Answer:
1=x or x=1
Step-by-step explanation:
3(x+2)-10=4x-6+x
distribute
3x+6-10=4x-6+x
combine like terms
3x-4=5x-6
subtract 3x from each side
-4=2x-6
add 6 to both sides
2=2x
divide by 2
1=x or x=1
Answer:
Step-by-step explanation:
1. Area => 7.5 x 2 = 15 m² (Choice B)
2. Area => 5 x 11 = 55 in² (Choice B)
3. Area = (12 x 18) * 0.5 = 108 cm² (Choice A)
4. Triangular Pyramid (Choice D)
6. Area of Rectangle => 12 x 9 = 108
Area of Triangle => 7x6 = 42
Sum of Area => 150
7. Surface Area => (4x4)x6 = 96 in² (Choice D)
8. Volume = 3x15x14 = 630 in³ (Choice D)
Answer:
The last choice.
Step-by-step explanation:
The value of k must be restricted from being one that makes the original denominator zero. Hence k ≠ -1 or 5.
Answer: k=9/4
Step-by-step explanation: We can do this by finding a number that adds up to 3 when multiplied by 2. The best way to do this is to use ((b^2)/4) which can usually find you the number for a perfect square based on b, which we have. So, 3^2 / 4 =9/4, meaning k=9/4. We can check:
>x^2 +3x +9/4
> (x+3/2)(x+3/2)
Perfect square.
Answer:
176cm³
Step-by-step explanation:
Multiply area of base times height
22cm² × 8cm = 176cm³
