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Nataly [62]
3 years ago
8

Graph the solution set of this inequality: 5x − 4y > 20.

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Solve the inequality 5x − 4y > 20 for y, as follows:  Subtract 5x from both sides, obtaining:

-4y > 20 - 5x;

Then divide all terms by -4:

y    < -5 +(5/4)x, where the direction of the inequality sign has been reversed because of division by a negative quantity.

Temporarily replace the < symbol with =     obtaining    y = -5 +(5/4)x.  Now choose at least three x values and find the corresponding y values.  For example:

 x      y = -5 +(5/4)x  

 0          -5

 4            0

 -8         -15

Now plot these three points (0, -5), (4, 0) and (-8, -15).  Draw a dashed line through them.  Because of the < symbol in y    < -5 +(5/4)x, shade the area underneath the dashed line.

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Find the length of the third side. If necessary, write in simplest radical form.
Zanzabum

Answer:

Step-by-step explanation:

We have to find a leg, so we have to use the Pythagorean theorem in this way:

\sqrt{7^2 - 4^2} = \sqrt{49 - 16} = \sqrt{33}

6 0
3 years ago
Which expression is equivalent to 4^-5 • 3^-5 ?
valkas [14]

The expression equivalent to 4^-5 • 3^-5  is 12^-5

<h3>What are equivalent expressions?</h3>

Equivalent expressions are simply known as expressions with the same solution but different arrangement.

Given the index expressions;

4^-5 • 3^-5

Using the exponent rule, the two values are have different bases but the same exponent and thus, we multiply the bases and leave the exponents the same way.

This can be written as;

4(3) ^ -5

expand the bracket

12^-5

Thus, the expression equivalent to 4^-5 • 3^-5  is 12^-5

Learn more about equivalent expressions here:

brainly.com/question/24734894

#SPJ1

7 0
2 years ago
I need help on this 2 problems please help​
Digiron [165]

Answer:

3. 294 m²

4. 185,856 mm²

Step-by-step explanation:

To find the surface area of any figure, you can simply find the sum of the areas of all the sides.  In question 3, the figure is a triangular prism that has two triangular bases and three rectangular sides.  The measurements for the triangles are b = 9m and h = 6m.  The formula for the area of a triangle is base times height divided by 2, or 9 x 6 = 54/2 = 27 m². However, since there are two triangular bases, the area for both is 54 m².  The measurements for the other three rectangles are given:

7(10) + 8(10) + 9(10) = 240 m² + 54 m² = 294 m²

The surface area of a cube is much easier since all sides are equal and can be found using the formula:

SA = 6s², where 's' represents the measure of a side.

SA = 6(176)² = 185,856 mm²

6 0
3 years ago
6.371 in lowest terms
kozerog [31]
Well you would have to round this 5 and above goes up. Since 1 is lower than 5 that would leave you at 6.37. 7 rounds up so that would change to 6.4. Lastly 4 would round down, So that would leave you with 6. Now 6 is the simplest form but if your looking for rounded to the nearest tenth the answer would be 6.4. If your looking for rounded to the nearest 100th place 6.37. But over all simplest form is 6.
5 0
3 years ago
To find the answers
8_murik_8 [283]
1,876,200 - if it's higher than 5 go up - that means 1,880,000

1,876,200 - means 1,900,000
1,876,200 means 2,000,000
    
4 0
3 years ago
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