x2=36
We move all terms to the left:
x2-(36)=0
We add all the numbers together, and all the variables
x^2-36=0
a = 1; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·1·(-36)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ‾‾√=144‾‾‾‾√=12
x1=−b−Δ√2a=−(0)−122∗1=−122=−6
x2=−b+Δ√2a=−(0)+122∗1=122=6
Three consecutive odd integers would be x, x+2, and x+4 assuming x is an odd integer. The smallest of these is x. Two times x is 2x. The greatest integer is x+4. Three times this is 3 (x+4), and if you distribute you get 3x+12. If 2x exceeds this by 15, you would make it 3x+12-15. If you add the like terms, 12+(-15) is -3. So, you have 2x=3x-3. Subtract 3x from both sides. 2x-3x is -1x, or -x. Now we have -x=-3. Divide by -, or -1 on both sides. Now we have x=3. You can substitute x for 3 for any of the consecutive odd integers to find their value.
Hope this helps you If you need any more help let me know in the comments
Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
<u>Answer</u>
y = (1/2)x - 1
<u>Explanation</u>
The first step is to get the gradient of the line.
The two points in the line are; (2,0) and (-2, -2).
Gradient = (-2 - 0)/(-2, - 2)
= -2/-4
= 1/2
To get the function we use one of the point (2,0) and a general point (x,y).
1/2 = (y - 0)/(x - 2)
1/2 = y/(x - 2)
(x - 2) = 2y
2y = x - 2
y = (1/2)x - 1
