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Shtirlitz [24]
2 years ago
9

Find the domain and range of y= square root of x minus 1​

Mathematics
1 answer:
hoa [83]2 years ago
6 0

Answer:

Assuming that we are working in real number domain, it is obvious x cannot take values less than one. Hence, domain is x≥1 . However, as √x−1 , y can take any value. Hencr, range is all real numbers.

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Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex.
topjm [15]

Given:

The three vertices of a parallelogram are (-3,8), (4,5), (2,-5).

To find:

The fourth vertex of the parallelogram.

Solution:

Let the vertices of the parallelogram are A(-3,8), B(4,5), C(2,-5) and D(a,b).

We know that, diagonals of a parallelogram bisect each other. It means midpoints of both diagonals are same.

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Two diagonals of ABCD are AC and BD.

Midpoint of AC = Midpoint of BD

\left(\dfrac{-3+2}{2},\dfrac{8-5}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

\left(\dfrac{-1}{2},\dfrac{3}{2}\right)=\left(\dfrac{4+a}{2},\dfrac{5+b}{2}\right)

On comparing both sides, we get

\dfrac{4+a}{2}=\dfrac{-1}{2}

4+a=-1

a=-1-4

a=-5

And,

\dfrac{5+b}{2}=\dfrac{3}{2}

5+b=3

b=3-5

b=-2

Therefore, the coordinates of fourth vertex are (-5,-2).

3 0
2 years ago
Nate biked 56 miles in 4hours. what was Nates average speed for 1 hour?<br>​
son4ous [18]
The answer to this one is simple.
An equation to model with would be
? * 4 = 56.

To find ? All you have to do is divide 56 by 4.

So the answer to your question is 14 miles per hour.

Hope I did this right and hope I helped you :))))
5 0
3 years ago
Can someone please help me with this page and show work ?!?! I’m struggling with this will give brainleist!
egoroff_w [7]
You can download this app called photo math and take a pic of it and it tells you the answer
3 0
3 years ago
Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the.
Tomtit [17]

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

3 = -1/6(12) + b

3 = -2 + b

b=5

Step-by-step explanation:

3 0
2 years ago
Which of the following is grater than 0.30 and less than 0.50?
Mars2501 [29]

None of the numbers on the list of choices that you posted
with the question meets those conditions.


6 0
3 years ago
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