Multiply the left and right side by 7 to get rid of the denominator, leaving you with 6x=-84. Then divide, x=-84/6, x=-14!
Answer:
1. It is a conditional statement that can be written as “If a quadrilateral has exactly one pair of parallel opposite sides, then it is a trapezoid.”
2. The hypothesis is: a quadrilateral having exactly one pair of parallel opposite sides.
5. The conclusion is: it is a trapezoid.
Step-by-step explanation:
→The answer would be the first because it can be written as a statement like this. The statement is also proven to be true.
→The answer would be the second because it is a hypothesis statement. It is using the information of a "quadrilateral," and "one pair of parallel opposite sides," to form an answer/conclusion.
→The answer would be the last/fifth because the conclusion of the statement is that the unknown shape is actually a trapezoid, based on the information that has been provided to us.
i need the graph to answer the graph
Answer:
A. y = 2x -9
B. y = -1/2x +1
Step-by-step explanation:
The given line is in slope-intercept form
y = mx + b
where m is the slope. For your given line, the slope is 2.
A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:
y = m(x -h) +k . . . . . for slope m through point (h, k)
You want the equation of the line through (4, -1) with slope 2, so its equation is ...
y = 2(x -4) -1
Simplifying to slope-intercept form, this becomes ...
y = 2x -8 -1
y = 2x -9
___
B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...
m = -1/2
As above, the point-slope form of the perpendicular line is ...
y = -1/2(x -4) -1
y = -1/2x +1 . . . . . after simplification