Answer:
4 remainder .43
Step-by-step explanation:
Answer:
5x +y = 34
Step-by-step explanation:
Since a point and slope are given, it is convenient to start with point-slope form, then rearrange the equation to put it into standard form.
For slope m through point (h, k), the point-slope form of the equation of a line is usually written ...
y -k = m(x -h)
For m=-5 and (h, k) = (6, 4), the equation is ...
y -4 = -5(x -6)
y -4 = -5x +30 . . . . . eliminate parentheses
__
Standard form looks like ...
ax + by = c
where a > 0 and GCD(a, b, c) = 1. Here's how we can get there.
5x +y -4 = 30 . . . . . . add 5x
5x +y = 34 . . . . . . . . . add 4 to get standard form.
Answer:
the square root of 3200
Step-by-step explanation:
I'm not sure if this is right, because the format of the question wasn't clear, but it sounded like we have to find the diagonal distance of the room from one corner to the opposite. If the sides are 40ft long on both sides, we can use the Pythagorean Theorem to solve this:
40^2+40^2=c^2
1600+1600=c^2
3200=c^2
c=sqrt(3200)
or about 56.5
Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
Given:
The figure of two parallel lines MP and QS.
A transversal line KL interests the two parallel lines.

To find:
The
.
Solution:
If a transversal line intersect the two parallel lines, then the corresponding angles are congruent and their measures are equal.
In the given figure
and
corresponding angles. It means their measures are equal.


Therefore,
.