Answer:
see below
Step-by-step explanation:
a)5a−6b+7c from 13a−4b+8c
13a−4b+8c -(5a−6b+7c)
Distribute the minus sign
13a−4b+8c -5a+6b-7c
Combine like terms
8a +2b +c
b)2x²−3xy+4y² from 3x²−5xy−6y²
3x²−5xy−6y² - (2x²−3xy+4y²)
Distribute the minus sign
3x²−5xy−6y² - 2x²+3xy-4y²
Combine like terms
x²−2xy−10y²
c)x²+4xy−3y² from 2x²−5xy+y²
2x²−5xy+y² - (x²+4xy−3y²)
Distribute the minus sign
2x²−5xy+y² - x²-4xy+3y²
Combine like terms
x²−9xy+4y²
d)4x³−6x²+8x−9 from 7x³−16x+18
7x³−16x+18 - (4x³−6x²+8x−9)
Distribute the minus sign
7x³−16x+18 - 4x³+6x²-8x+9
Combine like terms
3x³+6x²−24x+27
The standard equation of a circle is:
(x-h)^2+(y-k)^2=r^2, where (h,k) is the center of the circle and r is the radius.
We are given two endpoints of the diameter, so the midpoint of these points is the center of the circle. (2,8) and (2, -4) so the midpoint of the circle is:
((2+2)/2, (8-4)/2)
(2,2)
The radius is just half the length of the diameter. The length of the diameter is 8--4=12 so the radius is 6 units, so our circle equation is:
(x-2)^2+(y-2)^2=36
Answer: D
Step-by-step explanation:
Answer:
The first step in evaluating {[(−)]}÷ is operating the brackets
Step-by-step explanation:
To find the first step in evaluating {[(−)]}÷ :
In general we may use BODMAS operation to evaluate the expression and is stands for
BODMAS- B for Brackets in the expression
O for operations in brackets for the expression
D for doing division operation in the expression
M for doing multiplication operation in the expression
A for doing addition operation in the expression
S for doing subtraction operation in the expression
Applying all the operations and finally weget the evaluated expression or values.
Therefore the first step in evaluating {[(−)]}÷ is operating the brackets
2560000 sequences of answers are possible.
<em><u>Explanation</u></em>
Total number of questions = 10
First 4 questions have 5 choices each and remaining (10-4)= 6 questions have 4 choices each.
So, the possible sequences of answers for first 4 questions
and the possible sequences of answers for remaining 6 questions
Thus, the total possible number of sequences of answers = (625 × 4096) = 2560000