Bracelet cost = b
Necklace cost = n
15b + 8n = 500
19b + 24n = 980
Elimination method x -3
-45b - 24n = -1500
19b + 24n = 980
-26b = -520
b = $20 bracelets
Plug back in
19(20) + 24n = 980
380 + 24n = 980
24n = 600
n = $25 necklaces
Check:
15(20)+ 8(25)= 500
300 + 200 = 500
500 = 500 :)
A' will be (-2,5). B' will be (-1,9). C' will be (0,6).
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
Answer:
YES, he would be able to form a triangle with these tree sticks
Step-by-step explanation:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side. And this MUST be true with all combinations
10+12 is greater than 15
10+15 is greater than 12
15 +12 is greater than 10
Sine = opposite / hypotenuse
If we think of the hypotenuse =1, then sine(C) = x / 1 or just "x"
The sine (A) = adjacent / hypotenuse = y / 1 or just "y"
