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ahrayia [7]
2 years ago
11

Students were asked to write a formula for the length of a rectangle by using the formula for its perimeter,p=2L+2w

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

Answer:

L = (P - 2W) / 2

Step-by-step explanation:

Given:

P = 2L + 2W

Where,

P = perimeter of a rectangle

L = length of the rectangle

W = width of the rectangle

Make L the subject of the formula

P = 2L + 2W

Subtract 2W from both sides

P - 2W = 2L + 2W - 2W

P - 2W = 2L

Divide both sides by 2

(P - 2W) / 2 = 2L / 2

L = (P - 2W) / 2

The answer is L = (P - 2W) / 2

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Find the equation of the tangent at ( 0 , 2) to the circle with equation
erica [24]

Answer:

if this is high school i cant do it

5 0
2 years ago
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
Need help with this question):​
Citrus2011 [14]
I’m not sure maybe someone else will help
3 0
3 years ago
Find an explicit formula for the arithmetic sequence 12, 5, -2, -9,...
Vadim26 [7]

Answer:

an = 12 -7(n-1)

an = 19-7n

Step-by-step explanation:

The explicit formula for an arithmetic sequence is

an = a1 +d(n-1) where a1 is the first term and d is the common difference

a1 =12

We find d by taking the second term and subtracting the first term

d = 5-12

d = -7

an = 12 -7(n-1)

We can simplify this

an = 12 -7n+7

an = 19-7n

4 0
3 years ago
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
Luba_88 [7]

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

6 0
3 years ago
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