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saveliy_v [14]
2 years ago
15

What is the distance from (-4, -7) to (4, 8) ?

Mathematics
2 answers:
Galina-37 [17]2 years ago
5 0

Answer:

17

Step-by-step explanation:

You are given two points so you use the distance formula

\sqrt{( {x 2 - x1)}^{2} + ( {y2 - y1)}^{2}  }

Substitute your points into the formula

Mila [183]2 years ago
4 0

Answer:

17

Step-by-step explanation:

We can use this formula:

\sqrt{(x2-x1)^2 + (y2 -y1)^2} where x and y indicate the coordinates of the two points

\sqrt{4-(-4)^2 + (8-(-7)^2} = \sqrt{64 + 225} = \sqrt{289} = 17

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Alex787 [66]

Solution :

Given the equation :

$y = x^2 - 6x+3 $

$y=1(x^2 - 6x +n)+3$

$n = \left(\frac{b}{2}\right)^2$

$n = \left(\frac{6}{2}\right)^2$

n = 9

$y=1(x^2 - 6x +9-9)+3$

$y=1(x^2 - 6x +9)-9+3$

$y=1(x-3)^2- 6$

Therefore the vertex form of $y = x^2 - 6x+3 $  is  $y=1(x-3)^2- 6$.

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2 years ago
What function type does the table of values represent? Question 7 options: A) Linear B) Quadratic C) Exponential D)
DanielleElmas [232]
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For the given function f(x) = 2.6x + 4.3, x is the number of years since 2000 and y (or f(x)) is the percent of students taking
dsp73

Answer:

  in 2005, 17.3 percent of students are taking at least one online course

Step-by-step explanation:

f(5) = 2.6(5) +4.3 = 17.3

The definition of the function f(x) tells you that f(5) = 17.3 means 5 years after the year 2000, 17.3 percent of students are taking at least one online course.

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A submarine started at 750 meters below sea level. It rose 50 meters per hour over a 4-hour period. Which expression represents
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Answer:

y(t) = 750 -50t

Step-by-step explanation:

We want to model the position of the submarine as a function of time.

Notice that we have a constant amount. The initial depth: 750 meters

 Then we have a factor that varies over time. Every hour the submarine ascends 50 meters. therefore as t increases the depth y(t) of the submarine decreases. Then the factor is:

-50t.

Where t represents the time in hours.

Then the equation that represents the new position of the submarine in relation to the level of the sea:

y(t) = 750 -50t

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