Let g be the number of grandchildren, and d be the number of dogs. They both have only one head, so the number of heads is

Grandchildren have 2 legs, while dogs have 4. So, the total number of legs is

From the first equation (the one for the heads) we can derive

Substitute this into the second to get

So, there are 9 dogs and (from the first equation

Answer:
The SSS theorem
Step-by-step explanation:
Answer:
2,016.19
Step-by-step explanation:
Answer: See below.
Step-by-step explanation:
Let's go number by number.
Rational pretty much means you can put it into a fraction of whole numbers.
The first number is -81,572.
- This number is <u>rational</u> because it can be put into a fraction (
) that is made up of whole numbers.
The second number is
.
- This number is <u>irrational</u> because it cannot be put into a fraction of whole numbers.
- Keep in mind that most squareroots are irrational. Especially those that don't equal a whole number.
The third number is 5.636336333
- There is a pattern so the number is <u>rational</u>.
- Usually a pattrn means it can be put into a fraction.
The fourth number is
. This equals 4 if you solve it out.
- Since we just get 4, that certainly can be put into a fraction of whole numbers, so this is <u>rational.</u>
Answer:
f(x) = x² - 3x - 10
Step-by-step explanation:
Given zeros x = - 2 and x = 5, then the corresponding factors are
(x + 2) and (x - 5) , so
f(x) = (x + 2)(x - 5) ← expand using FOIL
= X² - 3X - 10