Ask question

Ask question

All categories

3 years ago

15

25 if answered please help

1 answer:

Elan Coil [88]3 years ago

8 0

A line = 180 degrees
so z = 180 - 124

z = 56

You might be interested in

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

Two mechanics work on a car . The first mechanic worked 10 hours and the second mechanic worked for 15 hours. Together they char

GarryVolchara [31]

Its because of the hours they spent

8 0

2 years ago

I neeeeedddddd helppppppp

Eddi Din [679]

The answer is 48 degrees because you add 42 and 90 and then subtract from 180 (total degrees of a triangle)

8 0

2 years ago

4 questions. Please help.

Vladimir [108]

Dont u think their should be more points for 4 hard questions

4 0

2 years ago

7-8x+4y+18-3x-y simplify

Katyanochek1 [597]

Answer:

-11x +3y + 25

Step-by-step explanation:

7-8x+4y+18-3x-y

= -8x-3x +4y-y +18+7 (putting like terms together)

= -11x +3y + 25 (Adding like terms)

7 0

2 years ago