We want to multiply the monomial 
by the monomial 
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents: 
, 
. Also, is worth pointing out that the exponent of a variable with no exponent is 1: 
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so 
. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:
We can conclude that 2x times x squared is 2x cubed.
▪ Answer:
n = 17
d = 8
▪ Step-by-step explanation:
Hi there !
1 nickel = 5c
1 dime = 10c
$1.65 = 165c
n + d = 25 => n = 25 - d
5n + 10d = 165
replace n
5(25 - d) + 10d = 165
125 - 5d + 10d = 165
5d = 165 - 125
5d = 40
d = 8 (dimes)
n = 25 - d
n = 25 - 8
n = 17 (nickels)
Good luck !
Set up the equation by writing the number of students in the ratio as a fraction:
3/4= (245-x)/x Cross multiply:
3x= 4(245-x) Multiply on right:
3x= 980-4x Add 4x on both sides:
7x= 980 Divide both sides by 7:
x= 140 this is how many girls there are. And:
245-140= 105= boys
Answer:
Step-by-step explanation:
35-27=8
X2+5x+y2-y=-2
X2+2*5x2+(5/2)^2-(5/2)^2+y2-2*y/2+(1/2)^2-(1/2)^2=-2
(x+5/2)^2+(y-1/2)^2-13/2=-2
(x+5/2)^2+(y-1/2)^2=9/2
So centre =(-5/2,1/2)
Radius=(9/2)^(1/2)
