One integer = x
Second integer is x-5
(X)(x-5)=24
X^2-5x-24=0
(X-8)(x+3)
X-8=0. X+3=0
X=8. X=-3
The answer is 8
Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
9.375 is the correct answer to this question
Answer:
y = -4/3x -2
Step-by-step explanation:
Slope intercept for is y = mx+b where m is the slope and b is the y intercept
4x+3y=-6
We need to solve for y
Subtract 4x from each side
4x-4x+3y=-4x-6
3y = -4x-6
Divide each side by 3
3y/3 = -4x/3 -6/3
y = -4/3x -2
The slope is 4/3 and the y intercept is -2