Answer:
This is proved with the help of slope.
Step-by-step explanation:
Given Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown. Mr. Johnson will need to put a brace through each diagonal of the table in order to secure the table's stability.
Now, if Johnson use more than one brace then we have to prove that the braces will intersect at a right angle.
From the figure we have to prove the diagonals AC and BD are at right angle. To prove above we have to find the slopes of both diagonals.
As we know, In a coordinate plane, the slopes of perpendicular lines are opposite reciprocals of each other i.e their product is equals to -1.
⇒ AC and BD are perpendicular
⇒ Braces which put through each diagonal intersect at right angle and the table will stable.
Answer:
D
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 )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 6) and (x₂, y₂ ) = (8, 4)
m = 
= - 
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (8, 4), then
4 = - 
+ c ⇒ c = 4 + = 
y = - x + ← equation of line
Answer:
the answer is 60
Step-by-step explanation:
4*5*3=60
Answer is choice C
The expression given is equivalent to -3i
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Explanation:
Using a calculator, a reference sheet, or the unit circle, you'll find that:
cos(270) = 0
sin(270) = -1
So this means
z = 3(cos(270)+i*sin(270))
z = 3(0+i*(-1))
z = 3*0+3*i*(-1)
z = 0-3i
z = -3i
which is in a+bi form where a = 0 and b = -3
Answer:
yes . because the given number satisfy the equation a2+b2=c2
Step-by-step explanation:
