Which is the graph of fix) = 1 (47"?

A. angleFJG = angleHJG by SAS<br> PLEASE HELP

Vlada [557]

Answer:

J is midpoint

side FJ = side JH Def of midpoint

angle GJF = GJH perpendicular bisector both 90 degrees

JG=JG reflexive property

Therefore triangle FJG = HJG

3 0

3 years ago

Martina has 240 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and wil

NNADVOKAT [17]

Answer:

Step-by-step explanation:

Answering a comes from simplification, and answering b and c are done all in one step: completing the square on the quadratic that results from a.

(a) If Martina has 240 m of fencing and is only utilizing one side for the length and 2 sides for the width, the perimeter formula is

240 = x + 2w where x is a length and w is the width. Solving this for w in terms of x:

240 - x = 2w so

$w=120-.5x$ The area for a rectangle is L * W, so our area using the lengths we have is

A(x) = x(120 - .5x) and we simplify:

A(x) = 120x - .5x² That's the answer to a.

Now for b and c, we will complete the square on this to get the vertex.

Begin by factoring out the -.5:

$A(x)=-.5(x^2-240x)$ Now we take half the linear term, square it and add it both inside the parenthesis and outside the parenthesis. Our linear term is 240. Half of 240 is 120, and 120 squared is 14400:

$A(x)=-.5(x^2-240x+14400)+7200$ (The 7200 comes from multiplying the 14400 times the -.5; -.5 times 14400 is -7200 so to balance things out, we have to add 7200).

The perfect square binomial that results from this is

A(x) = -.5(x - 120)² + 7200. From this we determine that our vertex is

(120, 7200). The 120 is the value of x, the length we are asked to find in b; the 7200 is the max area we are asked to find in c.

6 0

3 years ago

14. 2057 Q.No. 1(a) Sum to infinity:<br>1 + 3x + 5x2 + 7x3 +... (-1<x<1).

aleksandrvk [35]

The sum appears to be

$\displaystyle\sum_{n=0}^\infty(2n+1)x^n$

I'll assume you want to find out what function this sum converges to.

Let

$f(x)=\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

with -1 < <em>x</em> < 1. Differentiating gives

$f'(x)=\dfrac1{(1-x)^2}=\displaystyle\sum_{n=0}^\infty nx^{n-1}=\sum_{n=1}^\infty nx^{n-1}=\sum_{n=0}^\infty(n+1)x^n$

So we have

$\displaystyle\sum_{n=0}^\infty(2n+1)x^n=f'(x)+xf'(x)$

$\displaystyle\sum_{n=0}^\infty(2n+1)x^n=\frac{1+x}{(1-x)^2}$

5 0

4 years ago

Pls help!!!!!!!!!!!!!!!!!

abruzzese [7]

The lowercase sides are opposite to the corresponding uppercase letter. So in the first example, a is 15 because its directly opposite to A. So under the “a^2” section, put 15^2. Do the same for the other sides.

Under a^2 + b^2 __ c^2, use Pythagorean theorem to solve for each equation and see if a^2 + b^2 is greater, less than or equal to c^2 (hypotenuse or LARGEST side of the triangle)

4 0

3 years ago

Read 2 more answers

Use the information to answer the following questions.

lyudmila [28]

If a manager at a large company wants to understand whether the employees are feeling. The best way to collect data is: B. survey.

<h3>What is survey?</h3>

Survey can be defined as the data or information collected from group of people so as to draw or reach a conclusion.

Based on the information Survey would be the best method that would be suited to understand whether the employees are feeing overworked or not.

The manager can send an online survey to the employee so as to collect that data that will enables the manager to reach a conclusion.

Therefore the correct option is B.

Learn more about survey here:brainly.com/question/968894

#SPJ1

8 0

2 years ago