Step-by-step explanation:
10x² + 11x − 6 = 0
10x² + 15x – 4x – 6 = 0
5x(2x + 3) – 2(2x + 3) = 0
(2x + 3) (5x – 2)
Answer:
X = 24
Step-by-step explanation:
Add 9 To Both Sides
X - 9 + 9 = 15 + 9
Simplify
X = 24
Best Of Luck,
- I.A. -
Break it down into 2-Dimensional shapes. Then add the areas together.
From the picture you can see;
front & back rectangles are 2*(4 x 8) = 64 m²
2 side rectangles are 2*(4 x 12) = 56 m²
2 triangular front & back pieces are (1/2)*8*3 = 12 m²
2 roof rectangles are 2*(5 x 12) = 120 m²
total Surface area = 64 m² + 56 m² + 12 m² + 120 m²
= 252 m²
For the volume; break it up into 3-dimenssional shapes and add the volumes together.
From the picture you can see;
Rectangular box volume is 4 x 8 x 12 = 384 m³
Triangular roof volume is area of front triangle multiplied through the length. (1/2)*8*3* 12 = 144 m³
Total volume = 384 m³ + 144 m³
= 528 m³
The solution of the equation is x = 2
Step-by-step explanation:
The original equation is
We solve it using the following steps:
1) We apply the addition property of equality: by adding the same factor on both sides of the equation, the equation does not change.
In this case, we add +10 on both sides, and we get:
2) We apply the division property of equality: by dividing both sides of the equation by the same number (different from zero), the equation does not change.
In this case, we divide both sides of the equation by 5, and we get:
Therefore, the solution of the equation is 
.
Learn more about solving equations:
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Answer:
1st term: 1, 2nd term: 3, 3rd term: 5, 4th term: 7 & 10th term: 19
Step-by-step explanation:
1st term: 2(1) - 1
2 - 1 = 1
2nd term: 2(2) - 1
4 - 1 = 3
3rd term: 2(3) - 1
6 - 1 = 5
4th term: 2(4) - 1
8 - 1 = 7
10th term: 2(10) -1
20 - 1 = 19
