The two angles with x in them are the same. Set them equal to each other and solve for x:
4x-5 = 3x + 11
Add 5 to both sides:
4x = 3x +16
Subtract 3x from both sides:
x = 16
Now solve for the angle next to y:
4x - 5 = 4(16) -5 = 64 -5 = 59
Y + 59 make a straight line and equals 180, so subtract 59 from 180 to get y:
y = 180 - 59 = 121
Answers:
X = 16, y = 121
Yes, they intersect at roughly (4.2,5.2).
The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)
<h3>What is an Expression ?</h3>
An expression is defined as a mathematical statement consisting of variables , constants and mathematical operators.
The expression given is
28w⁴x²y⁷+12w⁹x⁸
Factors of the given expression will be the common terms in both the terms
w⁴x² is common in the variable term
The HCF of 28 and 12 is 4
4w⁴x² (7y⁷ + 3w⁵x⁶)
The expression after factorisation is 4w⁴x² (7y⁷ + 3w⁵x⁶)
To know more about Expression
brainly.com/question/14083225
#SPJ1
<span>After 5 years, it's value will be about $294,300</span>
Answer:
fifth term
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 4 and a₉ = - 8 , then
a₁ + 2d = 4 → (1)
a₁ + 8d = - 8 → (2)
Subtract (1) from (2)
6d = - 12 ( divide both sides by 6 )
d = - 2
Substitute d = - 2 into (1)
a₁ + 2(- 2) = 4
a₁ - 4 = 4 ( add 4 to both sides )
a₁ = 8
Thus equating the n th term formula to zero and solving for n
8 - 2(n - 1) = 0 ( subtract 8 from both sides )
- 2(n - 1) = - 8 ( divide both sides by - 2
n - 1 = 4 ( add 1 to both sides )
n = 5
The fifth term is equal to zero
