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sergij07 [2.7K]
2 years ago
10

Identify all statements that are true when graphing the following square root function: f(x)=-√x-2 + 3

Mathematics
1 answer:
Mars2501 [29]2 years ago
4 0

Answer:

II. The vertical shift is up 3 spaces.

III. The square root graph will flip.

Step-by-step explanation:

The given equation is;

f(x) =  -  \sqrt{x - 2}  + 3

From the given function, we deduce the parent function to be:

g(x) =  \sqrt{x}

So we can see that the transformation is of the form.

f(x) =  - g(x - 2) + 3

So there is a horizontal shift of 2 units to the right.

There is a vertical upward shift by 2 units.

There is also a reflection in the x-axis, so the parent graph will flip.

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Find the hypotenuse of an isosceles right triangle when the legs each measure 3\sqrt{x} 2inches.
Tresset [83]

The hypotenuse of the right triangle measures 3 units.

<h3>How to find the hypotenuse?</h3>

Here we know that both legs measure:

L  =\frac{3}{\sqrt{2} }

If we use the Pythagorean theorem, we will see that the hypotenuse H can be written as:

H^2 = (\frac{3}{\sqrt{2} } )^2 +  (\frac{3}{\sqrt{2} } )^2 \\\\H^2 = \frac{9}{2} + \frac{9}{2} = \frac{18}{2} = 9\\\\H = \sqrt{9} = 3

Then we conclude that the hypotenuse of the right triangle measures 9 units.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

6 0
1 year ago
Reflection: Across the line y = -1 ​
eduard

The A’ is your reflected shape. The red line is y=-1, or your line  right reflection.  To solve, I counted the distance from the red line on the original triangle, and then the same on the opposite side of the red line, and counted the same distance, plotting the points at the final spot.

8 0
2 years ago
The length of a rectangle is 8 inches longer than half of its width.The area of the rectangle is 18 square inches.How many inche
SOVA2 [1]

Answer:

The correct answer is 2 inches.

Step-by-step explanation:

Let l inches and w inches be the length and width of a rectangle respectively.

According to the given problem, l - 8 = \frac{w}{2}.

Area of the rectangle is given to be, according to the question, 18 square inches.

Thus l × w = 18

⇒ l × (2l - 16) = 18

⇒ 2 l^{2} - 16l - 18 = 0

⇒  l^{2} - 8l - 9 = 0

⇒ ( l - 9) ( l + 1) = 0

The possible values of l are 9 and -1. As the length cannot be equal to -1, thus the value of the length is 9 inches.

Width of the rectangle is 2 inches.

5 0
3 years ago
Blank tens 15 ones = 6 tens 5 ones
alexgriva [62]
5 tens because 6 tens plus 5 ones is equal to 65 and x tens plus 15 ones is equal to 65 also so it would be 5 tens because 5 times 10 equals 50 then plus 15 equals 65 so 65=65

Answer: 5 tens

Hope This Helps!!!
6 0
3 years ago
Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train
mash [69]
Speed = distance / time
since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2

speed = 585/(13/2) = 90 miles per hour.
6 0
3 years ago
Read 2 more answers
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