Solve:
1.4n + 2 = 2n + 3.2
Group like terms and change its corresponding signs.
1.4n - 2n = 3.2 - 2
Simplify each term:
-0.6n = 1.2
Find n by dividing each side with -0.6
-0.6n/-0.6 = 1.2 / -0.6
n = -2
The last line of the justification is the division -0.6n and 1.2 by -0.6.
If you put brackets around (2+1), your method of working is:
1) 15-4*(2+1)=3
2) 15-4*3=3
3) 15-12=3
You don't need any more brackets, as the BIDMAS (brackets, Indices, division, multiplication, addition, subtraction) rule does the rest of the job for you.
The answer is therefore: 15-4*(2+1)=3
You'll want to work with the center-radius form of a circle equation for this. the center formula is <span>(x – h)</span>²<span> + (y – k)</span>²<span> = r</span>², where (h, k) is your center and r is your radius. plug in the information your circle gives you: A(-3, 12), radius = 5
(x + 3)² + (y - 12)² = (5)² ... simplify the right side
(x + 3)² + (y - 12)² = 25 ... from here, you need to foil both of your binomials to convert this to the "general form" that your answer choices are in.
(x + 3)² = (x + 3)(x + 3) = x² + 6x + 9
(y - 12)² = (y - 12)(y - 12) = <span>y² - 24y + 144
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x² + 6x + 9 + y² - 24y + 144 = 25 ... combine like terms
x² + 6x + y² - 24y + 153 = 25 ... subtract 25
x² + 6x + y² - 24y + 128 = 0 is your equation. reorder it so that it's from the highest degree to the lowest: x² + y² + 6x - 24y + 128 = 0 is your result (C).
Answer:
255 minutes
Step-by-step explanation:
306 can be subtracted by 102 a total of 3 times. We know that for every 102 miles = 85 minutes. So 85 * 3 = 255.
The formula for volume is length×width×height (lwh). So if the length, width and height are the same, then the measurement of each is the cube root of 729:
So the length of each side of the prism is 9ft