Answer:
Step-by-step explanation:
<u>Given</u>
<u>Find</u> a₁
Use the nth term equation of AP
Apply to the given case and solve for a₁
- - 2 = a₁ + 6(- 1)
- - 2 = a₁ - 6
- a₁ = 6 - 2
- a₁ = 4
Answer:
Shifted to the right by 9 units, and down by 7 units
Step-by-step explanation:
y=x is the origin.
(x-9) shows that the graph has moved 9 units to the right, as what is inside the parentheses indicates the opposite direction
(you can be able to review why this is from online resources or you can ask your teacher)
the -7 shows that the graph moves 7 units down the graph, it's outside the parentheses, so it follows the same direction
let's sum up:
for this situation,
- what is inside the parentheses is the x
- what is outside the parentheses is the y
- the x-values direction shifts opposite from the sign (+/-)
- the y-values direction shifts like the sign (+/-)
So,
the vertex has been shifted to the right by 9 units, and down by 7 units compared to y=x.
Answer:
cos Ф = adj / hyp = √5 / 3
Step-by-step explanation:
If sin Ф is +, then Ф must be in either Quadrant 1 or Quadrant 2.
If tan Ф < 0, then Ф must be in either Quadrant 2 or Quadrant 3.
So we conclude that Ф is in Quadrant 2.
If sin Ф = opp / hyp = 2/3, then opp = 2 and hyp = 3, and adj is found using the Pythagorean Theorem:
adj = √( 3² - 2² ) = √( 5 )
With adj = √5 and hyp = 3, cos Ф = adj / hyp = √5 / 3
Answer:
1. Multiply the value of the first variable by one of the original equations to solve for the second variable.
2. Solve for one of the variables.
3. Substitute the value of the known variable into one of the original equations to solve for the unknown variable.
Step-by-step explanation:
Answer:
https://www.khanacademy.org/math/algebra/introduction-to-algebra/alg1-writing-expressions/v/writing-expressions-1
Step-by-step explanation:
