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2 years ago

How do i understand Vertices because i forget sometimes?

Mathematics

2 answers:

tiny-mole [99]2 years ago

8 0

Well look at this and the angles it points at are the vertex angles and the vertex angles are the vertices

Burka [1]2 years ago

6 0

the highest point; the top or apex.
"a line drawn from the vertex of the figure to the base"

GEOMETRYeach angular point of a polygon, polyhedron, or other figure.

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-7y + 2 = -75 Step by Step

attashe74 [19]

Answer:

Step-by-step explanation:

2+75= 7y

77 = 7y

77/7 = 7y/7

y = 11

8 0

3 years ago

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You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river

inn [45]

Answer:

The length and width of plot is $L=300\:ft$ , $W=150\:ft$

Largest area of the plot is $A=45000 ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 600 feet and fencing is enclosed on 3 sides. So perimeter is given as,

Perimeter = width + length + width

Substituting the value,

$600=x+y+x$

$600= 2x+y$ ….1

Now area of fence of rectangular box is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$600-2x= y$

Substituting the value in equation 2,

$A=x\left (600-2x \right )$

Simplifying

$A=600x-2x^{2}$

Rewriting,

$A=-2x^{2}+600x$

Above equation looks like quadratic equation $f\left ( x \right )=ax^{2}+bx+c$ whose graph looks like parabola.

Comparing equation f(x) and A values of a, b and c are, $a=-2,b=600$ and $c=0$ .

Now maximum of $f\left ( x \right )$ occurs at vertex.

The x coordinate of the vertex is given as $-\dfrac{b}{2a}$

Substituting the values,

$x=-\dfrac{600}{2\left (-2 \right )}$

Simplifying,

$x=\dfrac{600}{4}$

$x=150$

So width of plot is 150 feet.

Now to calculate value of length by using equation 1,

$600= 2x+y$

Substituting the values,

$600= 2\left (150 \right )+y$

$600= 300+y$

Subtracting 300 from both sides,

$300= y$

So length of plot is 300 ft.

The y coordinate of the vertex is given as $y=f\left ( -\dfrac{b}{2a} \right )$ which also means, $y=f\left ( 150 \right )$

$\therefore A=-2\left (150 \right )^{2}+600\left (150 \right )$

Simplifying,

$\therefore A=-2\left (22500 \right )^{2}+600\left (150 \right )$

$\therefore A=-45000+90000$

$\therefore A=45000$

So, area of the plot will be $A=45000 ft^{2}$

7 0

3 years ago

Solve the system of linear equations by elimination -x+y=4;x+3y=4

mamaluj [8]

Answer:

the solution is (-8, 4)

Step-by-step explanation:

Let's use the addition/subtraction method here to eliminate one variable:

-x+y=4

x+3y=4

Combining these two equations results in

4y = 8, so that y = 2. Substituting y = 2 into the second equation, we get:

x + 3(2) = 4, or x = -2.

Then the solution is (-8, 4)

3 0

2 years ago

Me need help help me plz

Phoenix [80]

Answer:

69.08

Step-by-step explanation:

circumference is 2πr which is 3.14 x 2 x 11

5 0

2 years ago

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Joshua made note of all the bicycles and cars he could see parked or locked on a

Mars2501 [29]

Answer:

Step-by-step explanation:

11*4=44

6*2=12

44+12=56

3 0

2 years ago