The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10
The domain is therefore [0, 10].
The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].
The function is discrete because r and m cannot take every value in the number line.
<h3>a)
</h3><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2>
<h3>Hence, Quotient =
</h3>
<h3>b)
</h3><h3>■Convert the decimals into a fractions</h3>
<h2>
</h2><h3>■Dividing a positive and a negative equals a negative: (+)÷(-)=(-)</h3>
<h2>
</h2><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, Quotient is
</h3>
<h3>c)
</h3><h3>■To divide by a fraction, multiply by the reciprocal of that fraction</h3>
<h2>
</h2><h3>■Multiply the fractions</h3>
<h2>
</h2><h3>Hence, The Quotient is
</h3>
Changed both of them to a fraction
Answer:
m∠C = 66°
Step-by-step explanation:
Given
m∠ A = 33°
m∠ B = 81°
To determine
m∠C = ?
We know that sum of angles of a triangle is 180°.
so using the equation
m∠ A + m∠ B + m∠C = 180°
substituting m∠ A = 33°, and m∠ B = 81° in the equatio
33° + 81°+m∠C= 180°
114° + m∠C = 180°
m∠C = 180° - 114°
m∠C = 66°
Therefore,
Answer:
x = y = 14
z = 70
Step-by-step explanation:
As we can see from the markings, x = y
So we have an isosceles triangle in ABD
the sum of angles in a triangle is 180
52 + x + y = 180
x + y = 180-52
x + y = 28
so since x = y
x = y = 14
To get z, we have that;
52 + z + 14 + 44 = 180
z + 110 = 180
z = 180-110
z = 70
