In a parallelogram, the diagonals bisect each other.
That being the case,
6x = 72

x = 12

AND

x-5 = y
72 -5 = 67

y=67
x = 72

and the diagonals measure
144 and 134

5 0

2 years ago

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson. Guitar lessons have a one-time fee of $36 plus $8 f

Aleksandr [31]

Given :

The Learning Center charges a one-time fee of $26 plus $10 per piano lesson.

Guitar lessons have a one-time fee of $36 plus $8 for each lesson.

To Find :

After how many lessons will the cost of learning to play piano be the same or more than learning to play guitar.

Solution :

Mathematical expression of piano lesson :

$P_1=26+10x$

Mathematical expression of guitar lesson :

$P_2=36+8y$

( Here, x and y are number of lessons )

Let, after t hours cost of learning to play piano be the same or more than learning to play guitar.

Now, given constraint :

$P_1 \geq P_2\\\\26+10t \geq 36+8t\\\\2t \geq 10\\\\t\geq 5$

Hence, this is the required solution.

6 0

3 years ago

Apply the product rules to determine the sign of each expression.

motikmotik

First half is negative and second is positive

8 0

2 years ago

Draw a number line and show all numbers that …

stira [4]

(x-1)(x+1) = 0
x = 1 or x = -1

Ans : -1 and 1

-5 -4 -3 -2 -1 0 1 2 3 4 5
--|--|--|---|---|--|---|--|--|--|--|--

3 0

3 years ago

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