<span>y = 12x
Substitute 3 for x
</span><span>y = 12(3)
Multiply
Final Answer: B.) y=36</span>
Answer:
![6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right]](https://tex.z-dn.net/?f=6A%3D8B%3D6%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-4%26-1%26-9%5C%5C-9%266%269%5C%5C-1%26-1%263%5Cend%7Barray%7D%5Cright%5D)
![-8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right]](https://tex.z-dn.net/?f=-8%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-10%26-2%26-5%5C%5C9%26-7%26-1%5C%5C9%26-4%262%5Cend%7Barray%7D%5Cright%5D)
![=\left[\begin{array}{ccc}-24&-6&-54\\-54&36&54\\-6&-6&18\end{array}\right]](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-24%26-6%26-54%5C%5C-54%2636%2654%5C%5C-6%26-6%2618%5Cend%7Barray%7D%5Cright%5D)
![-\left[\begin{array}{ccc}-80&-56&-40\\72&-56&-8\\72&-32&16\end{array}\right]](https://tex.z-dn.net/?f=-%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-80%26-56%26-40%5C%5C72%26-56%26-8%5C%5C72%26-32%2616%5Cend%7Barray%7D%5Cright%5D)
![=\left[\begin{array}{ccc}56&50&-14\\-120&92&62\\-78&26&2\end{array}\right]](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D56%2650%26-14%5C%5C-120%2692%2662%5C%5C-78%2626%262%5Cend%7Barray%7D%5Cright%5D)
<u>---------------------------</u>
<u>hope it helps..</u>
<u>have a great day!!</u>
Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
Answer:
Fred would take 33 days to save $ 70.95.
Step-by-step explanation:
The number of days (
) is directly proportional to the quantity of money saved (
), in monetary units, then we can calculate the time taken to save $ 70.95 by simple rule of three:
Fred would take 33 days to save $ 70.95.
Answer: m
Step-by-step explanation:
if you are talking about a specific point, then it would be m because OA, AB and
<-->
AB
all have other points to them.
AB is when you are trying to explain the distance between AB
m would be used just to figure out where that point on the grid really is
