Answer:
The length of the rectangle is given as:
(9x + 6)
Step-by-step explanation:
The area of a rectangle is given as:
Length × Width
Area of the rectangle = 45x² − 42x − 48
Width = 5x - 8
We solve for the length of the rectangle by factorising the area of the rectangle
45x² − 42x − 48
45x² - 72x + 30x - 48
(45x² - 72x )+ (30x - 48)
9x(5x - 8) + 6(5x - 8)
(5x - 8)(9x + 6)
Therefore:
Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
According to the image, the line goes through the following points:
So, the slope is:
Thus, the equation is of the form:
We substitute a point and find "b":
Finally, the equation is:
cara de culo
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3. 45, 4. 24
use formula: hypotenuse²= side² + other side ²
3.
x²= 27²+36² calculate the squares then add
x²=2025 square root both sides
x= √2025= 45
4.
25²= x²+7² isolate the vaiable by subtracting 7² from both sides
25²-7² = x² square then subtract
576 =x² square root both sides
24=x