(5,24)
- The two areas are the same.
- To find the area, we multiply the side lengths. Y=area
Rectangle 1: side lengths 4 and (x+1)
y=4(x+1)= 4x+4
Rectangle 2: side lengths 3 and (2x-2)
y=3(2x-2)= 6x-6
- Since the two areas are same, we can conclude that
4x+4=6x-6
-2x=-10, x=5
- Since x is 5, we can plug it into the equations to find y.
Option 1 with rectangle 1: y=4(5)+4, y=24
Option 2 with rectangle 2: y=6(5)-5, y=24
I graphed the linear equation on desmos.
The value is -3.2. Hope it helps!
Answer:
Step-by-step explanation:
Given;
F(x) = 6x³ + 19x² + 17x + 3
Factor of F(x) = 2x + 3
Using long division method;
3x² + 5x + 1
------------------------------------
2x + 3 √ 6x³ + 19x² + 17x + 3
- (6x³ + 9x²)
----------------------------------------
10x² + 17x + 3
- (10x² + 15x)
-------------------------------
2x + 3
- (2x + 3)
---------------
0
Answer:
5d² - 3d
Step-by-step explanation:
Given
4d² + d² - 2d - d ← collect like terms
= (4 + 1)d² + (- 2 - 1)d
= 5d² + (- 3)d
= 5d² - 3d
Answer:
15.
Step-by-step explanation:
Please consider the complete question.
You have to answer 2 essay questions for an exam. There are 6 essays to choose from. How many different groups of 2 essays could you possibly choose?
We will use combinations formula to solve our given problem.
The number of combination of n terms r terms chosen at a time is given by formula:
Therefore, there are 15 different groups of essays could you possibly choose.