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3 years ago

What is the complete factorization of 36y^2 - 1?

Mathematics

1 answer:

sammy [17]3 years ago

7 0

Answer:

(6y + 1) (6y - 1)

Step-by-step explanation:

The binomial can be factored using the difference of squares formula.

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Evaluate for the given value of the variable 7/8 x c for c = 8

MAVERICK [17]

At c=8:

7/8* c
= 7/8* (8)
= 7 (because 8 and 8 cancel out)

The final answer is 7~

5 0

3 years ago

Read 2 more answers

Solve the equation. x2 + 14x = −40 The solutions to the equation are blank and blank

slava [35]

Answer

x = − 4,− 10

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

7 0

3 years ago

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Find the domain of the rational function. C(x) = x+9/X^2 -16

scoundrel [369]

Answer:

Domain = {x : x ≠ 4 , -4} or (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Step-by-step explanation:

TO FIND :-

Domain of $C(x) = \frac{x + 9}{x^2 - 16}$

SOLUTION :-

Domain of a function is a value for which the function is valid.

The function $C(x) = \frac{x + 9}{x^2 - 16}$ is valid until the denominator is 0.

So make sure that the denominator must not be 0.

$=> x^2 - 16 > 0$

Find the values of x for which the denominator becomes 0. To find it , you'll have to solve the above inequality.

Add 16 to both the sides

$=>x^2 - 16 + 16 > 0 + 16$

$=> x^2 > 16$

$=> x > \sqrt{16}$

$=> \boxed{x > 4} \: or \:\boxed{x > -4}$

We can say that 4 & -4 can't be domains because these values will make the function undefined.

Now try putting values of x such that -4 < x < 4. You'll observe that the function will be valid for all those values of x between -4 & 4.

CONCLUSION :-

The function will be valid for any value of 'x' except 4 & -4. So in :-

Interval notation , it can be written as → (-∞ , -4) ∪ (-4 , 4) ∪ (4 , ∞)

Set builder notation , it can be written as → {x : x ≠ 4 , -4}

6 0

3 years ago

Can you explain to me (detailed) on how to do this problem? I will give you a brainly if you get this right.

Alex Ar [27]

Given : 

length = 12km
breadth = 2km

To find : 

Area of rectangle

Formula :

Area of rectangle = length × breadth .

procedure :

putting value of the given data into formula :

Area of rectangle = 12km ×2 km

= 24km ^2

Ans = 24km^2

${ \boxed{\pink{ \bold{area \: of \: rectangle = 24 {km}^{2} }}}}$

4 0

3 years ago

Read 2 more answers

I NEED HELP ASAP Find the area of the trapezoid by decomposing it into other shapes.

disa [49]

Answer:

Area of the trapezoid is 38 cm²

Step-by-step explanation:

Step 1: Area of the trapezoid can be found by decomposing it into 2 triangles and a rectangle.

Step 2: Find area of first triangle. Given base = 5 cm and height = 4 cm

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A1 = 1/2 * 5 * 4 = 10 cm²

Step 3: Find area of rectangle. Given breadth = 4 cm (Same as height of triangles) Length = 6 cm. Substitute in formula for area of rectangle = length * breadth

Area of rectangle, A2 = 4 * 6 = 24 cm²

Step 4: Find area of second triangle. Given height = 4 cm (same as the other triangle) and base = 2 cm (8 cm - 6 cm)

Substitute in formula for area of triangle = 1/2 base * height

Area of triangle, A3 = 1/2 * 2 * 4 = 4 cm²

Step 5: Calculate total area = A1 + A2 + A3 = 10 + 24 + 4 = 38 cm²

7 0

3 years ago