Answer:
![\huge\boxed{\sf \pm 10i}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20%5Cpm%2010i%7D)
Step-by-step explanation:
<h3><u>Given radical:</u></h3>
![\pm \sqrt{-100}](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B-100%7D)
We can write it as:
![\pm \sqrt{-1 \times 100} \\\\\pm \sqrt{-1} \times \sqrt{100} \\\\\underline{We \ know \ that:}\ i =\sqrt{-1} \\\\\pm i \times 10\\\\\boxed{\pm 10i}\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cpm%20%5Csqrt%7B-1%20%5Ctimes%20100%7D%20%5C%5C%5C%5C%5Cpm%20%5Csqrt%7B-1%7D%20%5Ctimes%20%5Csqrt%7B100%7D%20%5C%5C%5C%5C%5Cunderline%7BWe%20%5C%20know%20%5C%20that%3A%7D%5C%20i%20%3D%5Csqrt%7B-1%7D%20%5C%5C%5C%5C%5Cpm%20i%20%5Ctimes%2010%5C%5C%5C%5C%5Cboxed%7B%5Cpm%2010i%7D%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hello :
<span>Hello : let
A(-3,-3) B(5,4)
the slope is : (YB - YA)/(XB -XA)
(4+3)/(5+3) =7/8
an equation is : y=ax+b a is a slope</span>
y = (7/8)x +b
the line through
point (5,4) : 4 = (7/8)(5)+b<span>
<span>b = - 3/8
the equation is : y =(7/8)x- 3/8</span></span>
Answer:
Step-by-step explanation:
Sum of two monomials is not necessarily always a monomial.
For example:
Suppose we have two monomials as 2x and 5x.
Adding 2x+5x , we get 7x.
So if two monomials are both like terms then their sum will be a monomial.
Suppose we have two monomials as 3y and 4x
Now these are both monomials but unlike, so we cannot add them together and sum would be 3y + 4x , which is a binomial.
So if we have like terms then the sum is monomial but if we have unlike terms sum is binomial.
Product of monomials:
suppose we have 2x and 5y,
Product : 2x*5y = 10xy ( which is a monomial)
So yes product of two monomials is always a monomial.
Answer:
(a)Tax = $78.40
(b)Delivery =$40
Step-by-step explanation:
A computer is advertised at $980 + tax + delivery.
(a) We want to determine 8% of $980
8%= ![\frac{8}{100}=0.08](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B100%7D%3D0.08)
Therefore: 8% of $980 =0.08 X 980 =$78.40
The Tax on the Computer = $78.40
(b)The total price is $1098.40
Recall:
Total Price = $980 + tax + delivery
1098.40 = 980 + 78.4 + Delivery
1098.40 = 1058.40+ Delivery
Subtract 1058.40 from both sides
1098.40- 1058.40= 1058.40-1058.40+ Delivery
Charge for Delivery =$40