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2 years ago

4. Identify the term with coefficient -3 in the expression: 9a3 + 4b2 - 3c + 11

Mathematics

1 answer:

Mrrafil [7]2 years ago

8 0

Answer:

-3 is the coefficient of c.

Step-by-step explanation:

The given expression is :

9a³ + 4b² - 3c + 11

We need to find the term with coefficient -3 in the expression.

The coefficient is defined as a number or quantity placed with a variable.

The coefficient of a³ = 9

The coefficient of b² = 4

The coefficient of c = -3

Hence, -3 is the coefficient of c.

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Read 2 more answers

A surveyor leaves her base camp and drives 42km on a bearing of 032degree she then drives 28km on a bearing of 154degree,how far

ValentinkaMS [17]

Answer:

The surveyor is 36.076 kilometers far from her camp and her bearing is 16.840° (standard form).

Step-by-step explanation:

The final position of the surveyor is represented by the following vectorial sum:

$\vec r = \vec r_{1} + \vec r_{2} + \vec r_{3}$ (1)

And this formula is expanded by definition of vectors in rectangular and polar form:

$(x,y) = r_{1}\cdot (\cos \theta_{1}, \sin \theta_{1}) + r_{2}\cdot (\cos \theta_{2}, \sin \theta_{2})$ (1b)

Where:

$x, y$ - Resulting coordinates of the final position of the surveyor with respect to origin, in kilometers.

$r_{1}, r_{2}$ - Length of each vector, in kilometers.

$\theta_{1}, \theta_{2}$ - Bearing of each vector in standard position, in sexagesimal degrees.

If we know that $r_{1} = 42\,km$ , $r_{2} = 28\,km$ , $\theta_{1} = 32^{\circ}$ and $\theta_{2} = 154^{\circ}$ , then the resulting coordinates of the final position of the surveyor is: