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olga55 [171]
3 years ago
6

Which is the graph of the linear inequality 1/2 x – 2y > –6? Image for option 1 Image for option 2 Image for option 3 Image f

or option 4
e.d.g.e.n.u.i.t.y

Mathematics
2 answers:
raketka [301]3 years ago
8 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

\frac{1}{2}x-2y > -6

Isolate the variable y

-2y > -6-\frac{1}{2}x

Divide by -2 both sides

y < 3+\frac{1}{4}x

The solution of the inequality is the shaded area below the dashed line y = 3+\frac{1}{4}x

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

IgorC [24]3 years ago
8 0

Answer:

I think it is    D.

I could be wrong though, my apologies if I am :(

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A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long
damaskus [11]

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

               sin Ф = Height / length

-Solve for height

                height = length x sin Ф

-Substitution

                height = 75 x sin 35

-Simplification

                height = 75 x 0.574

-Result

                 height = 43 ft

6 0
2 years ago
What is the position of 7 in the number 876,543
horsena [70]
876,543

7 is <span>tens of thousands.</span>
6 0
3 years ago
PLEASE HELP QUICK 100 POINTS
MrRissso [65]

Answer:

Change per week: $20

Starting amount of money: $550

Step-by-step explanation:

<u>Given equation</u>:

y=550+20x

where:

  • x = number of weeks
  • y = total account balance

<u>Change per week</u>

As the variable x represents the number of weeks, its coefficient represents the change per week in the amount of money.

Therefore, the change per week in the amount of money in the account is $20.

<u>Initial Balance</u>

The starting amount of money in the account (initial balance) will be the value of y when x = 0:

\implies y=550+20(0)=550

Therefore, the starting amount of money in the account is $550.

4 0
1 year ago
Consider the points A(–5, 3) and B(–2, 5).
MariettaO [177]

Answer:

New coordinates for A - (2, -5)

New coordinates for B - (5, -3)

Step-by-step explanation:

When translating a point to the 7 units right, you must add 7 to the x coordinate. When translating a point 8 units down you must subtract 8 from the y coordinate.

4 0
2 years ago
Write an algebraic expression to represent each phrase:
sladkih [1.3K]

Answer:

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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