Given:
And
Required:
To find the two possible values of c.
Explanation:
Consider
So
And also given
Now from (1) and (2), we get
Now put a in (1) we get
We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have
When a=5 and b=3, we have
Final Answer:
The option D is correct.
31 and 41
Answer:
15c+12y
Step-by-step explanation:
6c + 7c + 5y + 2c + 7y
13c+2c +12y
15c+12y
have a great day!
<u>Answer:</u>
Lengths of the sides (there are 3 sides in an equilateral triangle) of the base of prism is <u>5.72cm </u>each.
<u>Step-by-step explanation:</u>
As the base of triangular prism is equilateral:
∴ Area of base = (√ 3 / 4)× (side)²
According to question:
height of prism = height (side) of base
Volume of prism = 81 cm³,
∴ Volume of prism = Area of base x height
⇒ 81 cm³ = (√ 3 / 4)× (side)² × height ∵ side = height
⇒ 81 cm³ = (√ 3 / 4)× (side)³
⇒ 81 × (4/√3) cm³ = side³
⇒ ∛(81 × (4/√3) cm = side
⇒ side = <u>5.72cm</u>
Answer:y=-y
Step-by-step explanation:
Answer:
542.50
Step-by-step explanation:
Given:
Least square regression equation :
y = 102.50 + 0.65x + residual
y = predicted fare
x = distance in miles
Intercept = 102.50
Slope = 0.65
Distance in miles, x = 500 miles
y = 102.50 + 0.65(500) + 115
y = 102.50 + 325 + 115
y = 427.5 + 115
y = 542.50
