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Elina [12.6K]
2 years ago
7

What is an equation of the line that passes through the points (−7,−7) and (−5,−3)?

Mathematics
1 answer:
Lana71 [14]2 years ago
3 0
The answers is -10/13
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Kyona opened a savings account with $500. Her account grew at a rate of 3% per year compounded
Kaylis [27]

Answer:

560.00

Step-by-step explanation:

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2 years ago
Physics students were modeling the height of a ball once it was dropped from the top of a 10 foot ladder. The
julsineya [31]

Answer:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

Step-by-step explanation:

Given that:

Equation of height of the ball dropped from a height of 10 foot, as:

h(t) = 10 - 2t^2

Where t is the time since the ball was dropped.

To find:

The domain of the function in Interval and set builder notation.

Solution:

<em>Domain of a function </em>is defined as the set of valid input values that can be given to the function for which the function is defined.

Here, input is time.

We can not have negative values for time.

Therefore, starting value for time will be <em>0 seconds</em>.

And the value of height can not be lesser than that of 0 ft.

0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds

Maximum value for time can be 2.236 seconds.

Therefore the domain is:

<em>Interval notation: [0, 2.236]</em>

<em>Set Builder notation: </em>\{t\ |\ 0\le t\le 2.236\}

4 0
3 years ago
What is √-11 in the form a+bi?
Mice21 [21]

Given:

The number is \sqrt{-11}.

To find:

The a+bi form of given number.

Solution:

We have,

\sqrt{-11}

It can be written as

\sqrt{-11}=\sqrt{-1\times 11}

\sqrt{-11}=\sqrt{-1}\times \sqrt{11}      [\because \sqrt{ab}=\sqrt{a}\sqrt{b}]

\sqrt{-11}=i\times \sqrt{11}      [\because \sqrt{-1}=i]

\sqrt{-11}=\sqrt{11}i

Here, real part is missing. So, it can be taken as 0.

\sqrt{-11}=0+\sqrt{11}i

So, a = 0 and b=\sqrt{11}.

Therefore, the a+bi form of given number is 0+\sqrt{11}i.

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Solve for x. 1/4 (x^2 + 16) = 68
ehidna [41]

düï ëítr ŵŷ

Step-by-step explanation:

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3 years ago
Write the equation of the line in slope intercept form that given f(- 3) = 5 and f(3)=-3,
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Step-by-step explanation:

the first coordinate is (-3 5),

x+3y -12 the second coordinate is (3, 3)

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