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IceJOKER [234]
3 years ago
13

Answer and explain how long is the surface of the slide

Mathematics
1 answer:
erica [24]3 years ago
6 0

Answer:

13.9 ft

Step-by-step explanation:

use Pythagoras theorem

surface²=7²+12²

surface²=193

surface=√193=13.89 ft≈13.9 ft

please mark brainliest

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Help me asap! I will give you marks
Law Incorporation [45]

Recall the binomial theorem.

(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k

1. The binomial expansion of \left(1+\frac x3\right)^7 is

\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}

Observe that

k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x

k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2

When we multiply these by 8-9x,

• 8 and \frac73 x^2 combine to make \frac{56}3 x^2

• -9x and \frac73 x combine to make -\frac{63}3 x^2 = -21x^2

and the sum of these terms is

\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}

2. The binomial expansion is

\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k

We get the a^6b^2 term when k=2 :

k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2

6 0
1 year ago
Please help me!!!! Thank you so much in advance. Most detailed answer gets brainlist!
olga55 [171]
Yep that’s a pathoggensjajsjsjejsns
6 0
4 years ago
How do I find the horizontal asymptote of h(x)=x+6/x^2-64 ?
SashulF [63]

I assume the equation described is:

( x + 6 ) / ( x^2 - 64 )

You can compare the degree of the numerator and denominator in a function that takes the form of this type of rational equation.

Here are the three rules

#1 (Correct Answer): When the degree of the numerator is smaller then the denominator the horizontal asymptote is y = 0

#2 If the degree of the numerator and denominator is the same, then you take the leading coefficient of the numerator (n) and denominator (d) to create the answer y = n / d in this equations case it would be 1 / 1 since variables technically have an invisible 1 in front of them since anything multiplied by 1 is its self, 1x = x

#3 When the degree of the numerator is greater then the degree of the denominator then this means that it does not have a horizontal asymptote.

Again the final answer is that the horizontal asymptote is y = 0

5 0
3 years ago
1 2 5as a mixed number​
In-s [12.5K]

Answer:

Step-by-step explanation:

If u are saying 12/5,  5 goes into 12 2 times which is 10. there is 2 left so it is 2 and 2/5

5 0
3 years ago
Read 2 more answers
If a polynomial function f(x) has roots 0, 4, and 3 + StartRoot 11 EndRoot, what must also be a root of f(x)? 3 + i StartRoot 11
serg [7]

Answer:

3 − √11

Step-by-step explanation:

For polynomials with rational coefficients, any radical roots must come in conjugate pairs.  To find the conjugate, simply reverse the sign of the radical.

4 0
3 years ago
Read 2 more answers
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