Answer:
y(-4) = 5
y'(-4) = -7
Step-by-step explanation:
Hi!
Since the tangent line T and the curve y must coincide at x=-4
y(-4) = T(-4) = 5
On the other hand, the derivative of the curve evaluated at -4 y'(x=-4) must be the slope of the tangent line. Which inspecting the tangent line T(x) is -7
That is:
y'(-4) = -7
Full question:
In a basketball game, Elena scores twice as many points as Tyler. Tyler scores four points fewer than Noah, and Noah scores three times as many points as Mai. If Mai scores 5 points, how many points did Elena score? Explain your reasoning
Answer and explanation:
We start from known to unknown. We know that Mai scored 5 points and so we work from here.
Since Mai scored 5 points and Noah scored three times as many points then Noah's score = 3×5= 15 points
Since Tyler scored four points less than Noah, Noah's score= 15-4= 11 points
Finally Elena's score is twice that of Tyler hence Elena's score =2×11= 22 points
Step 
<u>Find the length of the side MN</u>
we know that
Applying the Pythagorean Theorem

Solve for MN

in this problem

Substitute in the formula above



Step 
<u>Find the value of cos (M)</u>
we know that
in the right triangle MNL


Substitute



therefore
The answer is
The value of cos(M) is equal to 
Answer:
1/3
Step-by-step explanation:
1 ÷ 3 = 1/3
1 divided by 3 is one-third, and one-third written as a fraction is 1/3.