All categories

3 years ago

Place the indicated product in the proper location on the grid. (y x - 5)(y x + 5)

Mathematics

1 answer:

inessss [21]3 years ago

6 0

Answer:

Step-by-step explanation:

To get the product of the function (y x - 5)(y x + 5), we will have to expand the bracket as shown;

= (y x - 5)(y x + 5)

= (yx)² + 5yx-5yx- 5(5)

= (yx)² + 5yx-5yx- 25

=(yx)² +0- 5(5)

= y²x² - 25

The product is expressed as y²x² - 25

You might be interested in

Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the <u>Quadratic</u><u> formula</u> , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

8 0

3 years ago

Solve each system by substitution

Ira Lisetskai [31]

Answer:

1. 2x + 3y =22

y=4

C. (5,4)

2. y=0

-5x - 2y = -15

B. (3,0)

Step-by-step explanation:

2x+(3)(4)=22

Step 1: Simplify both sides of the equation.

2x+12=22

Step 2: Subtract 12 from both sides.

2x+12−12=22−12

2x=10

Step 3: Divide both sides by 2.

2x/2 = 10/2

x=5

====================================================================

−5x−(2)(0)=−15

Step 1: Simplify both sides of the equation.

−5x−(2)(0)=−15

−5x+0=−15

(−5x)+(0)=−15(Combine Like Terms)

−5x=−15

Step 2: Divide both sides by -5.

−5x/−5 = −15/−5

x=3

4 0

3 years ago

In a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class

Alika [10]

<h2>Hope it is helpfully.</h2><h3>Have a nice day.</h3>

6 0

3 years ago

If quarterly payments are made for 15 years, find the value for n in the following present value ordinary annuity formula.

miss Akunina [59]

Answer:

b. (60)

Step-by-step explanation:

n represents the number of payments. If there are 4 per year for 15 years, that's a total of 4×15 = 60 payments.

n = 60

7 0

3 years ago

Given: m∠ACB = m∠ABC<br>Prove: ∠XCA = ∠YBA

klio [65]

Answer:

Given that <ACB is congruent to <ABC we can infer that the triangle formed is an isosceles triangle. If B and C are both congruent and the distance from c and x and b and y are also congruent than the angles are congruent.

Step-by-step explanation:

4 0

3 years ago