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Natalka [10]
3 years ago
12

Y=2/3(x-5)^2

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

  see below

Step-by-step explanation:

The graph opens upward if the sign of the squared term is positive. If that sign is negative, the graph opens downward. The first three equations open upward; the last opens downward.

The line of symmetry is the value of x that makes the squared term zero. Here, that is x=5 for all equations.

<u>y=2/3(x-5)^2</u>:  A, D

<u>y=1/2(x-5)^2</u>:  A, D

<u>y=3/4(x-5)^2</u>:  A, D

<u>y=-4(x-5)^2</u>:  B, D

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Fill in the blank.
Amiraneli [1.4K]

Answer: x ≈ 18 ft

Step-by-step explanation:

We will use our trig knowledge to solve this.

The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.

We can set up a simple trig equation of: tan(50) = x/15

x being the height of the lamppost.

Now we solve.

tan(50) = 1.1918

1.1918 *15 = x

x = 17.876

Now round to the nearest foot.

x ≈ 18 ft

4 0
3 years ago
Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees​
Svetllana [295]

Answer:

1 tree every 45 mins

Step-by-step explanation:

6 0
3 years ago
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Please help me, question is the picture
Hitman42 [59]
The answer is 425 miles.

Both of the companies can be represented by an equation. The first company being f(a) and the second company bring f(b).
f(a)=$0.06x+65
f(b)=$0.10x+48
We want to find where they are equal, so we can set the equations equal to each other.
$0.06x+65=$0.10x+48
From here we can simplify the equation.
17=$0.04x
425=x
8 0
3 years ago
Read 2 more answers
Light travels at 2.998 x 10 miles per second. It takes
Olenka [21]

Answer: Coffiecent is 26

Step-by-step explanation

the travel from Sun to Jupiter  it will take more than 43 minutes . depending on whether are on the same side of the Sun as well as Jupiter  or on the other side

another point always sun and Jupiter are not nearest so only changes in the  light travels

4 0
3 years ago
The table below shows the distance d(t) in feet that an object travels in t seconds: t (seconds) d(t) (feet) 2 64 4 256 6 576 8
Thepotemich [5.8K]

Answer:

128 ft/s; it represents the average speed of the object between 2 seconds and 6 seconds

Step-by-step explanation:

The average rate of change is another way to say slope.

slope = (y2-y1)/(x2-x1)

      = (576-64)/(6-2)

      = (512/4)

     =128 ft/s


This represents the change in ft per second, or the  average speed the object is going during the time period.

5 0
3 years ago
Read 2 more answers
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