equation in parametric form as
The direction ratios of the I line are -2, 4 and 8
Ii line are -1, 3, 2
These two are not proportional
Hence l1 and l2 are not parallel
Either they are skew or intersect
If intersect common point P would have coordinates as
Let us solve first two equatins for u and t and check whether 3rd equation is satisfied by this.
2*(i) -ii gives u = -3
t =0.5
Substitute in III equation
8(0.5)-2(-3) = 10 so satisifed
These two are not skew lines
The point of intersection is got by substituting either t or u
Point of intersection (2, 9, 1)
Answer:
<h2>The radius is 4 units long.</h2>Step-by-step explanation:
The given equation is
This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.
You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have
Therefore, the radius is 4 units long.