Answer:
infinite solutions along the line y = 2x+1
Step-by-step explanation:
3y – 6x = 3
y = 2x + 1
Replace y in the first equation with the second equation
3 ( 2x+1) -6x =3
6x +3 -6x = 3
3=3
This is always true so there are infinite solutions along the line y = 2x+1
Answer:
The t-critical value for 95% confidence interval is ±2.2621
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 10
Alpha, α = 0.05
We have to find the value of t-critical at 95% confidence interval.
Degree of freedom = n - 1 = 9
The t-critical value for 95% confidence interval is ±2.2621
*see attached picture for the diagram of the box
Answer:
130cm²
Step-by-step explanation
The amount of red appear needed by Marcus to cover his box = Surface Area of the cube - Area of the circle.
Surface area of cube = 6s² (where s is the side length of the cube. s² therefore is S.A of 1 face of the cube)
Given that s = 5cm,
S.A of cube = 6s² = 6*5² = 150cm²
Area of circle = πr²;
Given that π = 3.14, and r = ½ of diameter of circle (i.e. ½ of side length of cube)
Area of circle = 3.14*(½*5)² = 3.14*(2.5)² = 3.14*6.25 =19.625
Amount of red paper needed = S.A of the cube - Area of the circle = 150cm² - 19.625cm² = 130.375cm² = 130cm²
Answer:
X=3
Y=2
Step-by-step explanation:
(3+2)2=10
If you use this, please give me brainliest
Answer:
13 and 32
Step-by-step explanation:
let one number be x
Then the other number is x + 19 , then
x + x + 19 = 45
2x + 19 = 45 ( subtract 19 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13
The 2 numbers are 13 and 13 + 19 = 32