Roco draws two shapes. one of his shapes is 4 times longer and 4 times wider than the other. he found that the perimeter of the
1 answer:
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a) The equation of line k is:
b) The equation of line j is:
The equation of a line, in <u>slope-intercept formula</u>, is given by:
In which:
- m is the slope, which is the rate of change.
- b is the y-intercept, which is the value of y when x = 0.
Item a:
- Line k intersects line m with an angle of 109º, thus:
In which and
are the slopes of <u>k and m.</u>
- Line k goes through points (-3,-1) and (5,2), thus, it's slope is:
- The tangent of 109 degrees is
- Thus, the slope of line m is found solving the following equation:
Thus:
It goes through point (-2,6), that is, when , and this is used to find b.
Thus. the equation of line k, in slope-intercept formula, is:
Item b:
- Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.
Thus, the slope of line j is:
Then
Also goes through point (-2,6), thus:
The equation of line j is:
A similar problem is given at brainly.com/question/16302622
Answer:
x ≥ -1/2
Step-by-step explanation:
We know that we cannot graph imaginary numbers. Therefore, our <em>x </em>value has to be greater than or equal to 0:
To find our domain, we need to set the square root equal to zero:
√(4x + 2) = 0
4x + 2 = 0
4x = -2
x = -1/2
We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2
Alternatively, we can graph the function and analyze domain:
