Answer:
y - 7 = -4/3(x + 1)
Step-by-step explanation:
<u>Given</u>
<u>Convert to point slope form</u>
y - y1 = m(x - x1)
m: represents what the slope is
y - 7 = -4/3(x + 1)
<u>Distribute -4/3</u>
-4/3 * x = -4/3x
-4/3 * 1 = -4/3
y - 7 = -4/3x - 4/3
<u>Add seven in both sides</u>
21/3 -4/3 = 17/3
y = -4/3x + 17/2
<u>Answer</u>
linear equation: y = -4/3x + 17/2
point-slope form: y - 7 = -4/3(x + 1)
Answer:
20.6 cm (im pretty sure lol)
Step-by-step explanation:
sine rule:
(ab = x)
13.5/sin41 = x/sin90
13.5sin90/sin41 = x
x = 20.57741667
ab = 20.6cm
Step One
======
Find the length of FO (see below)
All of the triangles are equilateral triangles. Label the center as O
FO = FE = sqrt(5) + sqrt(2)
Step Two
======
Drop a perpendicular bisector from O to the midpoint of FE. Label the midpoint as J. Find OJ
Sure the Pythagorean Theorem. Remember that OJ is a perpendicular bisector.
FO^2 = FJ^2 + OJ^2
FO = sqrt(5) + sqrt(2)
FJ = 1/2 [(sqrt(5) + sqrt(2)] \
OJ = ??
[Sqrt(5) + sqrt(2)]^2 = [1/2(sqrt(5) + sqrt(2) ] ^2 + OJ^2
5 + 2 + 2*sqrt(10) = [1/4 (5 + 2 + 2*sqrt(10) + OJ^2
7 + 2sqrt(10) = 1/4 (7 + 2sqrt(10)) + OJ^2 Multiply through by 4
28 + 8* sqrt(10) = 7 + 2sqrt(10) + 4 OJ^2 Subtract 7 + 2sqrt From both sides
21 + 6 sqrt(10) = 4OJ^2 Divide both sides by 4
21/4 + 6/4* sqrt(10) = OJ^2
21/4 + 3/2 * sqrt(10) = OJ^2 Take the square root of both sides.
sqrt OJ^2 = sqrt(21/4 + 3/2 sqrt(10) )
OJ = sqrt(21/4 + 3/2 sqrt(10) )
Step three
find h
h = 2 * OJ
h = 2* sqrt(21/4 + 3/2 sqrt(10) ) <<<<<< answer.
1:
Length: 7
Width:2
Perimeter: 18
2:
Length: 5
Width: 2.8
Perimeter: 15.6
Answer:
x = 18°
y = 6
Step-by-step explanation:
in a parallelogram:
Any two opposite sides are congruent
and any two opposites angles are congruent:
then
y + 4 = 10
and 3x = 54
then
y = 6
and x = 54/3 = 18
