Answer:
48°
Step-by-step explanation:
Given the trigonometry equation
sin(52)= cos(5x-2)...1
According to the quadrant:
Sin(θ) = cos(90-θ)
Sin52 = cos(90-52)
Sin52 = cos48... 2
Substituting 2 into 1:
Cos48 = cos(5x-2)
48 = 5x-2
5x = 48+2
5x = 50
x = 10°
The smallest of the angle will be angle 5x-2 = 5(10)-2
= 50-2
= 48°
<span>Simplifying
(5b + -9) + -3(8 + -2b) = 0
Reorder the terms:
(-9 + 5b) + -3(8 + -2b) = 0
Remove parenthesis around (-9 + 5b)
-9 + 5b + -3(8 + -2b) = 0
-9 + 5b + (8 * -3 + -2b * -3) = 0
-9 + 5b + (-24 + 6b) = 0
Reorder the terms:
-9 + -24 + 5b + 6b = 0
Combine like terms: -9 + -24 = -33
-33 + 5b + 6b = 0
Combine like terms: 5b + 6b = 11b
-33 + 11b = 0
Solving
-33 + 11b = 0
Solving for variable 'b'.
Move all terms containing b to the left, all other terms to the right.
Add '33' to each side of the equation.
-33 + 33 + 11b = 0 + 33
Combine like terms: -33 + 33 = 0
0 + 11b = 0 + 33
11b = 0 + 33
Combine like terms: 0 + 33 = 33
11b = 33</span>
Answer:
32/3
Step-by-step explanation:
First you need to understand the slope-intercept form
y = mx +b
m = the slope of the line
b = the y-axis intercept
y and x represent the coordinates of a point on the line
So for the equation that you listed we know that the slope, m , is (3/4). We also know a given point on the line. therefore we also have a y value (1/3) and a x value (4).
So plug in the numbers:
(1/3)=(3/4)*4 + b
So to find the equation of this line we must solve for b
Multiply (3/4) and 4 to get 3
(1/3) = 3 + b
Now subtract 3 from both sides in order to isolate b
-2 2/3 = b or -8/3 = b
Now rewrite the equation with the y-intercept, b.
y = (3/4)x - (8/3)
From the wording I am assuming you are given a list of equations to chose from. It is possible that the some of all of the equations are listed in standard form. In that case, we need to find the equation:
Ax + By = C
To do that we simply take the slope intercept equation and manipulate it algebraically
y = (3/4)x - (8/3) First subtract (3/4)x from both sides
-(3/4)x + y = -(8/3) This is technically standard form but we can clean it up a bit by multiplying both sides of the equation by -4.
So -4 * -(3/4)x = 3x
-4 *y = -4y
-4 *-(8/3) = 32/3
So 3x - 4y = 32/3
I hope this helps
Lol that’s why not I just got to tell
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
