Answer:
-7 for both of them
Step-by-step explanation:
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:
10,000 possible codes
Step-by-step explanation:
Angle UTV is basically given: it's 138°.
Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have

So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°
Answer:
y-6=4(x+1) or y=4x+10
Step-by-step explanation:
Point: (-1,6)
m=4
Slope-point form is y-y1=m(x-x1)
y1=6
x1=-1
Now, plug it in!
y-6=4(x-(-1)) which is y-6=4(x+1)
Of course, if you want you could always simplify it down to y=4x+10 if you wanted to
Hope this helps!