Answer:
the points are = (0.1045, 0.9945, 6) and ( -0.1045, 0.9945, -6)
Step-by-step explanation:
The detailed steps and appropriate substitution is as shown in the attached file.
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
To find corresponding angles and sides, you look at the name of the figure and see which one correlates.
QUESTION 6
ABC and DEF
Corresponding Angles-
A,D
B,E
C,F
Corresponding Sides-
AB, DE
BC, EF
AC, DF
QUESTION 7
FGHI and KLMN
Corresponding angles-
F,K
G,L
H,M
I,N
Corresponding Sides-
FG,KL
GH,LM
HI,MN
FI,KN
8-
x=12
9-
y= 25.6
10-
z= 23 1/3
11-
36=k
Volume of a cone = PI x r^2 x h/3
Volume = PI x 5^2 x 9/3
Volume = 235.62 cubic cm.
Volume of a block of wax = L x W x H
Volume = 2 x 4 x 3 = 24 cubic cm.
Total number of blocks = Volume of cone / volume of blocks:
235.62 / 24 = 9.82
Round up to 10.
They will need 10 blocks.