The main formula is integr U^p du = (1/1+p)U^p+1
let be U=<span>(25 - 16x^2)^-1/2,
</span>1/sqrt(25 - 16x^2) = (25 - 16x^2)^-1/2
du= -1/2)(-32x)(25 - 16x^2)^-1/2dx
integ du/-1/2)(-32x)= integ(25 - 16x^2)^-1/2dx
nteg du/16x)=1/16xu+c=integ(25 - 16x^2)^-1/2dx
finally
integ 1 / sqrt(25 - 16x^2) dx = 1/16xu+c= (1/16x)(<span>(25 - 16x^2)^-1/2) +c
</span>
Answer:
Answer:
y = 13
Explanation:
You want to add the like variables:
(3x - y) = -1
+(-3x +3y) = 27
The x's cancel out:
2y = 26
Divide by 2 on both sides to get the y by itself and solve for y
y = 13
Step-by-step explanation:
M = Undefined (because the line is perfectly vertical)
Answer:
First blank = 4
Second blank = 4
Third blank = 10
Step-by-step explanation:
When you have the x value, just subtract 3 to get the y value, and when you have the y value, add 3 to get the x value.
Hopefully this helps- let me know if you have any questions!
Answer:
see below
Step-by-step explanation: 5 23 8 03
the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.
shorter leg = x
longer leg = x + 9
hypotenuse = 2x - 9
Pythagorean theorem = a² + b² = c²
shorter-leg² + longer-leg² = hypotenuse²
x² + (x+9)² = (2x - 9)² solve for x
x² + (x+9) (x+9) = (2x - 9)(2x - 9)
x² + (x²+18x+81) = (4x² - 36x + 81)
(2x²+18x+81) = (4x² - 36x + 81)
0 = 2x² -54x
0 = x(2x - 54)
0 = x and 0 = 2x -54
54 = 2x
27 = x
shorter leg = 27
longer leg = 36
hypotenuse = 45
divided all the values by 9 and you get a 3, 4, 5 right triangle, so the answer checks correct