Answer:
Y = 32.7°
Step-by-step explanation:
We will apply the Cosine law in the given triangle XYZ,
x = 90 ft
y = 55 ft
z = 50 ft
We have to find the measure of angle Y.
y² = x² + z² - 2xzCosY
(55)² = (90)² + (50)² - 2(90)(50)cosY
3025 = 8100 + 2500 - 9000.cosY
9000.cosY = 10600 - 3025
cosY = 
= 0.84167
Y = 
Y = 32.68 ≈ 32.7°
Therefore, measure of angle Y = 32.7°
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: x = 4.5
Step-by-step explanation:
1) Reorder the terms:
3x = -9 + 5x
2) Solving
3x = -9 + 5x
3) Solving for variable 'x'.
4) Move all terms containing x to the left, all other terms to the right.
5) Add '-5x' to each side of the equation.
3x + -5x = -9 + 5x + -5x
6) Combine like terms: 3x + -5x = -2x
-2x = -9 + 5x + -5x
7) Combine like terms: 5x + -5x = 0
-2x = -9 + 0
-2x = -9
8) Divide each side by '-2'.
x = 4.5
9) Simplifying
x = 4.5
Yea yea :8+10 and we paid for the roaches
