<h3>
Answer: orthogonal </h3>
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Explanation:
For any two vectors defined as follows
u = <a,b>
v = <c,d>
the dot product is computed by
u dot v = a*c + b*d
If the dot product of the vectors is 0, then the vectors are orthogonal. Meaning they are perpendicular to one another.
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Let's find the dot product of these two given vectors
u = < 2, -4 >
v = < 6, 3 >
u dot v = 2*6 + (-4)*3
u dot v = 12 - 12
u dot v = 0
Therefore, these two vectors form a right angle and are <u>orthogonal</u>
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Extra info:
If we can show that u = <a, b> and v = <ka, kb> for some real number k, then we have shown that vectors u and v are parallel.
Answer: (-2, -2)
Step-by-step explanation:
We will graph the equations. Then, we will decide which of the points is a solution. See attached for the graph. The point of intersection is the solution. This means the only solution is,
(2, 2)
Answer:
twenty fifth
Step-by-step explanation:
Answer:
a. Area = 1.94m²
b. Area = (p² + 0.5)m²
c. Height = 1.5m
Step-by-step explanation:
Given
<em>Let H represents Height and A represents Area</em>
<em>From the first and second statements, we have that:</em>
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<em>a. Calculating Area When Height = 1.2</em>
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<em>Substitute 1.2 for H</em>
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Hence, the area is 1.94m²
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<em>b. Calculating Area When Height = p</em>
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<em>Substitute p for H</em>
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Hence, the area is (p² + 0.5)m²
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c. <em>Calculating Height When Area = 2.75m</em>²
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<em>Substitute 2.75 for A</em>
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<em>Subtract 0.5 from both sides</em>
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<em>Take Square Root of both sides</em>
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Hence, the height is 1.5m
We know that
[surface area]=2*[area of the base]+[perimeter of the base]*height
area of the base=15*13----> 195 in²
perimeter of the base=2*[15+13]----> 56 in
height=7 in
so
[surface area]=2*[195]+[56]*7-----> 782 in²
the answer is
782 in²