Answer:
x^3 + 9x^3 -6x -54
Step-by-step explanation:
first step is you're going to simplify the problem.
using the (a-b)(a+b)=a^2-b^2 formula combine the last two grouped numbers to equal (x+9)(x^2-6)
multiply the parenthesis to get x^3 - 6x + 9x^2 -54
reorder the terms and then you get your answer! x^3 + 9x^3 -6x -54
does this make sense? :)
No change in area if sides of rectangle are equal.
Hope this helps.
<u>Answer:</u>
75 ft
<u>Step-by-step explanation:</u>
Here we are given a right angled triangle with a known angle of 20°, length of the hypotenuse to be 80 and we are to find the length of the base x.
For that, we can use the formula for cosine for which we need an angle and the lengths of base and hypotenuse.
So putting in the given values to get:
Therefore, the value of x is the closest to 75 ft.
The equation would be 2x + 5y = 11.
To find this, we first have to find the slope of the line. The slope formula is below.
m (slope) = (y2 - y1)/(x2 - x1)
In which (x1, y1) is the first point and (x2, y2) is the second. So we plug in to solve.
m = (3 - 1)/(-2 -3)
m = 2/-5
Now that we have the slope, we can use it along with a point to get the slope intercept form.
y = mx + b
3 = -2/5(-2) + b
3 = 4/5 + b
11/5 = b
Now that we have the equation of y = -2/5x + 11/5 we can manipulate it into standard form.
y = -2/5x + 11/5 -----> add 2/5x to both sides
2/5x + y = 11/5 ----> multiply both sides by 5
2x + 5y = 11
Answer:
Total students that failed in both subjects would be 10
Step-by-step explanation:
Students that passed English : 70 - 40 = 30
Students that passed Hindi : 80 - 40 = 40
Total students that passed both subjects 110 (40 + 40 + 30)
120 - 110 = 10 students failed in both subjects
The 30 & 40 come from the students that passed each subject above, then the extra 40 comes from the amount of students that passed both.