To solve this you would use the pythagorean theorem since the brace is making the frame look like two right triangles. The theorem states that for a triangle with a right angle, A^2+B^2=C^2. A and B are the sides of the frame and C is the brace which is like the hypotenuse of the triangle. It doesn't matter which side is A or B so you can put 6 or 8 in place of either in the equation. 6^2+8^2=C^2. If you simplify this it equals 36+64=C^2, which then simplifies to 100=C^2. Then you take the square root of both sides (what number multiplied by itself = the number you are trying to get, in this case, 100). So then you get C=10 because 10x10=100. So the length of the diagonal brace is 10ft.
-- Kenny's weight is 6/7 of Melvin's weight.
-- Melvin's weight is 7/7 of Melvin's weight.
-- The ratio of Kenny's weight to Melvin's weight is (6/7) / (7/7) = 6/7 .
Answer:
<h2>X = 0</h2><h2>Y = 1</h2>
First of all, observe that this is a line, since you can rewrite the equation as y−x+1=0 , which follows the pattern of the generic line ax+by+c=0 .
To draw a line you need two of its points, which you can connect.
To find two points, you can plug any value for one variable, and solve for the other.
For example, let's choose
x=0 . The equation becomes
0−1=y , and so y=−1 .
The first point is thus (0,−1).
Then, let's choose
x=1 . The equation becomes 1−1=y , and so y=0 . The first point is thus
(1,0).
Now you only need to draw the points
(0,−1)
Step-by-step explanation:
Hope it is helpful...
Answer:
Statement 4 is incorrect.
Step-by-step explanation:
#4 is incorrect. This statement is assuming that both 3x+5 and 4x are equal, but the correct way to use them and achieve 180 (definition of supplementary) degrees is by writing it as: 3x+5 + 4x = 180. (I spaced the 3x+5 and 4x to make it clear that these are two angles added together.) With this equation, you will be able to find the x and the substitute it back in to complete the equation.
Start with the given equation:
Substitute known values:
Evaluate:
Similarly:
