To solve the problem it is trial and error since we
don’t know how many hotdogs and bottled water was sold. To trim down to
problem, negative values and decimal values are not included because there is
no negative amount and a decimal amount.
The equation is
4x + 2y > 12
At (0,6)
4(0) + 2(6) > 12
12 > 12 so it is wrong
At ( 2,1)
4(2) + 2(1) > 12
10 > 12 correct
At (1, 3)
4(1) + 2(3) > 12
10 > 12 correct
At (2,2)
4(2) + 2(2) > 12
12> 12 wrong
Answer:
18. h = 14.4
19. h = 4.23
20. h = 15.28
21. h = 11.46
All answers are rounded to two decimal places.
Step-by-step explanation:
18. To find the height if you know all 3 sides. Multiply sides a & b, and divide the product by c.
x = (a * b)/c
x = (18 * 24)/30
x = 432/30
x = 72/5
x = 14.4
19. We know that the entire length of the hypotenuse is 27. However, 24 is needed here. That's 8/9 of 27, so 80 degrees is one of the angles. So we need to find the hypotenuse first. That can be done like this: b/sin(β)
24/sin(80)
24/0.98480775
24/1 * 4000000/3939231
8/1 * 4000000/1313077
32000000/1313077
24.3702388
Now to find the first leg, which will be the height of the entire triangle.
x = √c² - b²
x = √24.3702388² - 24²
x = √593.908539 - 576
x = √17.908539
x = 4.23184818
x = 4.23
20. This one requires similar work to #19, but the hypotenuse of the smaller triangle is x.
20/sin(60)
20/0.8660254
20/1 * 5000000/4330127
100000000/4330127
23.0940109
√23.0940109² - 20²
√533.333339 - 400
√133.333339
11.5470056
î The answer above is leg 2 of the smaller triangle.
x = √10² + 133.333339
x = √100 + 133.333339
x = √233.33339
x = 15.2752525
x = 15.28
21. There is no need to figure out what the height is. The entire triangle is 45-45-90.
x = (√18² + 18²) - 15
x = (√324 + 324) - 15
x = (√648) - 15
x = 25.46 - 15
x = 11.46
Answer:
Step-by-step explanation:
3a-2b=14 multiply by 3
9a - 6b = 42 (1)
4a+3b=13 multiply by 2
8a +6b = 26 (2)
sum up (1) and (2)
17a = 68
a =4
b=-1
Answer:
I solve it by substitution
y=x^2+4x
-x^2+9x+(x^2+4x)+13=0
13x+13=0
13x=-13
x= -13/13
x= -1
y=x^2+4x=1-4
y= -3
Step-by-step explanation:
