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4 years ago

A bridge connecting two cities separated by a lake has a length of 5.651 mi.

Mathematics

1 answer:

Vlada [557]4 years ago

7 0

Answer:

The equivalent of 5.651 mi is 9945.76 yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76 yards

5.651 * 1760 yards = 9945.8 yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76 yards

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Inverse Function f(x)= -4 + 2/3x

Fiesta28 [93]

Answer:

$f^{-1}(x)=\frac{3x}{2} +6$

Step-by-step explanation:

hope this helps

8 0

4 years ago

find the equation in slope intercept form of a line that is a perpendicular bisector of segment AB with endpoints A(-5,5) and B(

aliina [53]

The equation in slope intercept form of a line that is a perpendicular bisector of segment AB with endpoints A(-5,5) and B(3,-3) is y = x + 2

<h3>Solution:</h3>

Given, two points are A(-5, 5) and B(3, -3)

We have to find the perpendicular bisector of segment AB.

Now, we know that perpendicular bisector passes through the midpoint of segment.

The formula for midpoint is:

$\text { midpoint }=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

$Here x_1 = -5 ; y_1 = 5 ; x_2 = 3 ; y_2 = -3$

$\text { So, midpoint of } A B=\left(\frac{-5+3}{2}, \frac{5+(-3)}{2}\right)=\left(\frac{-2}{2}, \frac{2}{2}\right)=(-1,1)$

Finding slope of AB:

$\text { Slope of } A B=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$\text { Slope } m=\frac{-3-5}{3-(-5)}=\frac{-8}{8}=-1$

We know that product of slopes of perpendicular lines = -1

So, slope of AB $\times$ slope of perpendicular bisector = -1

- 1 $\times$ slope of perpendicular bisector = -1

Slope of perpendicular bisector = 1

We know its slope is 1 and it goes through the midpoint (-1, 1)

The slope intercept form is given as:

y = mx + c

where "m" is the slope of the line and "c" is the y-intercept

Plug in "m" = 1

y = x + c ---- eqn 1

We can use the coordinates of the midpoint (-1, 1) in this equation to solve for "c" in eqn 1

1 = -1 + c

c = 2

Now substitute c = 2 in eqn 1

y = x + 2

Thus y = x + 2 is the required equation in slope intercept form

7 0

4 years ago

Please please please help me

Leviafan [203]

The correct answer is 17 what i did was plug in 17 where ever you see x so x2 would be 17x2 an then plus the 5 gives u 39 3x 17x3=51 51+10=61 now add the totals 61 plus 39 gives u 100

8 0

3 years ago

Read 2 more answers

Help asap GIVING BRANLIST!!!!

Sedaia [141]

Answer:

The first graph

Step-by-step explanation:

when x is equal to something it is always up

y = 2 would be #4

3 0

3 years ago