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Mashcka [7]
3 years ago
15

Does anyone know this, pls?

Mathematics
2 answers:
yan [13]3 years ago
8 0

Answer:

Addition property of equality

Explanation:

You are adding 7 to both sides

Hope this helps!

iogann1982 [59]3 years ago
8 0
Addition one because you add to both sides
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Find the area of a triangle bounded by the y-axis, the line f(x)=9−2/3x, and the line perpendicular to f(x) that passes through
MaRussiya [10]

Answer:

The area of the triangle is 18.70 sq.units.

Step-by-step explanation:

It is provided that a triangle is bounded by the y-axis, the line f(x)=y=9-\frac{2}{3}x.

The slope of the line is: m_{1}=-\frac{2}{3}

A perpendicular line passes through the origin to the line f (x).

The slope of this perpendicular line is:m_{2}=-\frac{1}{m_{1}}=\frac{3}{2}

The equation of perpendicular line passing through origin is:

y=\frac{3}{2}x

Compute the intersecting point between the lines as follows:

y=9-\frac{2}{3}x\\\\\frac{3}{2}x=9-\frac{2}{3}x\\\\\frac{3}{2}x+\frac{2}{3}x=9\\\\\frac{13}{6}x=9\\\\x=\frac{54}{13}

The value of <em>y</em> is:

y=\frac{3}{2}x=\frac{3}{2}\times\frac{54}{13}=\frac{81}{13}

The intersecting point is (\frac{54}{13},\ \frac{81}{13}).

The <em>y</em>-intercept of the line f (x) is, 9, i.e. the point is (0, 9).

So, the triangle is  bounded by the points:

(0, 0), (0, 9) and (\frac{54}{13},\ \frac{81}{13})

Consider the diagram attached.

Compute the area of the triangle as follows:

\text{Area}=\frac{1}{2}\times 9\times \frac{54}{13}=18.69231\approx 18.70

Thus, the area of the triangle is 18.70 sq.units.

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4 years ago
−8⋅f(1)−4⋅g(4)= Help me please!!
soldier1979 [14.2K]

I got:

− 8 f  −  16 g

|-i dunno if it's right-|

5 0
3 years ago
Read 2 more answers
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