What is the factored form of x²-100?
1 answer:
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Answer:
24) x = 9.2
25) x = 30.8
Step-by-step explanation:
Given
See attachment for triangles
Solving (24)
To solve for x, we make use of cosine formula
i.e.
cos(40) = adjacent ÷ hypotenuse
So, we have:
cos(40) = x ÷ 12
Multiply both sides by 12
12 cos(40) = x
12 * 0.7660 = x
x = 9.2
Solving (25)
To solve for x, we make use of sine formula
i.e.
sin(25) = opposite ÷ hypotenuse
So, we have:
sin(25) = 13 ÷ x
Multiply both sides by
x sin(25) = 13
Divide by sin(25)
x = 13 ÷ sin(25)
Using a calculator
x = 30.8
Answer:
The equation of the function in slope-intercept form is y = 3 x + 5 .
Step-by-step explanation:
Given as :
A line passes through the point ( - 1 , 2 )
i.e ( x , y ) = ( - 1 , 2 )
The slope of the line is 3
The equation of line in slope intercept form
y - = m ( x -
)
Where m is the slope of the line
So, y - 2 = 3 ( x - ( - 1 ) )
Or, y - 2 = 3 ( x + 1 )
Or, y - 2 = 3 x + 3
Or, y = 3 x + 3 + 2
∴ y = 3 x + 5
Hence The equation of the function in slope-intercept form is y = 3 x + 5 . Answer