Can somebody help me

NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

$\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)$

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0

1 year ago

Dana has 800 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed are

grin007 [14]

Answer:

Perimeter of rectangle states that total distance around the outside, which can be found by adding together the length of each side.

As per the given statement, Dana has 800 yards of fencing to enclose a rectangular area.

Therefore, perimeter of rectangle = 800 yards.

Perimeter(P) of rectangle is given by :

P = 2(x+y) where x is the length and y is the width of the rectangles respectively.

Then,

2(x+y) = 800

Divide both sides by 2 we get;

x+y =400

or

y = 400 -x .....[1]

We know, the area(A) of rectangle is given by

A = xy .....[2]

Substitute equation [1] into [2] we get;l

A = x(400-x)

using distributive property $a\cdot (b+c) = a\cdot b+ a\cdot c$

$A = 400x -x^2$

or

$A =-x^2+400x$ ......[3]

To maximize the enclosed area.

For a quadratic function in standard form $y =ax^2+bx+c$ , the axis of symmetry is a vertical line given by;

$x = -\frac{b}{2a}$

Then; we have from equation [3]

a = -1 and b = 400

By axis of symmetry;

$x = -\frac{b}{2a}$ = $-\frac{400}{2 \cdot -1} =\frac{400}{2} = 200$

Substitute in equation [1] to solve for y:

y = 400 - 200 = 200

The dimensions of the rectangle that maximize enclosed area are:

x = 200 units and y = 200 units.

Maximum area = $200 \times 200 = 40,000$ square units.

We can say that maximum area of rectangle will always be a square

4 0

2 years ago

Mr.Smith charged Jill $32 for parts and $15 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, ho

Marianna [84]

15 dollars / hour, and he spent 3 hours, so you do 3*15=45 dollars
You then add the 45 to the 32 dollars for parts, so the total would be 77 dollars

6 0

3 years ago

A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The d

Nikolay [14]

Answer:

Option C.

Step-by-step explanation:

The distance of the car from the stop sign, d , in feet, at time t , in seconds, can be found using the equation

$d=1.1t^2$

The average rate of change of a function f(x) on [a,b] is

$m=\dfrac{f(b)-f(a)}{b-a}$

We need to find the average speed of the car, in feet per second, between t=2 and t=5.

At t=2,

$d=1.1(2)^2=4.4$

At t=5,

$d=1.1(5)^2=27.5$

The average speed of the car, in feet per second, between t=2 and t=5 is

$\text{Average speed}=\dfrac{d(5)-d(2)}{5-2}$

$\text{Average speed}=\dfrac{27.5-4.4}{3}$

$\text{Average speed}=\dfrac{23.1}{3}$

$\text{Average speed}=7.7$

The average speed of the car, in feet per second, between t=2 and t=5 is 7.7 feet per second.

Therefore, the correct option is C.

5 0

3 years ago

Cody sold half of his comic books and then bought seventeen more. He now has 41. With how many did he begin?

abruzzese [7]

Answer:

He begun with 48.

Step-by-step explanation:

48/2 = 24

24+17 = 41

5 0

2 years ago

Read 2 more answers