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stealth61 [152]
3 years ago
10

graph the ordered pairs on the coordinate plane. use the point A(3,2) B(-5,2) C(-1,-4) D(4,3) E(-4,0) F(2,-4)

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0
<h2>Explanation:</h2><h2></h2>

In this exercise we have the following points:

A(3,2) \\ \\ B(-5,2) \\ \\ C(-1,-4) \\ \\  D(4,3) \\ \\  E(-4,0) \\ \\  F(2,-4)

So we need to graph each point on the coordinate plane. Recall that the coordinate plane is formed by two perpendicular axes where the horizontal axis is called x-axis and the vertical axis is called the y-axis. So for each point, the first coordinate is called the x-coordinate and the second one is called the y-coordinate. By knowing this, we should use graphing tool in order to plot them. The graph is shown below.

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A ride on a roller coaster cost 4 tickets while the boat ride onlycost 3 tickets Michael went on the two rides a total of ten ti
laila [671]
One equation that represents this statement above me could be: <span>4r + 3 (10-r) = 37.

</span>How? R = Rollercoaster - B = Boat Rides

r + b = 10 

37 tickets were spent so..

4*r + 3*b = 37

We just multiplied the number of rides on roller coasters and the boats with the price of both.

Now we have to express boat rides from the first equation:

b = 10-r, and express that in the second equation, now we get:

4r + 3(10-r) = 37, which is the answer.


6 0
3 years ago
Find the circumference of the circle and show work
zaharov [31]

        - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}

                  Find the circumference of the circle and show work. [refer to  

                  attachment]

\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}

          Formula for Circumference of a Circle:-

        \dashrightarrow\star\bigstar\boxed{\boxed{C=2\pi r}}}

Where

  • C = circumference
  • π = pi (3.14…)
  • r = radius, which in this case is equal to 8

Substitute the value of r and solve:-

         C=2π(8)

        On simplification,

     

C=16π

On further simplification,

C=50.3

Therefore, we conclude that the circumference of this circle is

\dashrightarrow\star\bigstar\boxed{\boxed{\underline{\bold{C=50.3\:yd}}}}\bigstar\star\dashleftarrow

<h3>Good luck.</h3>

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

7 0
2 years ago
Read 2 more answers
GUYS PLEASE HELP ME OUT
nordsb [41]

Answer:

x = - 4, 0, 3, 4

Step-by-step explanation:

Given

f(x) = - 5x(x² - 16)(x - 3) ← x² - 16 is a difference of squares, thus

f(x) = - 5x(x - 4)(x + 4)(x - 3)

To find the zeros, equate f(x) to zero, that is

- 5x(x - 4)(x + 4)(x - 3) = 0

Equate each factor to zero and solve for x

- 5x = 0 ⇒ x = 0

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

x - 3 = 0 ⇒ x = 3

Thus the zeros are

x = - 4, x = 0, x = 3, x = 4

4 0
3 years ago
Read 2 more answers
Find the length of a rectangle with a diagonal of 10 and a height of 8.
Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0
3 years ago
Counterexample of the square of a number is always greater than the number
Levart [38]
(1)² = 1

1 = 1

if you can use fractions

(1/4)² = 1/16

1/4 > 1/16

 
8 0
4 years ago
Read 2 more answers
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