Answer:
see explanation
Step-by-step explanation:
12
Since the denominators are like, add the numerators leaving the denominator
= 
= 
15
We require the denominators to be like before we can add.
factor x² - 4 as a difference of squares
x² - 4 = (x + 2)(x - 2)
Expressing as
+ 
multiply the numerator/denominator of the first fraction by (x - 2)
= 
+
Expand and simplify the numerators, leaving the denominator
= 
= 
To find the probability, we do 78% to the third power, which is 0.474552 or when rounded 0.475
Answer:
y -6 = 0
Step-by-step explanation:
hello :
Use the point-slope formula.
y - y_1 = m(x - x_1) m=0 x_1= 4 y_1 = -3
an equation for this line is : y -6 = 0(x -4)
y -6 = 0
Answer:
what equation. . .
Step-by-step explanation:
.......
Answer:
The length of the side of the triangle is 10 inches.
Step-by-step explanation:
Let p = perimeter of the equilateral triangle
Let P = perimeter of the square
Let s = length of side of the triangle
Let S = length of side of the square
"The perimeter of an equilateral triangle is 6 inches more than the perimeter of a square"
p = P + 6 Equation 1
"the side of the triangle is 4 inches longer than the side of the square"
s = S + 4 Equation 2
We have 2 equations and 4 unknowns. We need two more equations. We use the definition of perimeter to get the other two equations.
For an equilateral triangle,
p = 3s Equation 3
For a square,
P = 4S Equation 4
Substitute p and P of Equation 1 with equations 3 and 4. Then write equation 2.
3s + 4S = 6
s = S + 4
Now we have a system of 2 equations in 2 unknowns. We can solve for s and S. We can use the substitution method. Solve the second equation for S.
S = 4 - s
Substitute S = 4 - s into equation 3s + 4S = 6.
3s + 4(4 - s) = 6
3s + 16 - 4s = 6
-s = -10
s = 10
Answer: The length of the side of the triangle is 10 inches.
