Answer:
Step-by-step explanation:
Two- Fourths is 0.5
Three- Fifths is 0.6
Seven- Tenths is 0.7
Hope this helped
Answer:
3.28 cm
Step-by-step explanation:
The computation is shown below:
The Radius of a circle be R
And, An arc be A
So, the length of the arc would be
L = (A ÷ 360°) × 2 × 3.14 × R
Here R = 6 cm
Angle = 5 minutes and 15 seconds
As we know that the clock has the complete revolution in 60 minutes
So
60 minutes = 360°
As we know that
60 seconds = 1 min
So,
1 = 1min ÷ 60seconds
15 seconds = 15 seconds × ((1 ÷ 60)
= (15 ÷ 60) min
= 0.25 min
So,
5 minutes and 15 seconds
= 5 min + 0.25 min
= 5.25 min
60 minutes = 360°
So,
1 = 360° ÷ 60min
For 5.25min
= (5.25min) × (360° ÷ 60min)
= 31.5°
Then we have A = 31.5°
Now the far would be
L = (31.5° ÷ 360°) × 2 × 3.14 × 6cm
= 3.28 cm
The answer would be the top right graph where none of the lines intersect since it shows that there is no possible real solutions for the system if none of the lines intersect on a certain point.
Remember: If the lines intersect, there is a solution; if the lines do not intersect, there is no solution; if the lines fall on the same line, or the equations are equivalent, then the solution is all real numbers.
Answer:
(2x + 5)(2x + 1).
(6x - 5)(2x + 1).
Step-by-step explanation:
4x^2 + 12x + 5.
Use the 'ac' method:
a * c = 4 * 5 = 20 so we need 2 numbers whose product is 20 and whose sum is +12.:- 2 and 10 look good, so we write:
4x^2 + 2x + 10x + 5
Now we factor by grouping:-
= 2x(2x + 1) + 5(2x + 1)
= (2x + 5)(2x + 1) (answer).
12x^2 - 4x - 5
ac = 12*-5 = - 60 and we need 2 numbers sum to -4 . these numbers could be -10 and + 6:
12x^2 + 6x - 10x - 5
= 6x(2x + 1) - 5(2x + 1)
= (6x - 5)(2x + 1) (answer).