Answer:
A and C are correct.
Step-by-step explanation:
A: 15 + 26 is greater than 41 so it will form a triangle
B: 15 + 36 is not equal to 41 so it will not form a triangle
C: 15 squared + 36 squared = 1,521
41 squared = 1,681
Since a squared + b squared not-equals c squared, it will not be a right
triangle.
D: 15 squared + 36 squared = 297
41 squared = 82
A is correct because any 2 sides of a triangle must be greater than the third.
B is incorrect because it cannot equal the third side, but must be greater than.
C is correct because in a right triangle, the sum of the square of the legs must be equal to the square of the hypoteneuse.
D just does not make sense.
Answer:
if y = 5 than 2x - 5 = 5 we can simplify this too 2x = 10 ( by adding the 5 to both sides ) now we can simplify and get x = 5 ( by dividing by 2 ) so we get (5,5) as our first point. well since its in slope intercept form ( y = mx + b ) we can graph it.
Step-by-step explanation:
J/-2 + 7 = -12 multiply both sides with 2
-j + 14 = -24 move -14 to the other side and change sign
-j= -24 - 14
-j = -38 and if you divide -38 with -1 you get + 38
j=38
Answer:
it's the 2nd one
Step-by-step explanation:
hoped I helped:)
Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:
Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
![\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bw%5Cell%5D)
By the Product Rule:
Since we know that dl/dt = 6 and that dw/dt = 5:
We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
