$500 = (1)/(3) \pi {12 * 12}^(2)$

Answers

Answer 1

Answer: The solution of your problem is shown on the picture below.

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Find the coordinate of the vertex of the following parabola algebraically. y=2x^2-28x+80

Answers

Answer:

vertex = (7, - 18)

Step-by-step explanation:

given a parabola in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_(vertex)$ = - $(b)/(2a)$

y = 2x² - 28x + 80 is in standard form

with a = 2, b = -28 and c = 80, hence

$x_(vertex)$ = - $(-28)/(4)$ = 7

substitute x = 7 into the equation for corresponding value of y

y = 2(7)² - 28(7) + 80 = 98 - 196 + 80 = - 18

vertex = (7, - 18)

Eleanor and Billie make 752 brownies then give them to their nine friends to share how many will they have leftover what impacted the remainder have on the answer

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752/9=83 r5 your welcome

I agree with awesomepiecat. 752÷9= 83 Remainder 5.

Given EG = 16 and FH = 12, what is the length of one sideof the rhombus?

6 units
8 units
10 units
14 units

Answers

The length of one side of the given rhombus is; C: 10 units

What is the length of the rhombus?

The half diagonals of a rhombus are the legs of a right angle triangle with the hypotenuse being the side of the rhombus.

We see that EG and FH are the diagonals of the rhombus. This means that the half-diagonals measure 8 and 6.

Using Pythagoras theorem, we can find the hypotenuse which is the length of the side of the rhombus.

Thus;

8² + 6² = c²

64 + 36 = c²

100 = c²

c² = 100

c = 10

In conclusion, the length of one side of the rhombus is 10 units

Read more about length of rhombus at; brainly.com/question/26154016

Answer: 10 units

Step-by-step explanation:

Need help please help me

Answers

The solution is the point of intersection between the two equations.

Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.

In the graph the first equation is in blue and the second in red.

The point of intersection = the solution = (-6 , -1)

If you dont have access to a graphing calculator you could draw the graphs by hand;

1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x)

y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)

x | y
-1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
0 | 2 * y = 0.5 (0) + 2 = 2
1 | 2.5 * y = 0.5 (1) + 2 = 2.5
2 | 3 * y = 0.5 (2) + 2 = 3

y = x + 5

x | y
-1 | 4 * y = (-1) + 5 = 4
0 | 5 * y = (0) + 5 = 5
1 | 6 * y = (1) + 5 = 6
2 | 7 * y = (2) + 5 = 7

2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph

3) Using a ruler draw a line connection all the dots of one graph and do the same for the other

4) The point of intersection is the solution

y = mx + b - it's the equation of a straight line. We need only two points to the plotting the graph of that function.

Select any two x values and calculate y values:

$y=(1)/(2)x+2\n\nfor\ x=0\to y=(1)/(2)(0)+2=0+2=0\to(0,\ 2)\n\nfor\ x=-4\to y=(1)/(2)(-4)=-2+2=0\to(-4,\ 0)$

$y=x+5\n\nfor\ x=0\to y=0+5=5\to(0,\ 5)\n\nfor\ x=-5\to y=-5+5=0\to(-5,\ 0)$

Look at the picture.

The solution of the system of equations is the intersection point of the line.

Answer: (-6, -1) → x = -6 and y = -1

What is 10 5/16-(5 1/4 +2 9/16)

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$10(5)/(16)-(5(1)/(4)+2(9)/(16))=\ \ \ \ | make\ common\ denominator\n\n10(5)/(16)-(5(4)/(16)+2(9)/(16))=\ \ \ | omit\ the\ bracket\n\n10(5)/(16)-5(4)/(16)+2(9)/(16)=7(5-4+9)/(16)=7(10)/(16)\n\nSolution\ is\ 7(10)/(16).$