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3 years ago

5

So I have this question I cannot figure out 3w+w2+1=10−w

1 answer:

Mandarinka [93]3 years ago

4 0

Answer:

<u>Answer</u><u>:</u><u> </u><u>w</u><u> </u><u>is</u><u> </u><u>1</u><u>.</u><u>6</u><u> </u><u> </u><u>or</u><u>. </u><u>-</u><u>5</u><u>.</u><u>6</u><u> </u>

Step-by-step explanation:

• I guess the question asks to find the value of w

${ \rm{3w + {w}^{2} + 1 = 10 - w }}$

• arrange the equation in a quadratic equation format. i.e; ax² + bx + c = 0

${ \rm{ {w}^{2} + (3w + w) + 1 - 10 = 0 }} \\ \\ { \rm{ {w}^{2} + 4w - 9 = 0 }}$

• let's solve the equation using the quadratic formular

$\hookrightarrow \: { \tt{w = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }} \\$

a is 1
b is 4
c is -9

• Substitute following the mathematical operation rules:

${ \rm{w = \frac{ - 4 \pm \sqrt{ {4}^{2} - (4 \times 1 \times - 9) } }{(2 \times 1)} }} \\ \\ { \rm{w = \frac{ - 4 \pm \sqrt{52} }{2} }}$

• split the result:

${ \rm{either \: \{w = \frac{ - 4 + \sqrt{52} }{2} \} \: \: or \: \: \{w = \frac{ - 4 - \sqrt{52} }{2} \} }} \\ \\ { \rm{either \: \{w = 1.6 \} \: \: or \: \: \{w = - 5.6 \}}}$

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3 years ago

What's the distance between (-9,-6) and (-2,-2)

ser-zykov [4K]

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7^2 + 4^2 = 49+16 = 65

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Step-by-step explanation:

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3 years ago

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Solve by factoring x^2 + 8x =9

Helen [10]

Answer:

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2 years ago

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Hope this helps :)

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3 years ago

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Answer:

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Step-by-step explanation:

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t₂ is the time taken on the way back

The trip is the same distance to and fro. Therefore,

d₁ = d₂

Substituting the equation for d₁ and d₂

280t₁ = 240t₂ ------(3)

It took one hour less time to get there than it did to get back, then,

t₁ = t₂ - 1

t₂ = t₁ + 1 ------(4)

Substituting equation (4) into equation (3)

280t₁ = 240(t₁ + 1)

280t₁ = 240t₁ + 240

280t₁ - 240t₁ = 240

40t₁ = 240

t₁ = 240/40

t₁ = 6 hours

From equation (4)

t₂ = t₁ + 1

t₂ = 6 + 1

t₂ = 7 hours

The total time for the trip is t₁ + t₂ = 6 + 7

= 13 hours

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