Translate the sentence into an equation. Use n for the number.
1 answer:
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We have two triangles with base 9ft and height 12.3ft and two triangles with base 11ft and height 11.9ft.
The formula of an area of a triangle:
Triangle #1:
b = 9ft and h = 12.3ft. Substitute:
Triangle #2:
b = 11ft and h = 11.9ft. Substitute:
The Lateral Area:
1)
g(x) = f(x)+12 represents translating f(x) 12 units up to get g(x). This is because y = f(x), so we're effectively adding 12 to each y coordinate of the points on f(x) to have them move to the points on g(x).
note: the term "translating" is another way of saying "shifting" or "sliding".
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2)
h(x) = f(x)-7 means translating f(x) 7 units down to get h(x). We use the same reasoning as in problem 1. The general form is h(x) = f(x)+k, and in this case, k = -7. The negative k value tells us to shift down.
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3)
g(x) = f(x+8) means we translate 8 units to the left. The general template is g(x) = f(x-h). If h > 0, then we shift right. If h < 0, then we shift left. The amount that is shifted is equal to the absolute value of h.
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4)
h(x) = f(x-14) tells us to shift f(x) 14 units to the right. Same idea as problem 3, but now h = 14.
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5)
g(x) = 4*f(x) means we vertically stretch f(x) by a factor of 4. Since y = f(x), we are effectively doing g(x) = 4*f(x) = 4*y, which pulls the y coordinates upward by a factor of 4. A point like (1,2) will jump to (1,8) after multiplying the y coordinate by 4.
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6)
g(x) = f(5x) tells us to horizontally compress f(x) by a factor of 5. The general template is g(x) = f(a*x) where the 'a' determines horizontal stretching or compression. If , then we have horizontal stretching going on. If
, then we'll have horizontal compression.
The complete question in the attached figure
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume <span>of a triangular prism]=[(14.4*2.1)/2]*8.25
</span>[volume of a triangular prism]=124.74 mm³
the answer is 306
we know that
[volume of a triangular prism]=[area triangular base]*[length]
[volume <span>of a triangular prism]=[(14.4*2.1)/2]*8.25
</span>[volume of a triangular prism]=124.74 mm³
the answer is 306