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Nady [450]
3 years ago
14

The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is v+7= -2/5(x-10). What is the stand

ard form of the equation for this line?
Mathematics
1 answer:
Juliette [100K]3 years ago
6 0
Standard form: Ax + By = C
so
<span>y +7= -2/5(x-10)
5y + 35 = -2x + 20
2x + 5y = -15 .............this is </span>Standard form <span>

</span>
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Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di
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Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = \frac{523.46}{11} = 47.587

Hence Cole spend 47.587 on buying gifts for each person.

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Determine the distance between -10 and 5. HELP
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Answer: 15

Step-by-step explanation: Good luck! :D

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Answer:

94.50

Step-by-step explanation:

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Please help find the probability that x &gt;25.
bija089 [108]

Answer

The total probability is one:

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Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h
SVEN [57.7K]

The given function is

h(x)=-16x^2+300x+20

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

h=-\frac{b}{2a}

Where a = -16 and b = 300.

\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}

Then, we find k by evaluating the function

\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

t=2\cdot9.375=18.75

Hence, the rocket hits the ground after 18.75 seconds.

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1 year ago
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