Five pairs of points (X,Y) that satisfy the equation Y=-2X+5 may be the following:
For X=0: Y=-2*0+5=5 (0,5)
For X=1: Y=-2*1+5=3 (1,3)
For X=2: Y=-2*2+5=1 (2,1)
For X=3: Y=-2*3+5=-1 (3,-1)
For X=4: Y=-2*4+5=-3 (4,-3)
The slope of the function is m=-2. Correct answer: C
Answer:
There is no point of the form (-1, y) on the curve where the tangent is horizontal
Step-by-step explanation:
Notice that when x = - 1. then dy/dx becomes:
dy/dx= (y+2) / (2y+1)
therefore, to request that the tangent is horizontal we ask for the y values that make dy/dx equal to ZERO:
0 = ( y + 2) / (2 y + 1)
And we obtain y = -2 as the answer.
But if we try the point (-1, -2) in the original equation, we find that it DOESN'T belong to the curve because it doesn't satisfy the equation as shown below:
(-1)^2 + (-2)^2 - (-1)*(-2) - 5 = 1 + 4 + 2 - 5 = 2 (instead of zero)
Then, we conclude that there is no horizontal tangent to the curve for x = -1.
Answer:
336
Step-by-step explanation:
<span>The ramp forms a right triangle with legs 5 and 22.
Find the length of the hypotenuse using the Pythagorean theorem,
c=raiz((5)^2+(22)^2)=</span><span>
<span>22.56 ft
Answer
</span></span> the ramp is 22.56 ft long.