It's best to write the two equations as a vertical column:
8x+14y=4
-6x-7y = -10
Note that if we multiply the 2nd equation by 2, we get -12x - 14y = -20. The reason for wanting this version of the 2nd equation is that its -14y cancels the +14y in the first equation:
-12x - 14y = -20
8x+14y=4
Combine these equations, column by column. We get -4x = -16, which results in x = 4. Now find y by subbing 4 for x in either given equation. If we use the first equation, we get 8(4) + 14y = 4, or 32 + 14y = 4, or 14y = -28. Then y = -2.
The solution to this system of linear equations is thus (4,-2).
Check this result by substitution of these coordinates into -6(4) - 7y = -20:
-24 - 7(-2) = -10. Is this true or not?
-24 + 14 = -10 is true. Thus, (4,-2) is the desired solution.
Answer:
-1/10 for first one and -4/2 for second one
Step-by-step explanation:
lol can I have brainliest?
You didn't include the formula.
Given that there is no data about the mass, I will suppose that the formula is that of the simple pendulum (which is only valid if the mass is negligible).
Any way my idea is to teach you how to use the formula and you can apply the procedure to the real formula that the problem incorporates.
Simple pendulum formula:
Period = 2π √(L/g)
Square both sides
Period^2 = (2π)^2 L/g
L = [Period / 2π)^2 * g
Period = 3.1 s
2π ≈ 6.28
g ≈ 10 m/s^2
L = [3.1s/6.28]^2 * 10m/s^2 =2.43 m
I hope this helps you.
Answer:
The experimental probability can be expressed in three ways:
Fraction Form: 3/6 or 1/2
Decimal Form: 0.5
Percent Form: 50%
Step-by-step explanation:
Experimental probability is expressed as:
<em>(Favorable outcomes) / (Total outcomes)</em>
The favorable outcome in this situation is blubbery muffins. There were 3 blueberry muffins sold, so this is the <u>numerator</u> of our fraction.
To find the total outcomes we add 3 + 3, which equals 6. This will be the <u>denominator</u> of our fraction.
The fraction used to express experimental probability will look like this: 3/6
We can further simplify this to 1/2.
3 ÷ 3 = 1
6 ÷ 3 = 2
To find a decimal, we divide 1 ÷ 2 = 0.5
Multiply this by 100 to get a percentage, 0.5 x 100 = 50%
