In a standard deck of cards, there are 13 diamond cards and 39 non diamonds. To choose 3 diamonds from 13 cards would be equivalent to 13*12*11 as there are less cards to choose from each time you remove a card. To choose two non diamonds from the other non diamonds cards would be equivalent to 39*38, taking into account the number of cards you remove each time you pick out one card. Hence the total number of ways is 13x12x11x39x38.
Answer:
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent
Step-by-step explanation:
<em>The parallelogram has the following properties:</em>
- <em>Opposite sides are parallel by definition.</em>
- <em>Opposite sides are congruent.</em>
- <em>Opposite angles are congruent.</em>
- <em>Consecutive angles are supplementary.</em>
- <em>The diagonals bisect each other.</em>
A. The figure is a parallelogram because there are two pairs of congruent sides.
- no
B. The figure is a parallelogram because a diagonal is bisected.
- no
C. The figure is not necessarily a parallelogram because the diagonals are not congruent.
-no
D. The figure is not necessarily a parallelogram because only one diagonal is bisected and only one pair of sides is congruent.
-yes
Answer:
g(p)h(p) = = p^4 + 2p^3 - 8p^2 -2p + 4
Step-by-step explanation:
Hello!
We will use the distributive property:
g(p) h(p) = ( p - 2 ) * ( p^3 + 4p^2 - 2 ) = ( p^3 + 4p^2 - 2 ) * ( p - 2 )
The distributive property allow us to multiply the first term <em>(p^3 + 4p^2 - 2) </em>by every member of the second member, that is <em>p </em>and <em>-2.</em>
g(p) h(p) = ( p^3 + 4p^2 - 2 ) * p + ( p^3 + 4p^2 - 2 ) * (-2)
Now we can do the same for the two resulting terms, that is, we can multiply every term in parenthesis<em> ( p^3 + 4p^2 - 2 ) </em>by the term on the rigth:
( p^3 + 4p^2 - 2 ) * p = (p^3)*p + (4p^2)*p - 2*p = p^4 + 4p^3 -2p
( p^3 + 4p^2 - 2 ) * (-2) = (p^3)*(-2) + (4p^2)*(-2)- 2*(-2) = -2p^3 - 8p^2 + 4
And now we can sum both terms and add monomials with the same exponent of t. Look at the underlined terms
g(p) h(p) = p^4 + <em><u>4p^3</u></em><em> </em>-2p - <u>2p^3 </u>- 8p^2 + 4 = p^4 +<em><u>2p^3</u></em> -2p - 8p^2 + 4
= p^4 + 2p^3 - 8p^2 -2p + 4
Answer:
19.1
Step-by-step explanation:
27 is half of 54, so that means that the second triangle is 1/2 the size of the first, meaning all sides need to be divided by 2 in order to get the answers for each side
Car gets 22 miles per gallon
If you drive "m" miles then
(m/22) shows how many gallons of gas you will use.