Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P =
.
But,
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. ![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
So, the ratio is k : 1 i.e
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also,
= m where ![k = \frac{3}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
i.e. m = ![\frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B9%20%5Ctimes%203%7D%7B2%7D-1%7D%7B%5Cfrac%7B3%7D%7B2%7D-1%7D)
i.e. m = ![\frac{27-2}{3+2}](https://tex.z-dn.net/?f=%5Cfrac%7B27-2%7D%7B3%2B2%7D)
i.e. m = ![\frac{25}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B5%7D)
i.e. m = 5.
Hence, the value of m is 5.
Answer:
The answer is option b, its absolute value in simplified form gives
![6\sqrt{2x^3} j](https://tex.z-dn.net/?f=6%5Csqrt%7B2x%5E3%7D%20j)
Step-by-step explanation:
Which of the following radical expressions has an absolute value symbol in its simplified form?
Answer option
6√64x^6
3VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF-8x^3
5√32x^5
4VWjZbdGugPfWdqwB2+ZNNUbUB29afvQFuZASCHvF16x
6√64x^6
to solve this
48x^3
b. 3√-8x^3
3*2√-2x^3
6√2x^3*√-1
6√2x^3j
which is a complex notation
5√32x^5
5*4√2x^5
20√2x^5
4√16x
4*4√x
16√x
Try this solution:
1. m∠A=m∠L; m∠B=m∠M and m∠C=m∠N;
2. m∠B=m∠M=35° and m∠C=m∠N=95°;
3. m∠A=m∠L=180°-(m∠B+m∠C)=180-35-95=50°
answer: 50°
Step-by-step explanation:
![{4}^{ - 5} = \frac{1}{ {4}^{ 5} } \\ \\ = \frac{1}{1024} = 1024 {}^{ - 1}](https://tex.z-dn.net/?f=%20%7B4%7D%5E%7B%20-%205%7D%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7B4%7D%5E%7B%205%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B1024%7D%20%20%3D%201024%20%7B%7D%5E%7B%20-%201%7D%20)