Answer:
0.132
Step-by-step explanation:
4.4%*3=0.132
Answer:
5^-4
1 / 5^4
Step-by-step explanation:
5^3 / 5^7
We know a^b / a^c = a^(b-c)
5^(3-7)
5^-4
If you are not allowed to have negative exponents
We know a^-b = 1/a^b
1 / 5^4
Answer:
Shorter leg = 2.5 ft.
Longer leg = 6.5 ft.
Step-by-step explanation:
a^2 + b^2 = c^2
Because the hypotenuse = 7 ft, a^2 + b^2 = 49
To represent the two legs, we can use x and x+4.
x^2 + (x+4)^2 = 49
Simplifying this equation using FOIL gives us 2x^2 + 8x - 33 = 0.
Then, using the quadratic formula, we find that x = 2.5.
Thus, the shorter leg is 2.5 ft. and, when 4 is added, the longer leg is 6.5 ft.
Answer:
x = 5/4
y = 7/4
Step-by-step explanation:
The smaller triangle and the larger one are similar, so the sides are proportional.
(x+5)/5 = 10/8
x/5 + 1 = 1/4 + 1 . . . . . divide it out
x/5 = 1/4 . . . . . . . . . . .subtract 1
x = 5/4 . . . . . . . . . . . . multiply by 5
___
For y, you can do exactly the same computations, replacing every instance of 5 with a 7. Then you get ...
y = 7/4
Answer:
Slope = 
4x + 3y = 23
Step-by-step explanation:
slope = 
The equation:
m is the slope

y - 5 = -4/3 (x - 2) Multiply both sides by 3
3y -15 = -4 (x - 2)
3y - 15 = -4x + 8
3y + 4x = 8 + 15
3y + 4x = 23
4x + 3y = 23