Answer:By definition, perpendicular line are two lines that intersect at right angles. In other words, the angle made by two lines should be 90°. Therefore, the use of distance formula does not help because it only tells you if the sides are equal. It does not tell you about the intercepted angle.
A technique that can help you to know if two straight lines are perpendicular is is you find their slopes. Let's say the slope of line 1 is m1 and the slope of line 2 is m2. If m1*m2 yields a product of -1, then the lines are perpendicular. This is because if m1 is the negative reciprocal of m2, the lines are perpendicular. But if m1=m2, the lines are parallel, meaning they don't intersect at all.
Therefore, the answer is: Find the slopes and show that their product is -1.
hope it help
Answer:
A. y + 1 = -1/4(x + 5)
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
1
4
y-intercept:
(
0
,
−
9
/4
)
x
y
−
9
0
0
−
9
4
Graph the line using the slope and y-intercept, or two points.
Slope:
−
4
y-intercept:
(
0
,
−
19
)
x
y
0
−
19
1
−
23
Graph the line using the slope and y-intercept, or two points.
Slope:
−
1
4
y-intercept:
(
0
,
9
/4
)
x
y
0
9
4
9
0
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept:
(
0
,
6
)
x
y
0
6
1
7
After u plug in t for everything the answer will be 260.2087
Answer:
Step-by-step explanation:
Consider the figure as the difference of a trapezoid and a rectangle.
<u>Area of the trapezoid:</u>
- a = 3 - (-2) = 5 units
- b = 9 - (-6) = 15 units
- h = 5 - (-5) = 10 units
- A = (a + b)h/2 = (5 + 15)(10)/2 = 100 square units
<u>Area of the rectangle:</u>
- l = 5 - (-2) = 7 units
- w = -1 - (-5) = 4 units
- A = lw = 4*7 = 28 square units
<u>Area of the figure:</u>
- 100 - 28 = 72 square units
Answer:
multiplication property of equality
Step-by-step explanation:
Since we are multiplying by the same amount on each side, we are using the multiplication property of equality