Answer:
just try to plug in the awnsers you have
Step-by-step explanation:
text me cutie <3
Use the points and do y2-y1 divided by x2-x1
You will get -2 which is the m (slope)
Substitute one of the points into the y and x to get the b (y-intercept)
You will get -6
Put everything into the equation
y=-2x-6
Hint : The product of the slopes of two lines perpendicular to each other is - 1 .
______________________________
In slope-intercept ( y = ax + b ) from of the linear equations the coefficient of x is the slope of the line.
Thus :
Slope of line a = - 14
______________________________
Suppose that the slope of line b is x according to the Hint we have :
- 14 × x = - 1
negatives simplify
14x = 1
Divide both side by 14
14x ÷ 14 = 1 ÷ 14
x = 1/14
So the slope of line b is 1/14
_____________________________
Now let's find the equation of line b by point-slope formula using the point question have us ( 2 , 6 ) :
y - y( given point ) = Slope × ( x - x ( g p ) )
y - 6 = 1/14 × ( x - 2 )
y - 6 = 1/14 x - 2/14
y - 6 = 1/14 x - 1/7
Add both sides 6
y - 6 + 6 = 1/14 x - 1/7 + 6
y = 1/14 x - 1/7 + 42/7
y = 1/14 x + 41/7
And we're done ...
Applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
<h3>How to Apply the Tangent Ratio?</h3>
The tangent ratio is: tan ∅ = opposite side length / adjacent side length of the right triangle.
Given the following:
Reference angle (∅) = 30 degrees.
Opposite side length = 8
Adjacent side length = x = ?
Using the tangent ratio, we have: tan 30 = 8/x
x(tan 30) = 8
Divide both sides by tan 30
x(tan 30)/tan 30 = 8/tan 30
x = 8/tan 30
x = 8/1/√3
x = 8 × √3
x = 8√3
Therefore, applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
Learn more about the tangent ratio on:
brainly.com/question/4326804
#SPJ1
Answer:
see explaination
Step-by-step explanation:
Let x cakes & y losf of bread that Marie decides to make,
Now the constraints are:
3x + 8y <= 20
45x + 30y <= 180 or 3x + 2y <= 12
x >= 0
and y >= 0
THe PTA's revenue function that needs to be maximixed is :
Z(x,y) = 10x + 6y
see attachment
