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3 years ago

Check the obtained values of 4s²+12s=-9

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

s = $-\frac{3}{2}$ or -1.5

Step-by-step explanation:

4s² + 12s = -9

→ Add 9 to both sides

4s² + 12s + 9 = 0

→ Find factors that times to 9 and add to 12

( 2s + 3 ) ( 2s + 3 ) = 0

→ Solve

s = $-\frac{3}{2}$ or 0.15

marta [7]3 years ago

6 0

$\\ \bull\tt\looparrowright 4s^2+12s=-9$

$\\ \bull\tt\looparrowright 4s^2+12s+9=0$

$\\ \bull\tt\looparrowright 4s^2+6s+6s+9=0$

$\\ \bull\tt\looparrowright 2s(2s+6)+3(2s+3)=0$

$\\ \bull\tt\looparrowright (2s+6)(2s+3)=3$

$\\ \bull\tt\looparrowright s=-2\:or\:s=\dfrac{-3}{2}$

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3 years ago

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babunello [35]

Answer:

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Step-by-step explanation:

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3 years ago

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garri49 [273]

Answer:

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Step-by-step explanation:

we know that

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3 years ago

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Step-by-step explanation:

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3 years ago

What are the coordinates of the point that is 3/8 of the way from A(-8,-9) to B(24,-1)

dimaraw [331]

$\text{Let the coordinate of the point be P(x,y)}.\\
\\
\text{this point is 3/8 of the way from }A(-8,-9)\text{ to }B(24,-1).\\
\text{so this point is divide the line joining AB in a ratio }3:5\\
\\
\text{by the division ratio, we know that if a point P divides }A(x_1,y_1)\text{ and }B(x_2,y_2)\\
\text{in a ratio m:n, then we have}$

$P=\left ( \frac{mx_2+nx_1}{m+n}, \ \frac{my_2+ny_1}{m+n} \right )\\
\\
\text{so using this, the coordinates of the required point are:}\\
\\
P=\left ( \frac{3(24)+5(-8)}{3+5}, \ \frac{3(-1)+5(-9)}{3+5} \right )\\
\\
\Rightarrow P=\left ( \frac{32}{8}, \ \frac{-48}{8} \right )\\
\\
\Rightarrow P=(4, -6)$

Hence the coordinate of the point that is 3/8 of the way from A to B is: (4, -6)

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4 years ago

Check the obtained values of 4s²+12s=-9​

Check the obtained values of 4s²+12s=-9