Answer:
Step-by-step explanation:
So you know the coords for the angle which is (1, 4).
Another coord might be (2, 5) or (0,3)
So we can find the slope
rise/run=1/1
so m=1
Sub in coords like (1,4) to find y-int
y=mx+b
4=1(1)+b
b=3
Thus y=x+3
Answer:
94 square ft
Explanation:
as given in the question, the formula for surface area is 2lw + 2lh + 2wh, which means (2 × length × width) + (2 × length × height) + (2 × width × height). since these values are given, we just have to place them into the equation as such:
(2 × 5 × 4) + (2 × 5 × 3) + (2 × 4 × 3)
= 40 + 30 + 24
= <u>94</u>
so, the surface area is 94 square ft.
Answer:
Option D
Step-by-step explanation:
The objective of the survey is to assess the satisfaction level of the customers.
Out of the options given, option D is the closest to be used as a basis for gauging the satisfaction level of customers. Option A is irrelevant to the subject under discussion, as it is bears no semblance to the topic.
Option B also has this same tendency, and tend to view the satisfaction from the customers annual income, and not from the firm or its products. Using this definitely could give a measurement error.
Option C talks on inability of the user/customer of the media player to set the time. This failure is borne by the user, and not an inherent fault in the media player. As such, using this as a basis could lead to a measurement error.
Option D is the most suited for the survey.
Step-by-step explanation:
#1.
(a + 2b)²
<em>Using identity (x + y)² = x² + 2xy + y², we get:</em>
= (a)² + (2b)² + 2 × (a) × (2b)
= a² + 4b² + 4ab
= a² + 4ab + 4b² Ans.
#2.
(5x - 3y)²
<em>Using identity (a - b)² = a² - 2ab + b², we get:</em>
= (5x)² + (3y)² - 2 × (5x) × (3y)
= 25x² + 9y² - 30xy
= 25x² - 30xy + 9y² Ans.
#3.
(3a + 4)(3a - 4)(9a² + 16)
<em>Using identity (x + y)(x - y) = x² - y², we get:</em>
= [(3a)² - (4)²][9a² + 16]
= (9a² - 16)(9a² + 16)
= (9a²)² - (16)²
= 81a⁴ - 256 Ans.
Answer:
x = 8, y = 3
Step-by-step explanation:
Equating corresponding x and y coordinates , then
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 → (1)
2x - 5y = 1 → (2)
Substitute y = x - 5 into (2)
2x - 5(x - 5) = 1 ← distribute and simplify left side
2x - 5x + 25 = 1
- 3x + 25 = 1 ( subtract 25 from both sides )
- 3x = - 24 ( divide both sides by - 3 )
x = 8
Substitute x = 8 into (1) for corresponding value of y
y = 8 - 5 = 3
