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UNO [17]
3 years ago
15

For the right triangle find the missing length Round your answer the nearest teren

Mathematics
1 answer:
Talja [164]3 years ago
5 0

Answer:

hello! i can answer in the comments if you tell me what the lengs are and where they are located! i cannot see the picture due to my school computer blocking images on the site so that's why i need the explanation. thanks :>

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
sdas [7]

Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

y=ax^2+bx+c

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

-13=a(-7)^2+b(-7)+c

49a-7b+c=-13

(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

-7b=0

b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

5 0
3 years ago
What is the definition of evaluate? this is for a test please help​
Daniel [21]

Answer:

The definition of evaluate is to find a numerical expression or equivalent for - an equation, formula or function.

Step-by-step explanation:

6 0
3 years ago
HELP HELP HELP<br><br> Just 5 quick algebra 1 questions for 50 points!
riadik2000 [5.3K]

1. x = a

2. y = b

3. It has an undefined slope.

4. You can either use, rise/run or change in y / change in x.

5. Rewrite the given equation in slope-intercept form, then determine the y-intercept, b, of the line.

<h3>What is the Equation of a Line?</h3>

Equation of a line with m as slope and b as y-intercept is given as: y = mx + b.

1. Vertical lines have undefined slope. This implies that, for a given point, (a, b), the equation that models the line would be expressed as x = a, where a is the x-intercept.

Vertical line equation is: x = a.

2. Horizontal lines have 0 as a slope value, therefore, given (a, b), the equation that models the line is: y = b.

3. Equation for a vertical line cannot be written in slope-intercept form because the slope for a vertical line is undefined.

4. Using the following, rise/run or change in y / change in x, the slope (m), can be calculated given the coordinates of two points on a line.

5. To find an equation in point-slope form, e.g. y - 3 = 6(x - 4), rewrite the equation in slope-intercept form:

y - 3 = 6x - 24

y = 6x - 24 + 3

y = 6x - 21

The y-intercept, b, is: -21.

Therefore, the coordinate of the y-intercept would be: (0, -21).

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1

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2 years ago
Which of the following statements about using a protractor are correct?
DedPeter [7]
The protractor measures angles that open from left or from the right

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3 years ago
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50 POINTS !!!!!!!!
Bingel [31]

Answer:

Step-by-step explanation:

 i wont tell you the answer but if you use brainly all the time you will not learn how to do it so try hard get a pen or a pencil get paper and stay confident you got this! i belive in you

6 0
3 years ago
Read 2 more answers
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