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Colt1911 [192]
2 years ago
13

Sean and mason run out of gas while fishing from their boat in the bay. They set off an emergency flare with and initial velocit

y of 30 meters per second. The height of the flare in meters can be modeled by h(t) = -5t^2 + 30t, where t represents the number of seconds after launch. Sean wants to know how high the flare will reach above the surface of water. a. Write the function in vertex form, factoring so the coefficient of t^2 is 1. b. Complete the square using the vertex form of the function. c. How high will the flare reach?
Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

Answer:

Step-by-step explanation:

v

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Write the equation of the line that is perpendicular to the line y = 2x + 2 and passes through the point (6, 3).
weeeeeb [17]

Answer:

\[y = (-1/2) * x + 6\]

Step-by-step explanation:

Equation of the given line: y=2x+2

Hence the slope of the line is given by 2

Any line which is perpendicular to the given line will have a slope m such that m*2 = -1

Or, \[m = \frac{-1}{2}\]

Only options 2 and 3 satisfy this condition.

The line is also supposed to pass through the point (6,3).

Substituting these values in the option 2:

\[3 = (-1/2) * 6 + 3\]

Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.

Now substituting (6,3) in option 3:

\[3 = (-1/2) * 6 + 6\]

Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.

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3 years ago
Need help with math problem give 5 stars and brain thingy point
Nadusha1986 [10]

Answer:

There are 12 sections, out of the 12 sections the third section is marked. So that would be, 3/12 which simplifies to 1/4

5 0
2 years ago
Read 2 more answers
Solve square root <br> X^2+12x+43=0
AlekseyPX
x^2+12x+43=0&#10; 

x= \dfrac{-b+ \sqrt{b^2-4ac} }{2a}, \dfrac{-b- \sqrt{b^2-4ac} }{2a} 

x= \dfrac{-12+ \sqrt{12^2-4*43} }{2},\dfrac{-12- \sqrt{12^2-4*43} }{2} 

x= \dfrac{-12+2 \sqrt{7i} }{2}, \dfrac{-12-2 \sqrt{7i} }{2} 

x=-6+ \sqrt{7i},-6- \sqrt{7i}
5 0
2 years ago
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Cristiano is saving money to buy a bike that costs $189. He saved $99 so far. He plans on saving $10 each week. In how many week
Jlenok [28]

Answer:

189-99=90 (What he needs left)

90/10= 9

so the answer is 9 weeks.

6 0
3 years ago
Can someone ppl me lease help me with this question and not text me ab random stuff… :/
OLga [1]

Answer:

{2,3,5,6,8}

Step-by-step explanation:

U={1,2,3,4,5,6,7,8}

A{3,4,5,6}

B{1,4,8}

C{2,3,4,5,6}

We are to find

{A' n B} U {A' n C'}

={3,5,6,8}. U. {2}

= {2,3,5,6,8}

3 0
2 years ago
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