Order: 96,88,88,86,81,80,79,79,73,72
96-72= 24
B.)24
Answer:
Coordinates of the image point → (-2, 9)
Step-by-step explanation:
If a point (x, y) is translated by 'h' units left and 'k' units up then the rule for the translation will be,
(x, y) → (x - h, y + k)
Rule for the translation of a point (2, 7) by shifting 4 units left and 2 units up will be,
(2, 7) → (2 - 4, 7 + 2)
→ (-2, 9)
Coordinates of the image point → (-2, 9)
Given:
The line contains the point (-5,-3) and has a slope of -2.
To find:
The graph of the line.
Solution:
The line contains the point (-5,-3) and has a slope of -2. So, the equation of line is
where, m is slope.
Subtracting 3 from both sides, we get
So, the equation of line is .
Putting x=0, we get
It means, the line also passes through (0,-13).
Plot the points (0,-13) and (-5,-3) on a coordinate plane and connect them by a straight line.
Therefore, the graph of given line is shown below.
Zach have to send 300 number of multimedia texts for the same cost in two packages.
<u>Step-by-step explanation:</u>
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text and has a $15 monthly fee.
<u>To frame the equations :</u>
- Let x be the any amount of multimedia texts are sent.
- Let y be the total cost for using the multimedia package.
<u>Package A Equation :</u>
Total cost = No.of text sent × cost per text.
⇒ y = x × 0.25
⇒ y = 0.25x
∴ The equation of package A is y = 0.25x
<u>Package B Equation :</u>
Total cost = (No.of text sent × cost per text) + Monthly fee
⇒ y = (x × 0.20) + 15
⇒ y = 0.2x + 15
∴ The equation of a package B is y = 0.2x + 15
Now, the question is about how many multimedia texts will Zach have to send each month for the two multimedia texting packages to be the same cost.
⇒ equation of package A = equation of package B
⇒ 0.25x = 0.2x + 15
⇒ 0.25x - 0.2x = 15
⇒ 0.05x = 15
⇒ x = 15 / 0.05
⇒ x = 300
∴ Zach have to send 300 number of multimedia texts for the same cost in two packages.
Answer:
A = (-7,6)
B = (2,4)
C = (-6,0)
Step-by-step explanation:
A = (-9 + 2, 2 + 4)
B = (0 + 4, 0 + 4)
C = (-8 + 2, -4 + 4)
