For this case, the first thing we must do is define a variable:
x: total of pans of brownies.
We now write the expression for the last pan of brownie.
We have then:
y = 400 / x - 32
Answer:
an expression to find How many chocolate chips are in the last pan of brownies is:
y = 400 / x - 32
The average rate is 5 mps because 80 seconds times 5 equals 400 meters
Hypotenuse = 22*sq root (2)
I'm guessing you need to know the length of the triangle legs?
The triangle leg of a 45 45 90 triangle = hypotenuse / sq root (2)
triangle leg= 22* sq root (2) / sq root (2)
triangle leg=22
You found CD from the Pythagorean theorem to be ...
... CD = √(5² -2²) = √21
Since triangle ADC ~ triangle ACB, the ratios of corresponding sides are the same:
... AC/AD = AB/AC
... AB = AC²/AD
... AB = 5²/2 = 12.5 . . . . . . . the base of the overall triangle
_____
Then the area (A) is ...
... A = (1/2)bh
... A = (1/2)(12.5)(√21) ≈ 28.64 square units
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As you see here, the altitude of a right triangle divides it into three similar triangles. From smallest to largest, they are ...
... ADC ~ CDB ~ ACB
You can figure this using AAA similarity, since the smallest and largest triangles listed above share an acute angle vertex (∠A). That, together with the right angle, means all angles are congruent. After that, then you know ∠ACD ≅ ∠CBD, so you can show the middle sized triangle is similar to the other two.
The domain is a discrete set. So we will have a discrete range.
The range is a set containing:
f(-2)=-11
f(-1)=-9
f(0) = -7
f(1) = -5
f(2) = -3
Range = {-11,-9,-7,-5,-3}
