Answer:
(-2, 2)
Step-by-step explanation:
<u>Given:</u>
- Point A is at (2, -8) and point C is at (-4, 7)
<u>Difference of coordinates:</u>
- Δx = 2 - (-4) = 6
- Δy = - 8 - 7 = - 15
<u>The ratio of AB to AC is 2:1. So:</u>
- AB = 2*AC/3 and BC = AC/3
<u>Then coordinates of point B should be 2/3 from the point A:</u>
- x = 2- 6*2/3 = 2 - 4 = -2
- y = - 8 - (-15)*2/3 = -8 + 10 = 2
So point B has coordinates of (-2, 2)
Answer:
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Step-by-step explanation:
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My back put jalapeño from the asofragus or the diameter of
114
Step-by-step explanation:
√a = 1√a so we can solve them easily:
b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7
d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6
g) √2+2√2= 3√2
j) √5+5√5 - 3√5 = 3√5
k) 2√3 + √3 - 5√3= -2√3
I) 5√11 + 7√11 - √11 = 11√11
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
