Answer:
A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A =
h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A =
× 3 × (3 + 7) = 1.5 × 10 = 15 units²
Answer:

Step-by-step explanation:
We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).
Recall that vertex form is given by:

Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:

It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:

Solve for <em>a: </em>
<em />
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In conclusion, our quadratic function in vertex form is:

Answer:
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Answer:
17 acres
Step-by-step explanation:
9 acres + 8 acres = 17 acres, if that wasn't what the question meant please let me know and I'll change the answer or try to help clear confusion.
Answer:
1/8.
Step-by-step explanation:
Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.
Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2 -1
= 1 / [ 2 * (16 - x)^1/2
Derivative of the denominator = 1
When x approaches 0 this is 1 / (2*4)
= 1/8.
Another way to do this is to multiply top and bottom by 4 + (16 - x)^1/2
This becomes 16 - (16 - x) / x(4 + (16-x)^1/2)
= 1 / (4 + (16 + x)^1/2
When x ---> 0
this = 1 /(4 + 4)
= 1/8.