PLEASE HELP! Thank you!

Mathematics

1 answer:

Lilit [14]3 years ago

7 0

T⁻¹ is the inverse function of T.
To get the inverse function, replace x with y and y with x.
So T⁻¹(x, y): (x + 2, y - 7)

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Perform the indicated operation.

Vladimir [108]

$\frac{2(a-3)}{(3+a)(3-a)}$

Step-by-step explanation:

This can be written as;

$\frac{8}{9-a^2} *\frac{a^2-6a+9}{4a^2-4a-24}$

Perform factorization

9-a²=difference of squares formula

(3+a)(3-a)

4a²-4a-24

4(a²-a-6)

4(a²-3a+2a-6)

4(a(a-3)+2(a-3))

4((a+2)(a-3))

a²-6a+9

a²-3a-3a+9

a(a-3)-3(a-3)

(a-3)(a-3)

Rewrite the operation as;

$\frac{8}{(3+a)(3-a)} *\frac{(a-3)(a-3)}{4((a+2)(a-3)}$

cancel common to remain with;

$\frac{2(a-3)}{(3+a)(3-a)}$

Learn More

Factorization : brainly.com/question/11930808

Keywords : Operation

#LearnwithBrainly

7 0

3 years ago

South of the White House in Washington, D.C., is the President’s Park South, or the Ellipse, which hosts events such as the Whit

kari74 [83]

To answer this, we need to start with the standard equation for an ellipse:
(x^2/a^2)+(y^2/b^2)=1
Where a is one half of one axis, and b is one half of the other.
The problem states that one axis is 1057 ft, and the other is 880 ft, so divide these values by 2 and square them. This results in:
(x^2/279,312.25)+(y^2/193,600)=1
For verification, if you have a graphing calculator, solve for y, set the size of the window so it should perfectly fit the ellipse, and check (it does)

3 0

4 years ago

Of 60 students, 24 students have a pet. What is the ratio of students with pets to students without pets?

frosja888 [35]

Answer

Find out the what is the ratio of students with pets to students without pets .

To prove

As given

of 60 students, 24 students have a pet.

Thus Total number of student = 60

students have pets = 24

students without pets = 60 - 24