1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
KengaRu [80]
3 years ago
15

You construct a tangent to circle O at point X on the circle, as shown below. What do you expect to be the measure of ∠OXY?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer: 90 Degrees :)

Step-by-step explanation:

Ur Welcome ;)

You might be interested in
[Will mark as brainliest]
Aleks04 [339]

The answer is: f^{-1} = 4x^2-3,\quad\text{for  } x \leq 0

The inverse of a function f(x) is another function, f^{-1}(x), with the following property:

f(f^{-1}(x)) = f^{-1}(f(x)) = x

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.

Think for example to a function that doubles the input, f(x)=2x, and one that halves it: f(x)= \frac{x}{2}. Their composition is clearly the identity function f(x)=x, since you consider "twice the half of something", or "half the double of something".

In general, to invert a function y=f(x), you have to solve the expression for x, writing an expression like x = g(y). If you manage to do so, then g is the inverse of f.

In your case, you have

f(x) = y = -\frac{1}{2}\sqrt{x+3}

Multiply both sides by -2 to get

-2y = \sqrt{x+3}

Square both sides to get

4y^2 = x+3

Finally, subtract 3 from both sides to get

x = 4y^2 - 3

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

f^{-1}(x) = 4x^2 - 3

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain b \in B such that there exists a \in A : f(a)=b. So, we need the range of f(x).

We know that the range of g(x)=\sqrt{x} is [0,\infty). When you transform it to g(x)=\sqrt{x+3} you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times -\frac{1}{2} you affect both extrema of the range, turning it into (-\infty,0], which you can simply write as x \leq 0

4 0
3 years ago
stions 5-7 the Grade 6 pupils graduated? In a school of 680 Grade 6 pupils, 646 graduated. What percent of the Grade 6 pupils gr
Natalka [10]

Answer:

95% of Grade 6 pupils graduated

8 0
2 years ago
Read 2 more answers
Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.
777dan777 [17]

Answer:

d= 4\sqrt{2} or 5.66

Step-by-step explanation:

(-2,7) and (2,3)

d = \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }

d= \sqrt{(2-(-2))^{2} + (3-7)^{2}  }

d = \sqrt{16 + 16}

d= 4\sqrt{2} or 5.66

7 0
2 years ago
What I’d the equation of a line that is perpendicular to -x+3y=9
m_a_m_a [10]

Answer:

Y=3x+3

Step-by-step explanation:

7 0
3 years ago
Which of the following represents a line with a slope of 4, x-intercept of (2, 0) and a y-intercept of (0, -8)?
katrin2010 [14]
I dont see a picture...?
6 0
3 years ago
Other questions:
  • Consider today's stock listings for bukkia hog farms, shown below. 52 wk high 52 wk low symbol div. close net change 212.45 106.
    12·2 answers
  • Write an equation for the nth term of the geometric sequence: 4, 8, 16 . . .​
    8·1 answer
  • Kevin can travel 22 1/2 miles in 1/3 hour what is his average speed in miles per hour
    13·1 answer
  • On a coordinate grid the coordinates of vertices p and q for polygon pars are p(5,4) and q(-2,4) what is the length of side pq?
    14·1 answer
  • Given the parent function f(x) = 2x, which graph shows f(x) − 1?
    5·1 answer
  • PLease help . . . . . . . .
    7·1 answer
  • True or false weight is a measurement of force
    8·1 answer
  • Mrs. Femandez starts out with $255 in her checking account. She deposits $35 on Monday. Tuesday afternoon she
    6·1 answer
  • I just need help on number one
    12·1 answer
  • Arianys wants to ride her bicycle 55.5 miles this week. She has already ridden 19 miles. If she rides for 5 more days, which equ
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!