Answer:

Step-by-step explanation:
We have the product,
.
It is known that,
'When we multiply a scalar with a matrix, the scalar is multiplied by each element of the matrix'.
So, we get,
.
⇒ 
⇒ 
So, the resulting product is
.
Y = -4x + 7
This is the equation of the line. The slope is -4. The Y- intercept is 7
Answer:
4 / 5 = 8 / 10
Step-by-step explanation:
4:5 is a ratio which can be rewritten as 4/5.
Any number that is multiplied by both the 4 and the 5 is an equivalent ratio to 4:5.
For example, if we multiply 2 by both sides, we have 8 to 10 which is equal to 4 to 5.
Answer and explanation:
Given : Expression
as ![\sqrt[4]{16}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B16%7D)
To find : Use properties of exponents to explain why it makes sense to define expression ?
Solution :
Using property of exponent,
![x^{\frac{1}{n}}=\sqrt[n]{x}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%7D)
On comparing with given expression,
Here x=16 and n=4
![(16)^{\frac{1}{4}}=\sqrt[4]{16}](https://tex.z-dn.net/?f=%2816%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B16%7D)
Hence by property it defied the expression.