Answer:
y = -5x/3 + 18
Step-by-step explanation:
The points can be written as;
(x,f(x))
where f(x) is same as y
So the points we have are;
(6,8) and (9,3)
We start by finding the slope or the line connecting the points
m = y2-y1/x2-x1 = (3-8)/(9-6) = -5/3
So now we have the general form of a linear equation as
y = mx + b
where m is slope and b is y intercept
We already have slope and we want to calculate y-intercept
Simply substitute one of the points
(9,3) in this case
9 for x and 3 for y
we have ;
y = -5x/3 + c
3 = -15 + c
c = 18
So the line equation is;
y = -5x/3 + 18
Answer:
<h3> A: One</h3><h3> B: x = 4 </h3>
Step-by-step explanation:
3(2x - 7) = 3
÷3 ÷3
2x - 7 = 1
+7 +7
2x = 8
÷2 ÷2
x = 4
Answer:
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Step-by-step explanation:
sinx can run from -1 to +1
2sinx can run from -2 to +2
2sinx -1 can run from -3 to +1
However, the square root is imaginary when x < 0. So, the condition is
2sinx -1 ≥ 0
2sinx ≥ 1
sinx ≥ ½
x ≥ π/6 (30°)
So, in the interval [0, 2π], π/6 ≤ x ≤ 5π/6
However, the sine is a cyclic function and repeats itself every 2π.
Over all real numbers, the condition is (π/6 +2πn) ≤ x ≤ (5π/6 + 2πn).
The domain is then
{x ∈ ℝ : x ≥ π/6 +2πn and x ≤ π/6 + 2πn and n ∈ ℤ}
Answer: 1766.3
Step-by-step explanation:
A) 44 degrees just look at the degree the line segment lands on in the protractor
