What numbers multiply to -140 and add to 68
2 answers:
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Answer:
×
=
Step-by-step explanation:
×
To solve the above, we need to follow the steps below;
4k+2 can be factorize, so that;
4k +2 = 2 (2k + 1)
k² - 4 can also be be expanded, so that;
k² - 4 = (k-2)(k+2)
Lets replace 4k +2 by 2 (2k + 1)
and
k² - 4 by (k-2)(k+2) in the expression given
×
×
(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,
So our expression becomes;
Therefore, ×
=
Answer:
is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by
where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula
substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.
Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function
Thus, is the required equation.
Therefore, the second option is true.
Answer:
A = 10.27cm²
Step-by-step explanation:
Let's represent the width as x,
therefore since the length is 4 more than 3 times the width, it can be represent as 3x + 4, Perimeter = 18.4cm
Perimeter of a rectangle = 2(L + B)
width = 1.3cm
Length = 3x + 4 = 3*1.3 + 4 = 7.9cm
Area of a rectangle = length x width
A = 7.9 * 1.3 = 10.27cm²