4 - 9x = -14
4 - 4 - 9x = -14 - 4
9/9x = -18/9
x = -2
Answer:
<h3>B = 48.7° , C = 61.3° , b = 12</h3>
Step-by-step explanation:
In order to find B we must first angle C
To find angle C we use the sine rule
That's

From the question
a = 15
A = 70°
c = 14
So we have



C = 61.288
<h3>C = 61.3° to the nearest tenth</h3>
Since we've found C we can use it to find B.
Angles in a triangle add up to 180°
To find B add A and C and subtract it from 180°
That's
A + B + C = 180
B = 180 - A - C
B = 180 - 70 - 61.3
<h3>B = 48.7° to the nearest tenth</h3>
To find b we can use the sine rule
That's



b = 11.9921
<h3>b = 12.0 to the nearest tenth</h3>
Hope this helps you
Answer:

Step-by-step explanation:
The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.
First, the equation of a line is given as:
Equation = y = mx + b
Where
m is the slope
b is the y-intercept (y-axis cutting point)
We know the slope, so the equation becomes:
y = mx + b
y = -1x + b
y = -x + b
Now the point given is in the form (x,y), so
x = 3
y = -1
We substitute and find b:
y = -x + b
-1 = -3 + b
-1 + 3 = b
b = 2
Final Equation:
y = -x + 2
Answer: 1 dozen cupcakes can be made in 12 cups of flour.
Step-by-step explanation:
Given : The amount of flour a baker has = 

The number of cupcakes he made by using all flour = 
i.e.
cupcakes made in
cups of flour
By unitary method ,
1 cupcake made in
cups of flour.
i.e. 1 cupcake made in
cups of flour.
Then , 12 cupcakes can be made in
cups of flour.
= 27 cups of flour.
Since<em> 1 dozen = 12</em>
Then , 1 dozen cupcakes can be made in 12 cups of flour.
The tangent on the unit circle is y/x
<h3>How to determine the tangent value?</h3>
The point on the unit circle is given as:
Point = (x,y)
By default
(cos(ø), sin(ø)) = (x,y)
This means that:
cos(ø) = x
sin(ø) = y
The tangent of an angle is:
tan(ø) = sin(ø)/cos(ø)
So, we have:
tan(ø) =y/x
Hence, the tangent on the unit circle is y/x
Read more about unit circle at:
brainly.com/question/16364735
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