In this question, all you have to do is substitute 12 into all the places where it says x in the question.
Therefore:
g(12) = 3(12 + 8) = 3(20) = 60
So, g(12) = 60
You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
<em>a(t)</em> = 40 ft/s²
<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>
<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>
<em />
<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>
<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>
<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²
<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²
TO find perimeter you add all sides. But to find the totaly of each side, you will divide. So a triangle has 3 sides, so you divide 45 by 3 to get the sides length of:
15 cm each
~hope this helped :)
Answer:
Explanation:
The question states the <em>congruent</em> images:
- ABCD ≅ FGHI ≅ JKLM ≅ NOPQ ≅ RSTU
The order of the letters matters.
For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.
From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.
As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.
Answer: 86.5 in²
Step-by-step explanation: Circumference is2·pi·r= 32.97 in.
Radius r = 32.97 in/ 2pi = 5.247 in. Area is pi·r²
