Step-by-step explanation:
the slope is always the factor of x.
it is expressed as ratio y/x indicating how many units y changes when x changes a certain amount of units.
parallel means they have the same slope (factor of x).
perpendicular (90 degrees) means x and y trade places upside-down, and the sign is flipped.
so,
10) neither. we have the slopes -2/1 and 1/1.
11) parallel. the slopes -1/2 and -1/2.
12) perpendicular. the slopes 5/1 and -1/5.
16) parallel. special case. all points that have x=4 and x=2. these are 2 vertical lines (parallel to the y-axis also known as x=0).
17) perpendicular. special cases. all points that have y=2 and all points that have x=5. this is one horizontal line and one vertical line, which makes them perpendicular.
Answer:
Blank 1 is Pythagorean Theorem, 2 is sides, 3 is right, 4 is legs, and 5 is the hypotenuse.
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Mistake in the second step.
We must add positive numbers or negative ones.
Here he had add the positive and negative numbers and that is the mistake
Here 5 is positive because -×-=+
In the second step, we must add the positives that are 3 and 5 and subtract from 7.
Hope it will help you.
First, we have to solve the sides of the right triangle by using the Pythagorean theorem: a² + b² = c² where c is the length of the hypotenuse. Then, we can use the legs as length and height of the triangle and find the area by 1/2(base x height).
x² + 60² = 68²
x² + 3600 = 4624
x² = 1024
x = √1024
x = 32 = length of the other side
A = (1/2)(32) (60) = 960 mm²