Answer: 48(y*z)^2 - 6z*y^2 - 6y*z^2
Step-by-step explanation: We want to find the product:
3y*2z*(2y*2z + 4yz - y - z)
First, distribute the product:
3y*2z*2y*2z + 3y*2z*4yz -*3y*2z*y - 3y*2z*z
now, let's simplify the equation:
(3*2*2*2)(y*z)^2 + (3*2*4)(y*z)^2 - (3*2)z*y^2 - (3*2)y*z^2
24(y*z)^2 + 24(y*z)^2 - 6z*y^2 - 6y*z^2
48(y*z)^2 - 6z*y^2 - 6y*z^2
If the equation you want to distribute is:
(3y^2z)*(2y^2z + 4yz - y - z)
the distribution is:
(3y^2z)´*(2y^2z) + (3y^2z)*4yz -(3y^2z)*y - (3y^2z)*z
6y^4z + 12y^(2z + 1)*z - 3y^(3z + 1) - (3y^2z)*z
Answer:
Step-by-step explanation:
width of a rectangle=11 cm=11*5=55 ft
length of rectangle =8 cm= 8*5=40
Area=55*40=2220 ft²
height=3 cm=3*5=15
base=11 cm=11*5=55
Area of a triangle=base*height/2=15*55/2= ft^2
2220+412.5=2632.5 ft^2
this number is close to 2615 if the square unit on the grid =1 cm
It is not necessary to use a hundred chart to solve 90 - 80, the strategies are counting up and number bonds.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
To solve 90-80
Now,
Counting up: Starting from 80, count how many numbers you need to add to get to 90. This can be done by counting by ones or by using skip counting, such as counting by tens and then adjusting for the remaining ones. For example, counting by tens would give 80, 90, so the answer is 2.
Using number bonds: Recognize that 90 is a "friendly" number that can be decomposed into 80 and 10. Then, subtract 80 from 80 to get 0, and subtract 10 from 10 to get 0, so the answer is 0 - 0 = 0.
Using mental math: Recognize that 90 - 80 is the same as 9 - 8, which is 1. This can be done by subtracting the ones digits first, and then the tens digits if necessary.
In summary, while a hundred chart can be a useful tool for some math problems, it may not be the most efficient or necessary strategy for solving 90 - 80.
Therefore, by algebra the answer will be counting up and number bonds.
More about the Algebra link is given below.
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The number of possible batting lineups is 720
Explanation
Total number of players in the team = 9
The center fielder must bat fourth, the second baseman must bat third and the pitcher last. That means, 3 slots in the batting line-up are already assigned to 3 players.
So, the remaining (9 - 3) = 6 players will be assigned to remaining 6 slots.
Thus, the possible number of ways so that 6 players can be assigned to 6 slots will be:
Answer:
The minute hand will pass 6 on a clock from midnight to noon each day for 12 times a day.
Step-by-step explanation:
The minute hand will pass 6 on a clock from midnight to noon each day for 12 times a day.
The time being:
1) at 12:30 a.m. it will reach 6 and then after that time it will pass 6.
2) At 1:30 a.m.
3) At 2:30 a.m.
4)At 3:30 a.m.
5) At 4:30 a.m.
6) At 5:30 a.m.
7) At 6:30 a.m.
8) At 7:30 a.m.
9) At 8:30 a.m.
10) At 9:30 a.m.
11) At 10:30 a.m.
12) At 11:30 a.m.
From midnight to noon, there are 12 hours. Then the minute hand will cross 12 times the number six.
It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
From midnight to noon each day.
The number of passes 6 from midnight to noon will be.
We know that from midnight to noon, there are 12 hours. Then the minute hand will cross 12 times the number six.
More about the circle link is given below.