The absolute value, or modulus, of a number is its distance from zero, or essentially its magnitude.
The absolute value produces a positive answer.
We have this definition for the absolute value, taking into account its different values for different signs:
Thus, for
, we split the absolute value as such:
and
We solve each case.
and
We check these solutions.
and
Answer:
distance = sqrt( 65 ) ~= 8.06
Step-by-step explanation:
To find the distance between two points, we can use the distance formula.
distance = sqrt( [x2 - x1]^2 + [y2 - y1]^2)
distance = sqrt( [-5 - 2]^2 + [3 - -1]^2)
distance = sqrt( [-7]^2 + [4]^2)
distance = sqrt( 49 + 16 )
distance = sqrt( 65 ) ~= 8.06
Cheers.
Answer:
Width is 3x+7 units
Step-by-step explanation:
In the attached file
Answer:
B
Step-by-step explanation:
I'm too lazy to explain but if you want me to I will
We can use the SSS congruence theorem to prove that the two triangles in the attached figure are congruent. The SSS or side-side-side theorem states that each side in the first triangle must have the same measurement or must be congruent on each of the opposite side of another triangle. In this problem, for the first triangle, we have sides AC, CM, AM while in the second triangle we have sides BC, CM, and BM. By SSS congruent theorem, we have the congruent side as below:
AC = BC
CM = CM
AM = BM
The answer is SSS theorem.
