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dmitriy555 [2]
3 years ago
10

The altitude of a triangle is increasing at a rate of 3 3 centimeters/minute while the area of the triangle is increasing at a r

ate of 3.5 3.5 square centimeters/minute. at what rate is the base of the triangle changing when the altitude is 8 8 centimeters and the area is 100 100 square centimeters?
Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0
(3 points) The altitude of a triangle is increasing at a rate of 1 cm/min<span> while the area of the triangle is increasing at a rate of 20 cm2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 100 cm2. = 2, namely, the base of the triangle is increasing at a rate of </span>2 cm/min<span>.</span>
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Which system of linear inequalities is represented by the graph?  ax – 3y &gt; 6 and y &gt; 2x + 4 bx + 3y &gt; 6 and y &gt; 2x 
igor_vitrenko [27]

The <em><u>correct answer</u></em> is:

bx + 3y > 6 and y > 2x + 4

Explanation:

Looking at the second inequality, the y-intercept is 4 and the slope is 2.  This means the graph of the line crosses the y-axis at (0, 4) and the line goes up 2 and over 1.  Since it is greater than, this means the graph is shaded above it.  Comparing this to the graph, the line for the blue part crosses the y-axis at (0, 4) and goes up 2 and over 1.  The graph is also shaded above the line.

For the first inequality, bx+3y > 6, we want to isolate y.  To do this, we subtract bx from each side:

bx+3y-bx > 6-bx

3y > 6-bx

Divide both sides by 3:

3y/3 > 6/3 - bx/3

y > 2 - (b/3)x

This means the line for this will have a y-intercept of 2 and decrease 1 while going over 3.  The orange section does this.  Additionally, since it is greater than, the graph should be shaded above the line.  This one is, so this is the correct answer.

3 0
3 years ago
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It Takes 40 minutes for 8 people to paint 4 walls
Nana76 [90]

Answer: 70

Step-by-step explanation:

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What is the slope of the line through (-4.2) and (3,-3)?​
Dennis_Churaev [7]

Finding the slope using the two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

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\frac{-3-2}{3 - (-4)}

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Answer:

see explanation

Step-by-step explanation:

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