Isolate the variable by dividing each side by factors that don’t contain the variable
Exact form:
x= - 13/3
Decimal form:
x= -1.857142
Mixed number form:
x=- 1 6/7
Answer:
B(3.5, 0.5)
Step-by-step explanation:
Given:
A(5,5), Xa=5, Ya=5
C(3,-1), Xc=3, Yc=-1
To find point B, we can use the partition rule, where AB = 3BC, so AB occupies k=3/4 of the distance AC.
B(x,y) = ((1-k)Xa+kXc, (1-k)Ya+kYc)
=(Xa/4+3Xc/4, Ya/4+3Yc/4), substitute values
=(5/4+3*3/4, 5/4+3*(-1)/4)
=(14/4,2/4)
=(3.5, 0.5)
Let j be Jacob's money. Then Angie is 3j, and Erin is 3j+35. So:
j+3j+3j+35=196
7j=161
j=23
Jacob had $23
☺☺☺☺
Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.
Answer:
Step-by-step explanation:
5. -3x^(2)+3xy-4xz
If you factor = -x(3x-3y+4z)
x^yz+xy^2z+xyz^2
xyz(x+y+z)
x^2y-xy^2+x^2y^2
xy(x-y+xy)
6. 14a^2-28a^2b^2+21a^4
-7a^2(4b^2-3a^2-2)
7. a^4b-6a^2b^2+3ab^3
ab(a^3-6ab+3b^2)