Answer:
The number will be 
Step-by-step explanation:
Let us assume the number as 
.
Given:
⇒ 
less than twice a number that will be 
, which is equal to half the difference of three times the number and 13
We have to find the number.
Solution:
The difference of three times the number and 13 could be represented as : 
The value be equal to 
of this ⇒ 
As we can see here,
- That we got a equation ⇒
Now, we can solve the above equation:
We have multiply both sides by 
⇒ 
then, ⇒ 
⇒ 
Hence we can say that number which was assumed as will be
1. Translation of a units to the right and b units up has rule:
(x,y)→(x+a,y+b).
Then the function is
2. Reflection across the y-axis acts in following way:
(x,y)→(-x,y).
Then the function is
3. Reflection across the x-axis acts in following way:
(x,y)→(x,-y).
Then the function is
4. Rotation of 90 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-y,x).
Then the function is
5. Rotation of 180 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(-x,-y).
Then the function is
6. Rotation of 270 degrees counterclockwise about the origin, point O acts bu the rule:
(x,y)→(y,-x).
Then the function is
Answer:
x+y =13
10x + 9y =122
Step-by-step explanation:
Hi, to answer this question we have to write a system of equations:
The sum of the hours he worked washing cars (x) and the hours he worked walking dogs(y) will be equal to the total hours worked (13)
For the second equation the product of the number of hours he worked washing cars(x) and the price per hour ($10) plus the product of the number of hours he worked walking dogs (y) and the price per hour ($9) will be equal to the total amount earned (122)-
So, the system of equations is:
Where:
x: number of hours Jose worked washing cars
y: number of hours Jose worked walking dogs
9514 1404 393
Answer:
(a) The figure is a quadrilateral.
Step-by-step explanation:
The four segments are not listed in order around the figure, but they do form a closed loop. The figure is a quadrilateral.
Answer:
3
Step-by-step explanation:
A direct variation is of the form
y = kx
We know x and y so we can find k
81 = k *27
Divide each side by 27
81/27 = 27k/27
3=k
The constant of variation is 3
