Answer:
252
Step-by-step explanation:
When it comes to perimeter, the ratio is the same. So, the scale factor of the perimeters in this problem is simply, 3.5. To find the new perimeter, multiply 3.5 by 72 to get 252. :)
Answer:
3u - 2v + w = 69i + 19j.
8u - 6v = 184i + 60j.
7v - 4w = -128i + 62j.
u - 5w = -9i + 37j.
Step-by-step explanation:
Note that there are multiple ways to denote a vector. For example, vector u can be written either in bold typeface "u" or with an arrow above it
. This explanation uses both representations.
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There are two components in each of the three vectors. For example, in vector u, the first component is 11 and the second is 12. When multiplying a vector with a constant, multiply each component by the constant. For example,
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So is the case when the constant is negative:
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When adding two vectors, add the corresponding components (this phrase comes from Wolfram Mathworld) of each vector. In other words, add the number on the same row to each other. For example, when adding 3u to (-2)v,
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Apply the two rules for the four vector operations.
<h3>1.</h3>

Rewrite this vector as a linear combination of two unit vectors. The first component 69 will be the coefficient in front of the first unit vector, i. The second component 19 will be the coefficient in front of the second unit vector, j.
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<h3>2.</h3>
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<h3>3.</h3>
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<h3>4.</h3>
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The diagonal of the rectangle is equivalent to finding the length of the hypotenuse of a right triangle with sides 3 and 4. Using the Pythagorean Theorem:
32+42=hypotenuse2
25=hypotenuse2
Is this even a middle school question??
Answer:
x=23
Step-by-step explanation:
132+128+4x+2+5x-11+4x-10=540
13x+241=540
13x=540-241
13x=299
x=23