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Liono4ka [1.6K]
3 years ago
9

Answer both of the questions please :< no links!!!

Mathematics
2 answers:
olganol [36]3 years ago
6 0

Answer:

The answer to the first one is 37.5

The answer to the second one is 108

A=bh=12·9=108

SIZIF [17.4K]3 years ago
3 0

Answer:

First one: 37.5

Second one: 108

Step-by-step explanation:

For the first one:

the figure shown is a triangle

The area of a triangle can be calculated using this formula

A=\frac{bh}{2} where b = base length and h = height

The triangle shown has a height of 7.5 and a base length of 10

Using this information we plug in the values into the formula.

A=\frac{7.5*10}{2} \\7.5*10=75\\\frac{75}{2} =37.5\\

Hence the area of the figure is 37.5 square units

For the second one.

The figure shown is a parallelogram with a height of 9 and a base length of 12

The area of a parallelogram can simply be calculated by multiplying the base length by the height

So area = 9 * 12

9 * 12 = 108

Hence the area of the figure is 108 square units

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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
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We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling <em>v</em> by an arbitrary real number <em>t</em>.

The line through point <em>P</em> and pointing in the same direction as <em>v</em> is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector <em>p</em> that points to (-4, 5, 2), so the vector equation for this line is

<em>r </em>(<em>t </em>) = <em>p</em> + <em>t v</em>

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<em>r </em>(<em>t </em>) = (-4 - 6<em>t</em>, 5 + 6<em>t</em>, 2 - 5<em>t</em> )

To get the parametric equations, simply take out the components:

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\boxed{x=3}

Step-by-step explanation:

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6x+y=18 \\ \\ is \ written \ in \ standard \ form

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<h2>Learn more:</h2>

Parabola: brainly.com/question/10605728

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Step-by-step explanation:

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