<h3>
Answer: Slope = -3/4</h3>
slope = rise/run
rise = -3 ... move down 3 units
run = 4 .... move to the right 4 units
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Work Shown:
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (-17-(-2))/(24-4)
m = (-17+2)/(24-4)
m = -15/20
m = -3/4 is the slope
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It basically means "move down 3 units, and move to the right 4 units"
So, slope = rise/run = -3/4
rise = -3 = move down 3 units
run = 4 = move to the right 4
You could express the slope as a decimal, and that would be -3/4 = -0.75, but you lose the rise and run values. So I recommend you keep the fraction.
Another problem with decimals is that sometimes we could have approximations that aren't exact. For example, if the slope was 2/3, then that approximates to 0.667 which may cause rounding errors down the line. Though I should point out that decimals do have their advantages in some cases.
Answer: 6 cm
Step-by-step explanation:
Use equation for area of triangle
A=a*h/2
a*h=2A
a=2A/h
where a represents base of triangle
h represents height of triangle.
h=12.8 cm
A=38.4 cm²
a=2A/h=2*38.4 cm²/12.8 cm=76.8cm²/12.8cm= 6 cm
X = +- sqrt 5 or 2.2361. no problem
Answer:
5x=2x−4−2
Subtract 2 from −4 to get −6.
5x=2x−6
Subtract 2x from both sides.
5x−2x=−6
Combine 5x and −2x to get 3x.
3x=−6
Divide both sides by 3.
x= -6/3
Divide −6 by 3 to get −2.
x=−2
Step-by-step explanation:
Given:
Consider the line segment YZ with endpoints Y(-3,-6) and Z(7,4).
To find:
The y-coordinate of the midpoint of line segment YZ.
Solution:
Midpoint formula:
The endpoints of the line segment YZ are Y(-3,-6) and Z(7,4). So, the midpoint of YZ is:
Therefore, the y-coordinate of the midpoint of line segment YZ is -1.
