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Sauron [17]
3 years ago
9

(2x-3)^2=49

^{2} = 49" alt="(2x - 3 ) ^{2} = 49" align="absmiddle" class="latex-formula">
completing the square
Mathematics
1 answer:
inna [77]3 years ago
5 0
(2x-3)^2=49\iff2x-3=\pm\sqrt{49}\\\\2x-3=-7\ \vee\ 2x-3=7\ \ \ |+3\\\\2x=-4\ \vee\ 2x=10\ \ \ \ |:2\\\\x=-2\ \vee\ x=5
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Help with these plz thanks
asambeis [7]

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7 0
3 years ago
Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with a const
Vilka [71]

Answer:

Alison wins against Kevin by 0.93 s

Step-by-step explanation:

Alison covers the last 1/4 of the distance in 3 seconds, at a constant acceleration a_a, we have the following equation of motion

s/4 = a_at_a^2/2

where s (m) is the total distance, ta = 3 s is the time

s = 4a_a3^2/2 = 18a_a

a_a = s/18

Similarly, Kevin overs the last 1/3 of the distance in 4 seconds, at a constant acceleration a_k, we have the following equation of motion:

s/3 = a_kt_k^2/2

tk = 4 s is the time

s = 3a_k4^2/2 = 24a_k

a_k = s/24

Since a_a = s/18 we can conclude that a_a > a_k, so Alison would win.

The time it takes for Alison to cover the entire track

s = a_aT_a^2/2

T_a^2 = 2s/a_a = 2s/(s/18) = 36

T_a = \sqrt{36} = 6 s

The time it takes for Kevin to cover the entire track

s = a_kT_k^2/2

T_k^2 = 2s/a_k = 2s/(s/24) = 48

T_a = \sqrt{48} = 6.93 s

So Alison wins against Kevin by 6.93 - 6 = 0.93 s

4 0
3 years ago
Paula has buttons. she gives away 28 buttons. choose the expression that shows the number of buttons paula has left.
mamaluj [8]

Answer:

y = 28 - x

Step-by-step explanation:

The variable x represents how many buttons Paula had before giving 28 away and the variable y represents how many buttons she has now.

3 0
2 years ago
Anyone know the answer to these?
Arturiano [62]

Step-by-step explanation:

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8 0
3 years ago
Help With An Essay Question?
topjm [15]

Part A: The coefficients (numbers) are 75 and 25, while the variables (letters) are x and y.

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Part C: The term in the expression that shows the total earned from pizzeria is 75x, which, when simplified, will give you the pizzeria term.

hope this helps

3 0
3 years ago
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