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Ganezh [65]
3 years ago
5

5.815 in mixed number

Mathematics
2 answers:
zhannawk [14.2K]3 years ago
8 0
The answer is 5 815
1000
gizmo_the_mogwai [7]3 years ago
3 0
5  163/200 is 5.815 in a mixed number

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The graphs of f(x) and g(x) are shown below:
rosijanka [135]
<h2>Answer:</h2>

Option: C is the correct answer.

            C.)   x = −3.8, 3

<h2>Step-by-step explanation:</h2>

The function f(x) is given by:

           f(x)=x^2-x-12

and the function g(x) is given by:

            g(x)=-1.8x-0.6

Now, we are asked to find the solution of the equation:

        f(x)=g(x)

i.e. we have to find the value of x such that both the functions are equal i.e.

x^2-x-12=-1.8x-0.6\\\\i.e.\\\\x^2-x+1.8x-12+0.6=0\\\\i.e.\\\\x^2+0.8x-11.4=0\\\\i.e.\\\\10x^2+8x-114=0\\\\i.e.\\\\5x^2+4x-57=0

Now, on solving the equation using the quadratic formula i.e. the solution of the equation:

ax^2+bx+c=0

is given by:

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Here we have:

a=5,\ b=4\ and\ c=-57

Hence, the solution is given by:

x=\dfrac{-4\pm \sqrt{4^2-4\times 5\times (-57)}}{2\times 5}\\\\i.e.\\\\x=\dfrac{-4\pm \sqrt{16+1140}}{10}\\\\i.e.\\\\x=-3.8\ and\ x=3

6 0
3 years ago
Find the diagonal of a rectangular frame which measures 77 in. by 36 in.
quester [9]

Answer:

Diagonal of a rectangular frame = 85 inch

Step-by-step explanation:

Given:

Length of rectangle = 77 inch

Width of rectangle = 36 inch

Find:

Diagonal of a rectangular frame

Computation:

Diagonal of a rectangle = √l² + b²

Diagonal of a rectangular frame = √77² + 36²

Diagonal of a rectangular frame = √5,929 + 1,296

Diagonal of a rectangular frame = √7,225

Diagonal of a rectangular frame = 85 inch

7 0
3 years ago
Samuel is trying to construct the inscribed circle of a triangle.
Yuki888 [10]

The next step to complete the construction will connect the in-center to one of the sides of the triangle.

<h3>What is a circle?</h3>

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

Samuel is trying to construct the inscribed circle of a triangle.

Using the angle bisectors to find the in-center.

Where two angles bisector meets, the point called in-center.

Next step will be: connect the in-center to one of the sides of the triangle.

Thus, the next step to complete the construction will be connect the in-center to one of the sides of the triangle.

Learn more about circle here:

brainly.com/question/11833983

#SPJ1

3 0
2 years ago
PLEASE solve both question with each step!!
Shkiper50 [21]

Answer:

6x+10-3x=55

6x-3x=10+55

3x=65

65÷3=21.6

5 0
3 years ago
Read 2 more answers
M is the midpoint of jk. find the y coordinate of k if j(-8,4) and m(-3,2)
zalisa [80]

\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ j(\stackrel{x_1}{-8}~,~\stackrel{y_1}{4})\qquad  k(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right) \\\\\\ \left( \cfrac{x-8}{2}~~,~~\cfrac{y+4}{2} \right)~~=~~\stackrel{m}{(-3,2)}\implies  \begin{cases} \cfrac{x-8}{2}=-3\\[0.8em] x-8=-6\\ \boxed{x=2}\\[-0.5em] \hrulefill\\ \cfrac{y+4}{2}=2\\[0.8em] y+4=4\\ \boxed{y=0} \end{cases}

4 0
3 years ago
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