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2 years ago

13

What is the equation of a line that has a slope of -1/2 and contains the point (8,1)?

1 answer:

Troyanec [42]2 years ago

3 0

$(\stackrel{x_1}{8}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ -\cfrac{1}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{-\cfrac{1}{2}}(x-\stackrel{x_1}{8}) \\\\\\ y-1=-\cfrac{1}{2}x+4\implies y=-\cfrac{1}{2}x+5$

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If the distance covered by an object in time t is given by s(t)=t^2+5t , where s(t) is in meters and t is in seconds, what is th

alisha [4.7K]

Answer:

E. 44 meters

Step-by-step explanation:

The function that models the distance covered by the object is

$s(t)=t^2+5t$

where s(t) is in meters and t is in seconds.

The distance covered by the object after 1 second is

$s(1)=1^2+5(1)=6m$

The distance covered by the object after 1 second is

$s(1)=5^2+5(5)=50m$

The distance covered between 1 second and 5 seconds is

50-6=44m

6 0

3 years ago

Solve each equation for the indicated variable g=a+c+b,for a

Mariulka [41]

Answer:

a= g-b-c

Step-by-step explanation:

g=a+c+b

g-b=a+c

g-b-c= a

a= g-b-c

3 0

3 years ago

5. Find the circumcenter of the triangle. XXX CU 3 (4,2) KNNYA XHENNARO 3 ****************++++++ 5 NET Virtual cla 44,-3) WHEREw

Elan Coil [88]

The circumcenter of a right angled triangle is midpoint of the hypotenuse side.

Determine the midpoint of the hypotenuse.

$\begin{gathered} x=\frac{-4+0}{2} \\ =\frac{-4}{2} \\ =-2 \end{gathered}$

For y coordinate,

$\begin{gathered} y=\frac{2-3}{2} \\ =\frac{-1}{2} \end{gathered}$

So, circumcenter of triangle is,

$(-2,\frac{-1}{2})$

8 0

10 months ago

The area of a triangle is 11.5 square in the base is 23 in what is the height in inches

coldgirl [10]

Answer:

Height = 1 inch

Step-by-step explanation:

area of triangle = 1/2 x base x height

11.5 =1/2 x 23 x height

23/23 = height

height = 1

6 0

2 years ago

Read 2 more answers

If function f is a cubic polynomial which statement most accurately describes the function over the interview (0,1)

inysia [295]

Answer:

Option (B)

Step-by-step explanation:

From the given table,

With the increase in the values of x (from x = -2 to x = 2), values of the function is decreasing from x =2 to x = 4.

Interval (0, 1) lies in the domain of the function in which the y-values of the function are,

At x = 0,

f(0) = -6

At x = 1,

f(1) = 0

Therefore, values of the given function are increasing in the interval of (0, 1).

Option (B) will be the correct option.

7 0

3 years ago