Rolling a number cube labeled 1-6 and tossing a nickel
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OK.
If you predict a number between 1 and 6, and
also predict heads or tails, then roll and flip,
the probability that the roll and flip will all fall
exactly like you predicted is
(1/6) x (1/2) = 1/12 = (8 and 1/3) % .
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Celia and Ryan are starting a nutrition program. Celia currently consumes 1200 calories a day and will increase that number by 100 calories each day. Ryan currently consumes 3230 calories a day and will decrease that number by 190 each day. They will continue consuming that same number of calories per day. In how many days will that be?
Estimate the sum of 196 and 482
you choose a movie CD at random from a case containing 8 comedy CD's, 5 science fiction, and 7 adventure. The CD is not a comedy
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Answer:
53/100cm^2 (0.53cm^2)
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You want to isolate one of the variables (x or y) so you can plug it into the other equation. The easiest one is isolating the 2nd equation.
3x² - 16x + 13 - y = 0 Add y on both sides
3x² - 16x + 13 = y
You can use this and plug it into the first equation
y - 12x + 15 = 3x²
(3x² - 16x + 13) - 12x + 15 = 3x²
3x² - 16x + 13 - 12x + 15 = 3x² Combine like terms
3x² - 28x + 28 = 3x² Subtract 3x² on both sides
-28x + 28 = 0 Add 28x on both sides
28 = 28x Divide 28 on both sides
1 = x
Now that you know x, you can plug it into either of the equation to find y
3(1)² - 16(1) + 13 - y = 0
3 - 16 + 13 - y = 0
-y = 0 Divide -1 on both sides
y = 0
x = 1, y = 0
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Answer:
x=-1,y=7
x=-3,y=3
Step-by-step explanation:
y=2x+9
5x^2+(2x+9)^2=54
0=(3x+9)(3x+3)
-9 -9
y=2x+9
5x2+(2x+9)^2=54
(-3, 3)
(-1, 7)
Write the equation of line m.
Write the equation of line n.
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Line m equation is .
Line n equation is .
Step-by-step explanation:
Here , we have Line m has no y-intercept, and its x-intercept is (-5, 0). Line n has no x-intercept, and its y-intercept is (0, 3). Let's find out equation of both line step by step:
Equation of line m:
Line m has no y-intercept , that means line is never intersecting y-axis which is only possible when line is parallel to y-axis , also this line have x-intercept as (-5,0) i.e. cuts x-axis at x = -5 .
⇒
⇒
∴ Line m equation is .
Equation of line n:
Line n has no x-intercept , that means line is never intersecting x-axis which is only possible when line is parallel to x-axis , also this line have y-intercept as (0,3) i.e. cuts y-axis at y = 3 .
⇒
⇒
∴ Line n equation is .
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Hope that helped you.
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The moon is roughly a sphere, with an average radius of 1,738 kilometers.
The area of a sphere is 4 pi R² .
Area of the moon = (4 pi) (1,738 km)² =
(12.566) (3,020,644 km²) = 3.796 x 10⁷ km²