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1 year ago

Match the polynomial in the left column with its descriptive feature in the right column.

Mathematics

1 answer:

steposvetlana [31]1 year ago

6 0

Given:

$5a^2b^3$

To find the degree of the polynomial:

The degree of the given polynomial is, 2+3=5

So, the given polynomial is a fifth-degree polynomial.

Thus, the answer is a fifth-degree polynomial.

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Can someone help me with this question ? Show steps please

jek_recluse [69]

Answer:

B) $\boxed{A_T=108\;in^2}$

Step-by-step explanation:

That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.

The first step is to find the area of both bases like this:

$A_B=2\left(\dfrac{b\cdot h}{2}\right)=b\cdot h=4\cdot 3\\\\ \boxed{A_B=12\;in^2}$

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

$A_L=b_1\cdot h_1+b_2\cdot h_2+b_3\cdot h_3\\A_L=8\cdot3+8\cdot4+8\cdot5\\A_L=24+32+40\\\boxed{A_L=96\;in^2}$

Finally, we sum both of the areas found to calculate the total area.

$A_T=A_B+A_L\\A_T=12+96\\\boxed{A_T=108\;in^2}$

So, the answer is option B).

4 0

3 years ago

Which function is an example of exponential decay?

malfutka [58]

<span>A.) y = 0.3(2)x
These are exponential decay</span>

5 0

3 years ago

(long answer needed.)

denpristay [2]

Answer:

chocolate, marshmellows, and chocolate sprinkle

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Line m has the equation y = 1/2x - 4

Mandarinka [93]

Answer:

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

Step-by-step explanation:

We know that the slope-intercept of line equation is

$y=mx+b$

Where m is the slope and b is the y-intercept

Given the equation of the line m

y = 1/2x - 4

comparing with the slope-intercept form of the line equation

y = mx + b

Therefore,

The slope of line 'm' will be = 1/2

We know that parallel lines have the 'same slopes, thus the slope of the line 'n' must be also the same i.e. 1/2

Checking the equation of the line 'n'

$x-2y=4$

solving for y to writing the equation in the slope-intercept form and determining the slope

$x-2y=4$

Add -x to both sides.

$x - 2y + (-x) = 4+(-x)$

$-2y = 4 - x$

Divide both sides by -2

$\frac{-2y}{-2}=\frac{-x+4}{-2}$

$y=\frac{1}{2}x-2$

comparing ith the slope-intercept form of the line equation

Thus, the slope of the line 'n' will be: 1/2

As the slopes of both lines 'm' and 'n' are the same.

Therefore, we conclude that the equation x-2y=4 represents the equation of the line 'n' if lines m and n are parallel to each other.

3 0

3 years ago

Is x=-2 a positive slope

victus00 [196]

Answer:

Step-by-step explanation:

x = -2 represents a vertical line that intersects the x axis at the point (-2, 0). Since the line is vertical, the slope is undefined making it not have a positive slope.

Best of Luck!

7 0

3 years ago