Cos Y = 8/17
sin Y = 15/17
tan Y = 15/8
Answer:
x=9
Step-by-step explanation:
distribute: 3x-6+7=2x+10
add like terms: 3x+1=2x+10
add the x's and the integers: x=9
Answer:
y = 1/2x-1/2
Step-by-step explanation:
y = mx+b is the slope intercept form of a line
where m is the slope and b is the y intercept
y = 1/2x +b
We can substitute the point (3,1) in for x and y
1 = 1/2(3) +b
2/2 = 3/2 +b
2/2 -3/2 = b
-1/2 =b
y = 1/2x-1/2
Answer:
The equation has two solutions for x:
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
Step-by-step explanation:
Let's use the quadratic formula for solving for x in the equation:
X^2 - 8X + 41= 0
x² - 8x + 41 = 0
Let's recall that the quadratic formula is:
x = -b +/- (√b² - 4ac)/2a
Replacing with the real values, we have:
x = 8 +/- (√-8² - 4 * 1 * 41)/2 * 1
x = 8 +/- (√64 - 164)/2
x = 8 +/- (√-100)/2
x = 8 +/- (√-1 *100)/2
Let's recall that √-1 = i
x = 8 +/- 10i/2
<u>x₁ = (8 + 10i)/2</u>
<u>x₂ = (8 - 10i)/2</u>
