Answer:
its B- 6 sq. cm.
Step-by-step explanation:
1/2 times base times height
1/2 x 4 x 3
6
Answer:
- Powers of the variable descending left to right
- right side of the equal sign is 0
Step-by-step explanation:
For some constants a, b, and c, the standard form* is ...
ax^2 + bx + c = 0
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It is nice if the leading coefficient (a) is positive, but that is not required.
The main ideas are that ...
- Powers of the variable are descending
- All of the non-zero terms are on the left side of the equal sign
- Like terms are combined
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* This is the <em>standard form</em> for a quadratic. For other kinds of equations, when the expression is equal to zero, this would be called "general form."
Answer:
Step-by-step explanation:
Given
Solving (a): Write as inverse function
Represent a(d) as y
Swap positions of d and y
Make y the subject
Replace y with a'(d)
Prove that a(d) and a'(d) are inverse functions
and
To do this, we prove that:
Solving for 
Substitute 
for d in
Solving for: 
Substitute 5d - 3 for d in
Add fractions
Hence:
The number is -11/4 less than -8/3
Answer:
K = (1/2)r^2(sin(θ) +θ)
Step-by-step explanation:
The area of the triangle to the left is ...
A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)
The area of the sector to the right is ...
A2 = (1/2)r^2θ
so the total area of the blue shaded region is ...
K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ
K = (1/2)r^2(sin(θ) +θ)
