1. It is the product of a square, meaning it can be simplified to (x+10)(x+10) or (x+10)^2
Answer:
Step-by-step explanation:
How to write numbers in standard form:
Write the first number 8.
Add a decimal point after it: 8.
Now count the number of digits after 8. There are 13 digits.
So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³
Answer:
47
Step-by-step explanation:
this is due to when 286 is divided by 61 it gets 40 and the remainder gets you 7 as a result it is 47
Answer: Each shirt costs $1.25, and each hat costs $2.5.
Step-by-step explanation:
Let x= Cost per T-shirt, y = Cost per Hat.
As per given,
3x+3y=11.25 (i)
4x+2y=10 (ii)
Multiply 4 to equation (i)
12x+12y=45 (iii)
12x+6y= 30 (iv)
Eliminate (iv) from (iii), we get
6y= 15
⇒ y = 2.5
Put value of y in (i)
3x+3(2.5)=11.25
⇒3x+7.5=11.25
⇒3x= 3.75
⇒x= 1.25
Hence, each shirt costs $1.25, and each hat costs $2.5.
Answer:
The other point on the diameter which is also on the circle is; (-3, 2)
Step-by-step explanation:
The center of the circle, also a point where the diameter crosses, is (3, 6)
The diameter touches the circle at point (9, 10)
The displacement is (9 - 3, 10 - 6) = (6, 4)
This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)
If we want to reach the other point on the diameter which also on the circle, we move -6 units along the x-axis and -4 units along the y-axis to get;
(3, 6) - (6, 4) = (-3, 2)
