Given Fig.is a triangle
Perimeter is simply sum of the all sides of a triangle
1/3x + 7/x^2 + (x+2)/x
=[ x+ 21 + 3x(x+2)]/3x^2
= (x+ 21 + 3x^2 + 6x)/3x^2
= (3x^2 + 7x +21)/3x^2
The domain is {0≤x≤200}.
This is because the domain is x, the number of cakes. The smallest number of cakes she can bake is 0.
Since she is buying enough materials to make 200 cakes, this number is the largest number of cakes she can bake.
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:
(13,6)
Step-by-step explanation:
The answer is D
Because if you replace the variables just by testing them they give the answer as X=-3 and Y=3.
In which replacing:
3(-3)+5(3)=6
and with the other equation we've got:
4(-3)+2(3)=-6
so they comply with the required to be the correct answer, even though you can make a system of equation.