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3 years ago

Can someone help me with these?

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

6 0

Answer: You need to show us the graph for us to answer but the y intercept is where the line is on the vertical axis (Y)

Step-by-step explanation:

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2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

<u>Dashed line:</u>

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

<u>Solid line:</u>

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

4 years ago

Read 2 more answers

Please help with answers and showing the work

IceJOKER [234]

Answer:

10. the marked answer is correct

11. acute

Step-by-step explanation:

10. You know that side lengths of 3, 4, and 5 form a right triangle. (This is usually the very first Pythagorean triple you learn: 3² +4² = 5².) It is also the only Pythagorean triple in which the side lengths are three consecutive numbers. The next triple that uses two consecutive numbers is (5, 12, 13).

A: the numbers 4, 5, 7 cannot form a right triangle. They don't match one of the triples discussed above. 4²+5² = 41 ≠ 7²

B: if we multiply these numbers by 2 to make them integers, we get 7, 8, 9. We know from above these numbers are not a Pythagorean triple, so will not form a right triangle.

C: doubling these numbers give 3, 4, 5—a Pythagorean triple you know. This is the correct choice.

D: We know sides (3, 4, 5) form a right triangle. Then sides (3, 3, 5) cannot. If two of the sides are the same length (3, 5), the triangle will only be a right triangle if the third side is the appropriate length (4).

11. From our consideration of answer A above, we know that the longest side would have to be √41 > 6 in order for the triangle to be a right triangle. Since the longest side is too short to make a right triangle, the triangle must be an acute triangle.

7 0

4 years ago

Three ways to write a division problem

8090 [49]

My three examples would be, 15/3, 15 then the divided by sign 3. 15 over 3 too. Hope this helps!!!

6 0

3 years ago

Read 2 more answers

What is the exact volume of the cone?

Elan Coil [88]