The given expression is:
There are 3 terms in this expressions:
1)
2)
3) 2
The coefficient of
is 3.
The coefficient of
is -7.
The constant term is 2.
Answer:Scott is over 3 times older that Kate
Step-by-step explanation:
Kate is 3 years old. Her brother, Scott is 10 years old.
A) The ratio of Scott's age to Kate's age would be Scott's age divided by Kate's age. It becomes
10/3
B) To determine how many times older than Kate is Scott, we would express the ratio of their ages in decimal. Therefore
10/3 = 3.33
Therefore, Scott is over 3 times older that Kate
Answer:
27 quarters and 37 nickels
Step-by-step explanation:
Nickels are 5¢
Quarters are 25¢
$8.60 is 172 nickels (860/5)
$8.60 is 34.4 quarters (860/25)
So then let's split it half-and-half.
425 and 435
425 would become 17 quarters.
435 would become 87 nickels.
This is still too much.
Now let's try 700 and 160.
700 would become 28 quarters
160 would become 32 nickels.
28+32=60.
This is a lot closer.
So now 27 quarters and 37 nickels. This works.
Answer:
Step-by-step explanation:
Since each side of a line is 180 degrees, we can write the following system of equations:
Add both equations to solve for 
:
Now substitute 
into 
to solve for 
:
Finish by substituting both variables to solve for 
:
Some basic formulas involving triangles
\ a^2 = b^2 + c^2 - 2bc \textrm{ cos } \alphaa 2 =b 2+2 + c 2
−2bc cos α
\ b^2 = a^2 + c^2 - 2ac \textrm{ cos } \betab 2=
m_b^2 = \frac{1}{4}( 2a^2 + 2c^2 - b^2 )m b2 = 41(2a 2 + 2c 2-b 2)
b
Bisector formulas
\ \frac{a}{b} = \frac{m}{n} ba =nm
\ l^2 = ab - mnl 2=ab-mm
A = \frac{1}{2}a\cdot b = \frac{1}{2}c\cdot hA=
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
\iits whatever A = prA=pr with r we denote the radius of the triangle inscribed circle
\ A = \frac{abc}{4R}A=
4R
abc
- R is the radius of the prescribed circle
\ A = \sqrt{p(p - a)(p - b)(p - c)}A=
p(p−a)(p−b)(p−c)
