Y = mx + b
slope(m) = -3/4
(-2,5)...x = -2 and y = 5
now sub and find b, the y int
5 = -3/4(-2) + b
5 = 3/2 + b
5 - 3/2 = b
10/2 - 3/2 = b
7/2 = b
so ur equation is " y = -3/4x + 7/2....or 3x + 4y = 14
now it is just a matter of subbing in ur answer choices to see which ones work.
3x + 4y = 14...subbing in (6,-1)
3(6) + 4(-1) = 14
18 - 4 = 14
14 = 14 (correct).....so (6,-1) is a point on ur line <==
Answer:
Given :
The diagonal of a rectangle is 2 ✓13 cm.
The length and breadth are in the ratio
3:2.
To find :
The Area of the rectangle.
Solution :
Given that
The ratio of the length and breadth of a rectangle = 3:2
Let they be 3X cm and 2X cm
We know that
The diagonal of a rectangle = √(1²+b³)
units
The diagonal of the rectangle
= √[(3X)³+(2X)³] cm
= √(9x³+4x²) cm
=> √(13X²) cm
=> √13 X cm
According to the given problem
The diagonal of the rectangle = 2√13 cm
=> ✓13 X = 2 √13
=> X = 2√13/√13
=> X = 2 cm
If X = 2 cm then 3X=3(2) = 6 cm
If X = 2 cm then 2X = 2(2)=4 cm
Length = 6 cm
Breadth = 4 cm
We know that
Area of a rectangle = length breadth sq.units
Area of the given rectangle = 6 cm x 4 cm
= 24 cm²
Answer:
$11543.63
Step-by-step explanation:
<u>Plug information into A=P(1+r/n)^nt</u>
13000 = P(1+(.04/2))^(2*3)
13000 = P(1.02)^6
<u>Isolate P</u>
13000/(1.02^6) = P
P = $11543.63
Answer:
-5x/125 is the correct answer