Answer:
5 units
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = B(- 3, - 2) and (x₂, y₂ ) = C(0, 2)
AB =
=
=
=
= 5
So if the line is linear we can use slope intercept form to find the equation of the points: y=mx+b
To calculate m, the slope we subtract two of the points (I’ll use the first two):
(-1, 1)
(4, 0)
This equals 0-1/4+1, which simplifies to -1/5
So the slope is -1/5 and we can put that into slope intercept form along with a point to get b, the y-intercept.
So, y=-1/5x+b
Now we substitute x and y with a point.
1=-1/5(-1)+b
1=1/5+b
b=4/5
So the equation is:
y=-1/5x+4/5
I hope this helps!
Answer:
5. m<STP = 134
6. m<PTS = 158
Step-by-step explanation:
5. Since ray TR bisects <PTS, angles PTR and STR are congruent.
m<PTR = m<STR
3x - 8 = 2x + 17
Subtract 2x from both sides.
x - 8 = 17
Add 8 to both sides.
x = 25
m<STP = 2m<PTR
m<STP = 2(3x - 8)
m<STP = 2(3 × 25 - 8)
m<STP = 2(67)
m<STP = 134
6.
2m<PTR = m<PTS
2(x - 23) = x + 56
2x - 46 = x + 56
x = 102
m<PTS = x + 56
m<PTS = 102 + 56
m<PTS = 158
<span>measures of center (where the data are located along the number line)
</span><span>measure of spread (how much variation there is about the center)
</span>
Is the 2 an Exponent or is it something else
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