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dalvyx [7]
3 years ago
6

What is the relationship between a rotation and a rigid motion?

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
A rotation is a rigid motion
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3. Sophie and Jackie each have a collection of baseball cards, Jackie has 5 more cards than
IRISSAK [1]

Answer:

Sophie has 12.5 cards

Step-by-step explanation:

Let

x -----> number of cards Sophie has

y -----> number of cards Jackie has

we know that

x+y=30 -----> equation A  

y=x+5 -----> equation B

Solve by substitution

Substitute equation B in equation A and solve for x

x+(x+5)=30

2x=30-5

x=12.5 cards

Note I assume the problem was invented without taking into account the result, because the amount of cards should be a whole number

5 0
3 years ago
If y=−3 , then 4+y4y=
Ne4ueva [31]

Answer:

replace the ys with -3 then solve it

3 0
3 years ago
Read 2 more answers
Can someone help me with these questions
Luda [366]
The worksheet pic is not clear
4 0
4 years ago
Read 2 more answers
the average of two numbers is 34. The second number is three times the first number. What are the two numbers?
zvonat [6]
Hey!To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, you plug the value of y in the equation to solve for x.

x = 3*17
x = 51
hope this helps!!
8 0
3 years ago
Read 2 more answers
The price P of a good and the quality Q of a good are linked.
Irina-Kira [14]

the equilibrium point, is when Demand = Supply, namely, when the amount of "Q"uantity demanded by customers is the same as the Quantity supplied by vendors.

That occurs when both of these equations are equal to each other.

let's do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, 12.


\bf \stackrel{\textit{Supply}}{-\cfrac{3}{4}Q+35}~~=~~\stackrel{\textit{Demand}}{\cfrac{2}{3}Q+1}\implies \stackrel{\textit{multiplying by 12}}{12\left( -\cfrac{3}{4}Q+35 \right)=12\left( \cfrac{2}{3}Q+1 \right)} \\\\\\ -9Q+420=8Q+12\implies 408=17Q\implies \cfrac{408}{17}=Q\implies \boxed{24=Q} \\\\\\ \stackrel{\textit{using the found Q in the Demand equation}}{P=\cfrac{2}{3}(24)+1}\implies P=16+1\implies \boxed{P=17} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{Equilibrium}{(24,17)}~\hfill



3 0
3 years ago
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