The correct answer is A) (1,-5)
Further explanation:
Given points are:
A(-8,7)=(x1,y1)
C(7,13)=(x2,y2)
IT is also given that
AB:BC=3:2
Which means that B divides the line segment in 3:2
Here,
m=3
n=2
To find the coordinates of B
The coordinates of point B are (1,-5)
The correct answer is A) (1,-5)
Keywords: Coordinate geometry, mid-point
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Answer: -1410
Step-by-step explanation:
Let's start by subbing in -4 for x
Now we can solve
After 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
Aaron’s mother purchases a new computer for $1750. If she claims a linear depreciation (loss of value) on the computer at a rate of $250 per year.
The above problem can be solved using concept of arithmetic sequence
The starting value = $1750
After one year = 1750 - 250 = $1500
After second year = 1500 - 250 = $1250
Common difference = 1500 - 1750 = -250
a(n) = 1750 + (n - 1)(-250)
a(n) = 0 (final value is zero given)
0 = 1750 + (n - 1)(-250)
n - 1 = 7
n = 8 years
Thus, after 8 years the value of the computer to be $0 if the Aaron’s mother purchases a new computer for $1750.
Learn more about the sequence here:
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Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Step-by-step explanation:
20miles per hour HAVE A GOOD DAY
