Find the solution to the following equation by transforming it into a perfect square trinomial.

The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba

Andru [333]

Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.

remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2

we said all side lengths are x so we can put x in for a and b and get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

that is the basic fundamental answer that will always work when working with diagonals of squares.

so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft

7 0

3 years ago

Marjorie is designing a poster for an upcoming project. The poster consists of a rectangle connected to a semi-circle. The lengt

NeX [460]

Answer:

2.14

Step-by-step explanation:

5 0

3 years ago

O.9c + 1.89r = 17.01 c=18.9 - 2.1r equation answer

ikadub [295]

Answer:

$c=18.90-2.1r$

Step-by-step explanation:

<u><em>The complete question is</em></u>

A chef bought $17.01 worth of ribs and chicken. Ribs cost 1.89 per pound and chicken costs 0.90 per pound. The equation 0.90 +1.89r = 17.01 represents the relationship between the quantities in this situation.

Show that each of the following equations is equivalent to 0.9c + 1.89r = 17.01.

Then, explain when it might be helpful to write the equation in these forms.

a. c=18.9-2.1r. b. r= -10÷2c+9

we have that

The linear equation in standard form is

$0.90c+1.89r=17.01$

where

c is the pounds of chicken

r is the pounds of ribs

step 1

Solve the equation for c

That means ----> isolate the variable c

Subtract 1.89r both sides

$0.90c=17.01-1.89r$

Divide by 0.90 both sides

$c=(17.01-1.89r)/0.90$

Simplify

$c=18.90-2.1r$

step 2

Solve the equation for r

That means ----> isolate the variable r

Subtract 0.90c both sides

$1.89r=17.01-0.90c$

Divide by 1.89 both sides

$r=(17.01-0.90c)/1.89$

Simplify

$r=9-0.48c$

therefore

The equation $c=18.90-2.1r$ is equivalent

The equation is helpful, because if I want to know the number of pounds of chicken, I just need to substitute the number of pounds of ribs in the equation to get the result.

4 0

3 years ago

Describe the vertical line test.

SpyIntel [72]

Answer:

The vertical line test is used to determine whether a graph line is a FUNCTION

when there is a line on a graph and you want to know if it is a function. put a straight line through it, up and down, and if it only passes through ONE POINT then it is a function if it touches the graph more than once than it is not.i

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the slope of the line passing through the points (-2,-7) and (3,5).

Oduvanchick [21]

Answer:

12/5

Step-by-step explanation:

m= slope

m=Y2-Y1/X2-X1

Y2=5, Y1=-7, X2=3, X1=-2

Substitute into equation

m=5-(-7)/3-(-2)

m=5+7/3+2

m=12/5

slope is 12/5

5 0

4 years ago