Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>
a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c = 
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>
The perpendicular equation would include a slope that is the opposite reciprocal of the original slope.
Steps:
1. Get x to the other side in the original equation. This making the slope -4 or -4/1.
2. Turn the slope into it’s opposite reciprocal m = 1/4.
3. If you use point-slope form, y - y1 = m( x - x1 ), you can substitute y1 and x1 with the numbers in the point given. But since we previously found the opposite reciprocal, we will replace “m” as well. *By the way, the subtraction of a negative makes a positive. [y + 3 = 1/4( x + 4 )]
4. Solve:
A: Distribute (y + 3 = 1/4x + 1)
B: Subtract 3 from both sides (y = 1/4x -2)
Perpendicular Equation: y = 1/4x - 2
Answer:Second Graph
Step-by-step explanation:
Did it on Edge
Answer:
Step-by-step explanation:
<u>Slope-intercept form is:</u>
<u>Points given:</u>
<u>y-intercept is </u>
- b = 7 as per the first point
<u>And the slope is:</u>
- m = (-2 - 7)/(8 - 0) = -9/8
<u>So the line is:</u>