Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
Convert the equation of a line 3x + 4x = 2y - 9 to the slope-intercept form:
<em>add 9 to both sides</em>
<em>divide both sides by 2</em>
Parallel lines have the same slope. Therefore we have the equation:
Put the coordinates of the point (4, -4) to the equation:
<em>subtract 14 from both sides</em>
Finally we have the equation:
1. x(2x^2-x+4)
2.-3(y-1)(y+2)
3.-(11w^2+18w-1)
A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]
B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)
<h3>A. How to determine the mid point</h3>
- Coordinate of C = (4, 5)
- Coordinate of D = (p, q)
- Mid point =?
Mid point = (X , Y)
X = (x₁ + x₂) / 2
X = (4 + p) / 2
Y = (y₁ + y₂) / 2
Y = (5 + q) / 2
Thus,
Mid point = (X , Y)
Mid point = [(4 + p) / 2 , (5 + q) / 2]
<h3>B. How to determine the coordinates of D</h3>
- Mid point = (7, 1)
- Coordinates of D =?
Mid point = (7, 1) = (X , Y)
X = (4 + p) / 2
7 = (4 + p) / 2
Cross multiply
7 × 2 = 4 + p
14 = 4 + p
Collect like terms
p = 14 - 4
p = 10
Y = (5 + q) / 2
1 = (5 + q) / 2
Cross multiply
1 × 2 = 5 + q
2 = 5 + q
Collect like terms
q = 2 - 5
q = -3
Coordinates of D = (p, q)
Coordinates of D = (10 , -3)
Learn more about coordinate geometry:
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Answer:
F
Step-by-step explanation:
F
zero
Anytime you have zero as a possible answer, you have to consider it carefully. Part of the whole number system is 0. They go up from there. No fraction is a whole number. No decimal is a whole number except those that are equal to a whole number.
The rest are all decimals so they are not whole numbers. Note I just noticed that the other numbers have periods after the choice. There are other whole numbers there if that is the case.
C D E and F are all whole numbers if that is a period after their choice letters.
Answer:
ASA
Step-by-step explanation: I'm not sure I had just found a key.
