Answer: 12
Step-by-step explanation:
this is a right angled triangle so you use the pythagorean theory
which is a^2 + b^2 = c^2
you have c and b already. c is the hypotenuse.
a^2 + 16^2 = 20^2
a^2 + 256 = 400
a^2 = 400 - 256
a^2 = 144
then you square root 144 and get..
a = 12
What are you confused by?
A. (-3,5)(0,7)
slope = (7 - 5) / (0 - (-3) = 2/3
y = mx + b
slope = 2/3
(0,7)...x = 0 and y = 7
sub and find b, the y int
7 = 2/3(0) + b
7 = b....this is ur y int (0,7)
so ur equation for this line is : y = 2/3x + 7
b. (6,2)(9,4)
slope = (4 - 2) / (9 - 6) = 2/3
y = mx + b
slope(m) = 2/3
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 2/3(6) + b
2 = 4 + b
2 - 4 = b
-2 = b...this is ur y int (0,-2)
so this equation is : y = 2/3x - 2
so " a " has a slope of 2/3 and a y int of 7 and " b " has a slope of 2/3 and a y int of -2.
ur lines are parallel lines.....parallel lines will have the same slope and different y intercepts <===
She earned $1800 in commission
What you have to do is subtract $225 from $2025.
2025 - 225 = 1800
To check your work add 225 to 1800.
1800 + 225 = 2025
Hope this helps! (and sorry if it’s wrong)
Answer:
x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)
Step-by-step explanation:
Given quadratic equation:
16x² - 20x - 6 = 0
Quadratic formula is given by:
x = -b² ± √b² - 4(a)(c) / 2a
16x² - 20x - 6 = 0
From the equation,
a = 16
b = -20
c = -6
x = -b² ± √b² - 4(a)(c) / 2a
x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)
x = -(400) ± √(400) - (-384) / 32
x = -400 ± √400 + 384 / 32
x = -400 ± √784 / 32
x = -400 ± 28 / 32
x = (-400 + 28) / 32 or x = (-400 - 28) / 32