Tom is 4 more than twice Andrews age. If Tom and Sara are twins, how old is Andrew?

Which of the following statements uses the additive identity? 9 + 0 = 9 9 · 0 = 0 9 + 1 = 1 + 9 (9)(1) = (1)(9)

m_a_m_a [10]

<h3>Answer: 9+0 = 9</h3>

The additive identity is 0. If you add 0 to any number, then you get the same number as a result. In general, x+0 = x where x is a place holder for any number. For this problem, x = 9 so that's how 9+0 = 9.

4 0

3 years ago

Read 2 more answers

Use the data to create a scatter plot\<br> forks: 2,4,6,8,10,12<br> spoons: 10,6,4,1,0,2

Len [333]

Answer:

The resulting scatter plot is attached below :

To plot the required scatter plot :

We first take forks on the x - axis and the spoons on the y - axis

Now we arrange the given data in the form of x and y coordinates

Hence, the data becomes :

(2, 10)

(4, 6)

(6, 4)

(8, 1)

(10, 0)

(12, 2)

Now, We plot these points on the graph and get the required scatter plot for the given data.

5 0

3 years ago

The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>