( x ^ 2 + 9 ) ( x + 3 ) ( x - 3)HELP ME PLEASE!
x = 9y
x + 1.5y = 12
x + y = 9
x + 9y = 12
x = 1.5y
9x + y = 12
x = 1.5y
The system of equations that represents the given statements is
x + 1.5y = 12
x + y = 9
Where x is the number of pencils and y is the number of pens that Shawn bought.
To write an equation:
Given that,
A pencil at a stationery store costs - $1
and A pen costs - $1.50
Shawn spent $12 at the store. He bought a total of 9 items.
So,
Consider number of pencil = x and number of pens = y
Since he bought a total of 9 items, we can add the number of pencils and pens and equate the sum with 9
I.e., x + y = 9 ...(i)
We have cost for a single pencil and a single pen
So, to get the cost for the total number of pencils and pens that he bought, multiply the cost of a single one by the number of pencils and pens. I.e.,
1 × x and 1.50 × y
Since it is given that he spent $12 for both pencils and pens, we can write
x + 1.5 y = 12 ...(ii)
Thus, from equations (i) and (ii), the system we can write
x + 1.5 y = 12
x + y = 9
So, option 2 is the correctset of equations for the given system.
Learn more about writing equations from words here:
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Equation given in the question represents a circle.
Therefore, there will be infinite lines of symmetry.
Given in the question,
Equation given in the question is in the form of
Since, general equation of a circle is given by,
Therefore, given equation represents a circle.
By definition, a circle has infinite lines of symmetry passing through the center.
Therefore, given equation will have infinite lines of symmetry.
Learn more about the lines of symmetry here,
Answer:
It has infinitely many line of symmetry. All diameters are line of symmetry.
Step-by-step explanation:
Given: Equation is x² + y² = 9
To find: line of symmetry of given equation
Given equation is the equation of circle.
x² + y² = 9
re write,
(x-0)² + (y-0)² = 3²
by comparing given equation with standard equation of circle ,
(x-h)² + (y-k)² = r²
we get, h = 0 , k = 0 , r = 3
⇒ Centre of circle = ( 0 , 0 ) and radius of circle = 3 unit
Since It is a circle. so it has Infinitely many line of symmetry
Also, All diameters of this circle are line of symmetry for this circle.
Some equation of line of symmetry,
x-axis : y = 0
y-axis : x = 0
Answer:
33-3 = 30
30 ÷ 5 = 6
Step-by-step explanation:
1)a1 = -4, d= -9, n=20
2)a1 =20, d=4, n=81
3)a12 for 8,3,-2,...
Answers
A)340
B)-47
C)-175
D)94
*PLEASE EXPLAIN*