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kati45 [8]
3 years ago
12

Find the domain of the following function f(x)=sqrt x-4. write your answer in interval notation.

Mathematics
2 answers:
AlladinOne [14]3 years ago
8 0
X has to be equal or greater than four, so the interval notation would be [4,∞)
zvonat [6]3 years ago
3 0

Answer:

[4,\infty)

Step-by-step explanation:

We have been given a function f(x)=\sqrt{x-4}. We are asked to find the domain of our given function.

We know that domain of a function is all values of independent variable for which function is defined.

We also know that square root of negative numbers is not defined.

The domain of our given function will be all non-negative values of x as:

x-4\geq 0

x-4+4\geq 0+4

x\geq 4

Therefore, the domain of our given function is all values of x greater than or equal to 4 that is [4,\infty) in interval notation.

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The radius would be 2
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3 years ago
Plz help me with my geometry asap 50 pts and brainliest NO SCAMMING OR I WILL REPORT
bearhunter [10]

Step-by-step explanation:

1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.

2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)

3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)

4. that means that ΔADB ≅ΔCDB via SSS rule.

5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)

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4 0
2 years ago
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Compute the probability of randomly selecting an eight or jack
Anit [1.1K]

Answer:

2/13

Step-by-step explanation:

In a regular deck of cards, there are a total of 52 cards. Of these, there are 4 8's and 4 jacks, making a total of 8 "desirable" outcomes. Therefore, the probability is 8/52=2/13. Hope this helps!

6 0
3 years ago
Please help, I’ll mark your answer as brainliest!
statuscvo [17]

Answer:

(x-230)^2+(y-220)^2=6100

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius. Immediately, since the center of the circle is given, we know what h and k are. h is 230 and k is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that d=\sqrt{x^2+y^2}, where x is the change in the x-coordinates of the two points and y is the change in the y-coordinates of the two points. Plug-in x for 60 and y for 50 to get d=\sqrt{50^2+60^2}. Solve for d, arriving at \sqrt{6100}. Therefore, the radius of the circle is \sqrt{6100}.

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for h, 220 for k, and \sqrt{6100} for r.

The equation of the circle will be (x-230)^2+(y-220)^2=6100.

Hope this helps :)

4 0
2 years ago
What is the area of the triangle?
fomenos

Answer:

1012.5

Step-by-step explanation:

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3 years ago
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