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!!
THE ANSWER IS CHIPOTLE, CHICK-FIL-A, BURGER KING, MCDONALDS… ETC.
(REAL NOT FAKE)
Answer:
12 centimeters
Step-by-step explanation:
First lets separate both wires.
Tia's wire is 408 centimeters long. This is because 1 meter = 100 centimeters. This meter will be cut into 10 equal pieces. To do that, simply divide 408 by 10.
408 / 10 = 48 centimeter long pieces
Marta's wire is 540 centimeters long. This meter will be cut into 9 equal pieces. Like before, we will divide 540 by 9.
540 / 9 = 60 centimeter long pieces
To conclude, one of Marta's wires are 12 centimeters longer than Tia's.
In interval notation the domain would be: (-infinity,-2]U[2,3)U(3,+infinity)
Answer:
sin A = opp / hyp = 0.82
Step-by-step explanation:
The sine function is defined as the ratio of "opposite side" to "hypotenuse."
In the given triangle, sin A = opp / hyp = 10.3 / 12.6 = 0.82 (to the nearest hundredth). That's all you have to do here.
The cosine function is the ratio of "adjacent side" to "hyp." In the given triangle, the side adjacent to angle A has length 7 .2. Thus,
cos A = adj / hyp = 7.2 / 12.6 = 0.57 (to the nearest hundredth).
