The answer is :
c. (x+1)²=20
To check:
(x+1)²=20 (a+b)²=a²+2ab+b²
x²+2x+1=20
x²+2x=20-1
x²+2x=19
Answer:
Last equation given in the list of possible answers:
5 ( 1.5 + 1.5 + x ) = 25
Step-by-step explanation:
We need to include in the total addition of miles ridden during the week:
a) 1.5 miles to the school
b) 1.5 miles from school back home
c) x miles for the evening ride
so for the miles ridden per day we have: "1.5 +1.5 + x"
Now, since per week she does 5 days like this, then we need to multiply the expression above by 5 in order to total the number of miles she rides weekly (25 miles)
5 ( 1.5 + 1.5 + x ) = 25
And we can use this equation to find the amount "x" that Rin rides in the evening.
Answer: (12,0)
Steps:
First, put the equation in slope-intercept form.
y=mx+b
1.5x + 4.5y =18
Subtract 1.5x from both sides.
4.5y =-1.5x +18
Divide both sides by 4.5 to isolate y.
y = -1/3x + 4
Then replace y with 0 because the point for the x-intercept is exactly on the x-axis so the y=0.
0 = -1/3x + 4
Subtract 4 from both sides
-4 = -1/3x
Divide both sides by -1/3 to isolate the x
12=x
Given:
The number is 
.
To find:
The a+bi form of given number.
Solution:
We have,
It can be written as
![[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7Bab%7D%3D%5Csqrt%7Ba%7D%5Csqrt%7Bb%7D%5D)
![[\because \sqrt{-1}=i]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Csqrt%7B-1%7D%3Di%5D)
Here, real part is missing. So, it can be taken as 0.
So, a = 0 and 
.
Therefore, the a+bi form of given number is 
.
