Step-by-step explanation:
a) Perimeter is equal to 2w + 2L
2(3x + 4) + 2(x + 3)
6x + 8 + 2x + 6
8x + 14
b) Put 5 in x's place
8×5 + 14
40 + 14
54
c) Area = (3x + 4) * (x + 3)
Put 4 in x's place
(3×4 + 4) * (4 + 3)
12 + 4 * 7
16 * 7
112
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get



So we can say that

By converse of pythagorean theorem we get

Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
9514 1404 393
Answer:
y' = -sin(x)
Step-by-step explanation:
Your table of derivatives of trig functions tells you the derivative of the cosine is the opposite of the sine.
dy/dx = -sin(x)
Answer:
21 because I know I answered it
Answer:
log(5/4)
Step-by-step explanation:
You have to apply the properties of logarithms to the given expression in order to obtain a form with a single logarithm.
For example, the quotient rule:

In this case, log(x) = log (5/6 ) and log(y)= log (2/3)
Therefore x = 5/6 and y = 2/3
Applying the rule:
log (5/6 )− log (2/3) = 
Solving the argument of the logarithm (The division of the fractions)

The equivalent form is:
log(5/4)