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3 years ago

Can someone please answer this for me and with solution and "Checking"( to see if your answer is correct) please.

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer:

√9/√13=5

√10-3r=r

Step-by-step explanation:

this must be the answer

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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

Help me find the measures

Ronch [10]

Angle B=118 degrees
angle D=118 degrees
angles C=62 degrees
angle A=62 degrees
angle G=118 degrees
angle K=62 degrees
angle P=62 degrees
angle L=62 degrees
angle N=118 degrees
angle M=118 degrees
angle W=62 degrees
angle I=118 degrees
angle F=62 degrees
angle J=62 degrees
angle E=49 degrees
angle H=118 degrees
angle R=53 degrees
angle U=71 degrees
angle T=109 degrees
angle V=109 degrees
angle S=35.5
angle Q=35.5

7 0

4 years ago

Given the function f(x) = 4x-2/3, which of the below expressions is correct?

Musya8 [376]

Include the answer choices

5 0

3 years ago

Read 2 more answers

Help as soon as possible pleaseee

KiRa [710]

Answer:

(3x + 2)(x-4)

Step-by-step explanation:

3x² - 10x - 8 = 0

(splitting the middle term)

3x² -12x + 2x -8 = 0

3x(x-4) + 2(x-4) = 0

(3x + 2)(x-4) = 0

(3x + 2)(x-4) is the correct answer (option a)

3 0

3 years ago

Read 2 more answers

This is timed and I just need to see if i’m right! please check my work :)

Misha Larkins [42]

Hi! actually, the y intercept is 0, 8. hopefully this helps

4 0

3 years ago

Can someone please answer this for me and with solution and "Checking"( to see if your answer is correct) please.​

Can someone please answer this for me and with solution and "Checking"( to see if your answer is correct) please.