Answer:
The answer to your question is m = -5/3
Step-by-step explanation:
Data
Point 1 = (1, -6)
Point 2 = (-8, 9)
Process
To find the slope just substitute the values in the formula and simplify.
Formula
slope = m = (y2 - y1) / (x2 - x1)
-Identify x1, y1, x2 and y2
x1 = 1 y1 = -6 x2 = -8 y2 = 9
-Substitution
m = (9 + 6) / (-8 - 1)
-Simplification
m = 15/-9
-Result
m = -5/3
Answer:
l= 10 , w=7
Step-by-step explanation:
If the length of a rectangle is 11 m less than 3 times the width, then we can come up with this equivalency:
l = 3w - 11
where l stands for length and w stands for width. Now we plug in the equivalency into the equation for the area of a rectangle:
A = lw
A = (3w - 11)w
70 = (3w - 11)w
70 = 3w2 - 11w
Then solve for w by completing the square. Now, in order to complete the square for this, we need to find a completion that fits 3w2 - 11w + ? and completes the base factoring of (√(3)w - ? )2. The only one that fits the second question mark so that it can work out to the first is (11√3)/6, and when we work it into the first question mark, the first question mark becomes 121/12. Essentially, what we have for completing the square is:
70 + 121/12 = 3w2 - 11w + 121/12
80.08333 = (√(3)w - (11√3)/6)(√(3)w - (11√3)/6)
80.08333 = (√(3)w - (11√3)/6)2
8.94893 = √(3)w - (11√3)/6
Solving for w, we get:
12.124 = √(3)w
w = 7
Since we know that the length is 11 m less than 3 times the width, we can plug w into the first equation to find l:
l = 3w - 11
l = 3(7) - 11
l = 21 - 11
l = 10
And if we want to check, lw = (10)(7) = 70.
Answer:
26 units
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and reflection.
If a point A(x, y) is reflected across the y axis, the new point is A'(x, -y).
The reflection of the point (-2,-4) across the x axis gives (-2, 4) while the reflection of (3, -4) gives (3, 4)
The distance between (-2, -4) and (-2, 4) is the length while from (-2, -4) to (3, -4) is the breath. Hence:
Perimeter of rectangle = 2(length + breath) = 2(8 + 5) = 2(13) = 26 units
Answer:
2/3
Step-by-step explanation: parallel lines have the same slope with different y-int
Answer:
x=10
Step-by-step explanation:
1/2x+4=9
subtract 4 from both sides
1/2x=5
multiply both sides by 2 to get x by itself
x=10
