Answer:
can u rewrite the questions
Step-by-step explanation:
Answer:
(3, 50) and (14,303)
Step-by-step explanation:
Given the system of equations;
y=23x–19 ....1
x²–y= – 6x–23 ...2
Substitute 1 into 2;
x²–(23x-19)= – 6x–23
x²–23x+19= – 6x–23 .
x²-23x + 6x + 19 + 23 = 0
x² - 17x + 42 = 0
Factorize;
x² - 14x - 3x + 42 = 0
x(x-14)-3(x-14) = 0
(x-3)(x-14) = 0
x = 3 and 14
If x = 3
y = 23(3) - 19
y = 69-19
y = 50
If x = 14
y = 23(14) - 19
y = 322-19
y = 303
Hence the coordinate solutions are (3, 50) and (14,303)
Answer:
Step-by-step explanation:
This is classic right triangle trig. The height of the hill is 78.4 which serves as the side opposite the reference angle of 23 degrees. The side we are looking for is the hypotenuse of that triangle. The trig ratio that relates the side opposite a reference angle to the hypotenuse of the right triangle is the sin ratio. Setting it up using our values:
, where x is the unknown length of the hypotenuse. Solving for x:
Make sure your calculator is in degree mode before entering this in. You will get a length of the hypotenuse as 200.649 feet, so choice A.
Step-by-step explanation:
add all marbles together:
4 (green) + 3 (red) + 3 (yellow) = 10 marbles total
if we pick a yellow marble out of the bag and do not replace it, then we have 2 yellow marbles left.
we need to add marbles again with one yellow marble subtracted.
4 (green) + 3 (red) + 2 (yellow) =
new Total is 9 marbles.
so then we have 2 yellow marbles out of 9 total marbles.
2:9
or 2/9
or .22 (22%)
is the probability
