Answer:

Step-by-step explanation:
The complete question is shown in the attachment.
The length of the rectangle is x + 12. The width of the rectangle is x + 3.
Recall that area of a rectangle is 
In terms of x, the area is 
Recall the distributive property of real numbers: 
We apply this property to get:

We expand again to get:

We now simplify to obtain:

The area of the rectangle is 
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
1) (m² / 9) / (n² / m)
(m² / 9) × (m / n²)
m³ / (9n²)
2) (4 / y) / (2 / (yx))
(4 / y) × (yx / 2)
2x
3) (x² / y) / (1 / y)
(x² / y) × (y / 1)
x²
4) (3 / b) / (9 / a²)
(3 / b) × (a² / 9)
a² / (3b)
5) (x² / 16) / (16 / y²)
(x² / 16) × (y² / 16)
x²y² / 256
Answer: Probability of meeting is 0.67
Step-by-step explanation: Since each person decided to wait for 20minutes thus within an hour a maximum of 40minutes is spent waiting by both parties.Therefore, Probability of meeting will be 40mins/60mins=0.666 approximately 0.67
Answer:
This the answer but it words because i didn't really wanna type all those numbers but just transfer this into numbers and you'll have the simplified version :)
x to the 4 power minus 4x to the third power minus 2x squared plus 12x plus 9
Step-by-step explanation:
The area of triangle DEF is 2137.5 cm²
Solution:
Given data:
Area of ABC = 38 cm²
Scale factor = 7.5
To find the area of DEF:
<em>Area of dilated image = Area of original image × (scale factor)²</em>
Area of DEF = 38 × (7.5)²
= 2137.5 cm²
Area of DEF = 2137.5 cm²
The area of triangle DEF is 2137.5 cm²