<span>The answer would be yes, the locus of points idea allows you to
define a circle without giving a numerical value for the radius.
A locus of points</span> is the set of <span>points<span>, and only those </span>points</span>, that satisfies given conditions. The locus of points at a given distance from a given point is a circle whose center
is the given point<span> and whose radius is the given distance.</span>
Since the given figure is a trapezoid, here is how we are going to find for the value of x. Firstly, the sum of the bases of the trapezoid is always equal to twice of the median. So it would look like this. 2M = A + B.
Plug in the given values above.
2M = (<span>3x+1) + (7x+1)
2(10) = 10x + 2
20 = 10x + 2
20 - 2 = 10x
18 = 10x < divide both sides by 10 and we get,
1.8 = x
Therefore, the value of x in the given trapezoid is 1.8. Hope this is the answer that you are looking for.
</span>
Answer:
405 cm²/s
Step-by-step explanation:
The dimensions are increasing at the rate of 3 cm/s, so the dimensions in cm can be described as a function of time by ...
3 + 3t
and
6 + 3t
Then the area is the product of these, or ...
A = (3 +3t)(6 +3t)
A = 9t² +27t +18
and the rate of change of area is given by its derivative with respect to t:
A' = 18t +27
When t=21, the value of this is ...
A'(21) = 18·21 +27 = 405 . . . . cm²/s
Answer: 55 Square inches
Step-by-step explanation:
You should find the area of the square and rectangle separately
To find the area you multiply length times width, so the area of the square is 4×4 which equals 16
Then you do the same to the rectangle, 13×3=39
To find the area of the whole figure you add the area of the two shapes together 16+39 which should give you 55
Let x equal miles traveled<span>2.25+0.75(x-1/2)/(1/8)=12
2.25+.75(x-1/2)*8=12
2.25+6(x-1/2)=12
2.25+6x-3=12
6x-.75=12
6x=12.75n
x=12.75/6=2.125 or 2+1/8 miles </span>