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2 years ago

How many times larger is the area of Rectangle 2 than the area of Rectangle 1?

Mathematics

1 answer:

aivan3 [116]2 years ago

8 0

Answer:

I would need to see the rectangles and there areas to answer that sorry

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Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated

Illusion [34]

Answer:

$x=-2,0,3$

Step-by-step explanation:

We have been given a function $f(x)=15x^3-15x^2-90x$ . We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

$15x^3-15x^2-90x=0$

Now, we will factor our equation. We can see that all terms of our equation a common factor that is $15x$ .

Upon factoring out $15x$ , we will get:

$15x(x^2-x-6)=0$

Now, we will split the middle term of our equation into parts, whose sum is $-1$ and whose product is $-6$ . We know such two numbers are $-3\text{ and }2$ .

$15x(x^2-3x+2x-6)=0$

$15x((x^2-3x)+(2x-6))=0$

$15x(x(x-3)+2(x-3))=0$

$15x(x-3)(x+2)=0$

Now, we will use zero product property to find the zeros of our given function.

$15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0$

$15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0$

$\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0$

$x=0\text{ (or) }x=3\text{ (or) }x=-2$

Therefore, the zeros of our given function are $x=-2,0,3$ .

7 0

3 years ago

Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1

Serggg [28]

Answer:

y≤-1/2(x=4)+3

Step-by-step explanation:

4 0

2 years ago

The perimeter of a pool is 96 feet. If the length of the pool is 3 times its width, what is the width of the pool? Labeling the

k0ka [10]

Answer:

12 feets

Step-by-step explanation:

Let the area of the pool be Length×width

There will be 2lengths and 2widths as well so the perimeter of the pool will be the addition of all the sides of the pool i.e 2L + 2W = 96... (1)

And since the length of the pool is 3 times its width, we have

L = 3W... (2)

Substituting equation 2 into 1 to get the width 'W'

2(3W) + 2W = 96

6W + 2W = 96

8W = 96

W = 96/8

W = 12feets

The width of the pool is 12feets

4 0

3 years ago

1.Find the area of a trapezium with parallel sides of

Nana76 [90]

Answer:

The area of the trapezium is $74.8\ cm^2$

Step-by-step explanation:

Area of a trapezium:

$\displaystyle A=\frac{b1+b2}{2}h$

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

$\displaystyle A=\frac{15+7}{2}\cdot 6.8$

$A=74.8\ cm^2$

The area of the trapezium is $74.8\ cm^2$

6 0

3 years ago

↓↓↓↓↓↓↓↓↓↓↓↓↓ Help with all No words EXTRA POINTS!!!!

ivann1987 [24]

xy−5=k Flip the equation. k=xy−5
Answer is k=xy−5
I hope this helps

6 0

2 years ago

Read 2 more answers