Answer:
=12 units
Step-by-step explanation:
When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.
Therefore, the Pythagoras theorem is used to find the hypotenuse.
a² + b² = c²
(6√2)²+(6√2)²=c²
72+72=c²
c²=144
c=√144
=12
The diagonals of the square measure 12 units each.
Answer:
y = x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 9 ← is in slope- intercept form
with slope m = 1
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation of the parallel line
To find c substitute (6, - 7) into the partial equation
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = x - 13 ← equation of parallel line
Answer:

Rounded to the nearest hundredths: 11.69.
Step-by-step explanation:
I would use the Pythagorean theorem for this problem.
The difference between the highest point and the lowest point of AD is 9.8-7.2 = 2.6, so that would be the height of the triangle. The length/base of the triangle would be 11.4.
Now, just solve using Pythagorean's theorem:

Rounded to the nearest hundredths: 11.69.
I hope this helped you.
Hello there.
<span>How to solve -2 = -6 + 4v?</span>
<span><span>−2</span>=<span><span>4v</span>−6</span></span>
<span><span><span>4v</span>−6</span>=<span>−2</span></span>
<span><span><span><span>4v</span>−6</span>+6</span>=<span><span>−2</span>+6</span></span><span><span>4v</span>=4</span>
<span><span><span>4v/</span>4</span>=<span>4/4
</span></span><span>v=1</span>