Answer:
The coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
Step-by-step explanation:
As we know that Translation means how much a point is moved to the left/right and up/down.
As the x-coordinate of the image point K(7, -3) is 7 which is 6 units right to the original point J(1, 4).
Also, the y-coordinate of the image point K(7, -3) is -3 which is 7 units down to the original point J(1, 4)
so it means the translation basically implies that
(x, y) → (x + 6, y - 7)
Hence, the coordinate of the image of L(5, 10) can also be determined by
using the same rule.
(x, y) → (5 + 6, 10 - 7) = (11, 3)
Therefore, the coordinates of mage of L(5, 10) will be: (11, 3)
So, the 4th (last) option is correct.
a.) 12x2 - 23x - 24
b.) 12x2 + 41x + 24
c.) 12x2 - 23x + 24
d.) 12x2 - 41x - 24
which would be the best option?
Answer:
The correct option is c.
Step-by-step explanation:
The given expression is
Using distributive property we get
Again use distributive property.
Combine like terms.
Therefore the correct option is c.
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let d be the number of days.
We have been that each day Katie finds 12 more seashells on beach, so after collecting shells for d days Katie will have 12d shells.
We are also told that Katie already has 34 seashells in her collection, so total number of shells in Katie collection after d days will be:
As Katie wants to collect over 100 seashells, so the total number of shells collected in d days will be greater than 100. We can represent this information in an inequality as:
Therefore, the inequality can be used to find the number of days, d, it will take Katie to collect over 100 seashells.
In order to find out when Katie will have over 100 seashells, we use the equation 34 + 12d > 100. After simplifying, the inequality is d > 5.5. So, it will take Katie over 5.5 days to collect over 100 shells.
The question states that Katie already has 34 seashells and finds 12 more each day. This can be represented by the equation 34 + 12d, where d represents the number of days. In order to find out when Katie will have more than 100 seashells, we need to set this equation greater than 100 and solve for d.
So, 34 + 12d > 100. If we subtract 34 from both sides, we get 12d > 66. Then, divide both sides by 12 to solve for d. d > 66/12. The value of d in this case turns out to be approximately 5.5.
This means it will take Katie slightly over 5.5 days to collect over 100 seashells, given that she can use fractions of days to find seashells.
#SPJ2
2. What is the sum of the three angles inside of a triangle and how do you know?
Answer:
false and sum of the three angles of any triangle is equal to 180 degrees.
Step-by-step explanation: