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The width of a rectangle is 6 m shorter than its length. If the perimeter of the rectangle is 52 m, find its length and width.

sineoko [7]

Answer:

Length = 16 m , width = 10 m

Step-by-step explanation:

Let the Length of the rectangle be L meters.

Now, Width of the rectangle is (L-6) m.

Perimeter of the Rectangle = 52 m

Now, we know that

Perimeter of the Rectangle = 2(L+W)

⇒ 2(L+W) = 52 m

or, 2(L + (L-6)) = 52 m

Simplifying, we get 2L + 2L -12 = 52

or, 4L = 64

or, L = 16 m

So, width = L- 6 = (16-6) m = 10 m

So, length = 16 m

and width = 10 m

7 0

3 years ago

Which is true about the polynomial y2 – 3y + 12?

Alja [10]

Y^2 - 3y + 12

It has 3 terms (y^2) and (-3y) and (12)...therefore, it is a trinomial.

The degree of a polynomial with 1 variable is the highest exponent...so it has a degree of 2. But if it had more then 1 variable, it would be different.

answer is : trinomial with a degree of 2

8 0

4 years ago

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Classify each of the power functions based on their end behavior (increasing or decreasing) as x = ∞

Svetlanka [38]

Answer: right side behavior:

f(x) is Decreasing

g(x) is Increasing

h(x) is Increasing

j(x) is Decreasing

Step-by-step explanation:

The rules for end behavior are based on 2 criteria: Sign of leading coefficient and Degree of polynomial

Sign of leading coefficient (term with greatest exponent):

If sign is positive, then right side is increasing
If sign is negative, then right side is decreasing

Degree of polynomial (greatest exponent of polynomial:

If even, then end behavior is the same from the left and right
If odd, then end behavior is opposite from the left and right

f(x) = -2x²

Sign is negative so right side is decreasing
Degree is even so left side is the same as the right side (decreasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Decreasing

g(x) = (x + 2)³

Sign is positive so right side is increasing
Degree is odd so left side is opposite of the right side (decreasing)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -∞ Decreasing

$h(x)=-1+x^{\frac{1}{2}}\implies h(x)=x^{\frac{1}{2}}-1$

Sign is positive so right side is increasing
Degree is an even fraction so left side is opposite of the right side as it approaches the y-intercept (-1)

as x → +∞, f(x) → +∞ Increasing

as x → -∞, f(x) → -1 Decreasing to -1

$j(x)=\dfrac{1}{2}(-x)^5\implies j(x)=\dfrac{1}{2}(-1)^5(x)^5\implies j(x)=-\dfrac{1}{2}x^5$

Sign is negative so right side is decreasing
Degree is odd so left side is opposite of the right side (increasing)

as x → +∞, f(x) → +∞ Decreasing

as x → -∞, f(x) → -∞ Increasing

6 0

4 years ago

Mr.Yi buys vegetables at a market. He purchases 6 pounds of potatoes,p, and 3 pounds of onions, n, for $18. Onions cost twice as

tensa zangetsu [6.8K]

The 6 pounds of potatoes costs 2.16 dollars

5 0

3 years ago

a veterinarian needs to know animals weight in kilograms. if 20 pounds is about 9 kilograms and a dog weights 30 pounds, use a r

ahrayia [7]

For this case we have the following conversion:

20 pounds = 9 kilograms

To use the table what we must do is find another relationship that allows us to find the weight in kilograms for 30 pounds.

For example, half the weight in pounds is half the weight in kilograms.

Therefore, the given conversion is:

10 pounds = 4.5 kilograms

So, for 30 pounds, we multiply this last ratio obtained by three on both sides:

30 pounds = 13.5 kilograms

Then, the table is:

Pounds 10 20 30

kilograms 4.5 9 13.5

Answer:

Using the ratio table the dogs weight is:

30 pounds = 13.5 kilograms

3 0

3 years ago

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