(1,-1) and (3,5)
Find slope first
y=mx+b
slope is also m
b is y-intercept
slope = y2-y1/x2-x1
x1=1
x2=3
y1=-1
y2=5
5-(-1)/(3)-(1)
6/2=3
y=3x+b
use (1,-1) into y=3x+b ( using substitution method)
-1=3(1)+b
-1=3+b
Move 3 to the other side
Sign changes from +3 to -3
-1-3+3-3+b
b=-4
Answer: C.) Y = 3x-4
x = one angle
y = other angle
y = 15+x
complements add to 90 degrees
x+y = 90
substitute for y (15+x)
x + 15+x = 90
combine like terms
2x+ 15 = 90
subtract 15 from each side
2x = 75
divide each side by 2
x = 75/2
x = 37.5
y = x+15
y = 37.5 + 15
y =52.5
The two angles are 37.5 and 52.5
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere
To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
To the nearest 1,000: 4,939,000
to the nearest 10,000: 4,940,000
Answer:
x=108
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠RQS≅m∠QLK -----> by corresponding angles
m∠KLM+m∠QLK=180° -----> by supplementary angles (consecutive interior angles)
we have that
m∠RQS=x° ----> given problem
so
m∠QLX=x°
m∠KLM=(x-36)° ----> given problem
substitute
