Answer:
<em>b = 50√c</em>
Step-by-step explanation:
If b varies directly as the square root of c, this is expressed as;
b∝√c
b = k√c
k is the constant of proportionality
Given b = 100 and c = 4
100 = k√4
100 = 2k
k = 100/2
k = 50
Substitute k = 50 into the original expression:
Recall that: b = k√c
b = 50√c
<em>hence equation that can be used to find other combinations of b and c is b = 50√c</em>
Let the number be x.
then the number is (x + 6)
the difference between their squares is 192
(x + 6)² - x² = 192
expanding we get;
x² + 12x + 36 - x² = 192
12x + 36 = 192
12x = 192 - 36
12x = 156
x = 13
the numbers are 13 and 19.
hope this helps, God bless!
Answer:
Step-by-step explanation:
m∠AOC = 180 as it is straight line
m∠AOC = m∠AOB + m∠BOC
m∠AOB + m∠BOC = 180
3x + 124 + 6x + 29 = 180
9x + 153 = 180
9x = 180 - 153
9x = 27
x = 27/9
x = 3
m∠BOC = 6x +29 = 6*3 + 29 = 18 +29 = 47
Answer:
7 and -6
Step-by-step explanation:
Given
Factors: (x - 7) and (x + 6)
Required
Determine the zeros
To do this, we simply equate the factors to 0
<em>So, the zeros are -7 and 6</em>
