H(-2) = 2(-2)^2 - 3(-2)
= 2(4) - (-6)
= 8 + 6
= 14
Triangle=1
Diamond=3
Hex=7
Proofs:
1+3+3=7
1+1+1=3
1+3+7=11
7-3=4*1
<h3>
Answer: Choice D. 2, 6, 12, 20</h3>
=============================================
Work Shown:
Plug in n = 1
c(n) = n(n+1)
c(1) = 1(1+1)
c(1) = 1(2)
c(1) = 2
The first term is 2
-------------
Plug in n = 2
c(n) = n(n+1)
c(2) = 2(2+1)
c(2) = 2(3)
c(2) = 6
The second term is 6
-------------
Plug in n = 3
c(n) = n(n+1)
c(3) = 3(3+1)
c(3) = 3(4)
c(3) = 12
The third term is 12
-------------
Plug in n = 4
c(n) = n(n+1)
c(4) = 4(4+1)
c(4) = 4(5)
c(4) = 20
The fourth term is 20
-------------
The first four terms are: 2, 6, 12, 20
Answer:
<em>x = 17°, m∠ A = 114°</em>
Step-by-step explanation:
We can tell that these pair of angles are corresponding, provided;
Line 1 ║ Line 2, AB ∩ Line 1 and Line 2 ⇒ corresponding ∠s ≅,
m∠ A = m∠ B ⇒ Substitute values of A and B,
6x + 12 = 3x + 63 ⇒ Subtract 3x on either side,
3x + 12 = 63 ⇒ Subtract 12 on either side of equation,
3x = 51 ⇒ Divide either side by 3,
<em>x = 17 </em>⇒ Substitute value of x to solve for m∠ A,
m∠ A = 6 * ( 17 ) + 12,
m∠ A = 102 + 12,
<em>m∠ A = 114</em>
<em>Solution; x = 17°, m∠ A = 114°</em>
Answer:
8x-5y=-20
Step-by-step explanation:
First you have to collect it like terms (5y-8x=20
Then reorder the terms (-8x+5y=20)
Next is to change the signs (8x-5y=-20)
Then you have your answer
