Answer:
Add all the angles to gether then subtract that from 180 next take 43,51, and the unknown angle add it togther and there is your answer.
Step-by-step explanation:
1935 rounded to the nearest thousand = 2000....because it is closer to 2000 then to 1000.
Answer:
x = 3 renders the same output for both functions
Step-by-step explanation:
From the graph, we see that at the point x = 3 both lines intersect. This means that their y value coincide for that value of x.
We check using the functions' expressions to verify that our answer is correct. Then we evaluate both functions separately at x = 3:
So we conclude that effectively, the input x=3 produces equal output value (-1) for the two given functions.
Answer:
36
Step-by-step explanation:
when solving for two variables, we need to find one variable in terms of the other.
so, we can turn:
x - y = 5
into
x - y = 5
+ y + y
x = y + 5
Then, we can substitute "x" in the given equation with "y + 5"
x² - y² = 30
(y+5)² - y² = 30
(y + 5)(y + 5)
F: y² O: +5y I: +5y L: 25 {foil}
y² + 10y + 25 - y² = 30 {cancel y² - y²}
10y + 25 = 30
-25 -25
10y = 5
÷10 ÷10
y = 0.5
x = y + 5
x = 0.5 + 5
x = 5.5
check:
(5.5)² - (0.5)²
30.25 - 0.25 = 30
30 = 30
(TRUE)
now, we must find the value of:
(5.5 + 0.5)²
= (6)²
= 36
So, the value of (x + y)² is found to be 36
hope this helps!!
Answer:
200000
Step-by-step explanation:
The boat licenses are strings of six elements. Let's count the number of ways of constructing such string with the given conditions.
There are 2 ways of choosing the first character of the string (A or M). The second character can be any digit, so there are 10 possible choices. The third character is also any digit, so it can be chosen in 10 ways. Similarly, the fourth character can be chosen in 10 ways, and the fifth character can be chosen in 10 ways.
By the product rule there are 2×10×10×10×10×10=2×10^5=200000 ways to choose all the characters. Every choice of characters becomes a unique string (boat license) thus the number of avaliable boat licenses is 200000.s
