Answer:
6000 meters
Step-by-step explanation:
Each kilometer is 1000 meters so 1000 x 6 is 6000
In order to prove these triangles congruent by SAS, AB and DE must be congruent. Thus, C is your answer.
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4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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Answer:
The slope is 7/7 or 1.
Step-by-step explanation:
Find any two points on the line. I chose (0,7) and (-7,0).
Put rise over run.
7-0
———
0 – -7
this would equal 7/7 which simplifies to 1.
Hope this helped!
For all points that lie on the y-axis, the x-coordinate is zero.
