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DiKsa [7]
3 years ago
7

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 3, negative 5) and (0, negative 4).

Everything to the right of the line is shaded.
Which linear inequality is represented by the graph?

y ≥ One-thirdx – 4
y ≤ One-thirdx – 4
y ≤ One-thirdx + 4
y ≥ One-thirdx + 4
Mathematics
2 answers:
34kurt3 years ago
5 0

Answer

y ≤ 1/3x – 4

Step-by-step explanation:

I just took the test

Evgesh-ka [11]3 years ago
4 0

Answer:

y ≤ One-thirdx – 4

Step-by-step explanation:

The key hint to know this answer is to understand that the line cuts the y-axis at -4. And, we can know that y is less than or equal to (≤) 1/3x-4 for the shaded area to the RIGHT of the line, telling us that y exists for all values from -4 and under.

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Find the value of x round to the nearest tenth
Leto [7]

Answer:

58.6

Step-by-step explanation:

Use the formula c=\sqrt{a^{2}+b^{2}

solving for x (b)

b=\sqrt{c^{2}-a^{2} = \sqrt{61^{2}-17^{2} ≈58.58327

and 58.58327 rounds to 58.6

4 0
3 years ago
In the number 3,287,854 how many times greater is the value of the 8 in the ten thousands place compared to the value of the 8 i
olga55 [171]

8 in the 10,000s place is worth 80,000.

8 in the hundreds place is worth 800.

80,000/800 = 100

Answer: 100 times.

6 0
3 years ago
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Answer:

923

Step-by-step explanation:

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3 0
2 years ago
Find equations of the line that is parallel to the z-axis and passes through the midpoint between the two points (0, −4, 9) and
Lorico [155]

Answer: x = -4, y = 0.5, z = 5 +t

Hi!

The line L whose direction is parallel to vector V a passes through point A

is parametrized

P_L = Vt + A

Where t, is a real number, and P_L is a any point on line L.

In this case the direction is that of the z-axis , so V = (0, 0, 1)

A is the midpoint between points B = (0, -4, 9) and C=(-8, 5, 1)

The midpoint is A = (B + C)/2 = (-4, 0.5, 5)

Then the line is:

P_L = (0,0,1) t + (-4, 0.5, 5)

The equations for each coordinate are:

x = -4\\y = 0.5\\z = 5 + t

7 0
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Step-by-step explanation:

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