Find of area of the object
1 answer:
Answer:
140 ft²
Step-by-step explanation:
First, we divide the figure into the two visible polygons. The first being a right angled triangle and the second being a rectangle.
Area of a right angled triangle = <em>0·5 × b × h</em>
= 0·5 × 6 × 4 <em>I've included a picture to show where the 6 and 4 came from</em>
= 12 ft²
Area of a rectangle = <em>l × w</em>
= 16 × 8
= 128 ft²
Add the two areas to get the area of the figure
= 128 + 12
∴ the area of the figure is 140 ft²
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<h3>Answer: 25</h3>
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Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.