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2 years ago

In the figure above if PQRS is a square, what is the value of a?

Mathematics

1 answer:

yanalaym [24]2 years ago

6 0

Answer:

sino me quivoco es 1/53 espero aber ayudado

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The set {6, 7, 8, 9, 10} is part of the solution set for which inequality?

slava [35]

7, is the part of the solution set because of the number it has inside of it. 8 years old worth of

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3 years ago

The function f(x)=(x-5)^2 +2 is not one-to-one. Identify a restricted domain that makes the function one-to-one, and find the in

Anon25 [30]

We have been given a quadratic function $f(x)=(x-5)^{2} +2$ and we need to restrict the domain such that it becomes a one to one function.

We know that vertex of this quadratic function occurs at (5,2).

Further, we know that range of this function is $[2,\infty)$ .

If we restrict the domain of this function to either $(-\infty,5]$ or $[5,\infty)$ , it will become one to one function.

Let us know find its inverse.

$y=(x-5)^{2}+2$

Upon interchanging x and y, we get:

$x=(y-5)^{2}+2$

Let us now solve this function for y.

$(y-5)^{2}=x-2\\
y-5=\pm \sqrt{x-2}\\
y=5\pm \sqrt{x-2}\\$

Hence, the inverse function would be $f^{-1}(x)=5+\sqrt{x-2}$ if we restrict the domain of original function to $[5,\infty)$ and the inverse function would be $f^{-1}(x)=5-\sqrt{x-2}$ if we restrict the domain to $(-\infty,5]$ .

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3 years ago

Enoch is two times as old as MARTIN.three years ago,the difference between their ages was fifteen years.find their present ages

olga2289 [7]

9514 1404 393

Answer:

Enoch is 30
Martin is 15

Step-by-step explanation:

The difference in ages remains the same over time. Enoch, at twice Martin's age, is still 15 years older. That means Martin is 15 and Enoch is 30.

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3 years ago

What divided by 6 equals 7

vivado [14]

Answer:

Step-by-step explanation:

You can prove this by taking 42 and dividing it by 6, and you will see that the answer is 7. Tip: For future reference, when you are presented with a problem like "What divided by 6 equals 7?", all you have to do is multiply the two known numbers together.

6 0

3 years ago

Read 2 more answers

Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°

lesantik [10]

see the attached figure to better understand the problem

we know that

1) If angle 1 and angle 2 are complementary angles

then

m∠1+m∠2= $90\°$ ------> equation A