Let length of shortest side be x
then length of each congruent sides = x + 1
perimeter of the triangle = x + x+1 +x + 1 = 3x + 2
perimeter of the square = 4(x-2) = 4x - 8
So we have
4x - 8 = 3x + 2
x = 10
the shortest side is 10 units long.
Answer:
34.5 units²
Step-by-step explanation:
There are methods for finding the area of a polygon using arithmetic on the coordinates. Here, it is probably more convenient to cut the figure into two triangles and a trapezoid and figure the areas of those.
A line from (-5, 1) to (1, 1) will create a triangle above that line with base 6 and height 3. Its area will be ...
A = 1/2·b·h = 1/2·6·3 = 9 . . . units²
Similarly, a line from (1, 1) to (1, -2) will create a triangle to the right of that line with base 3 and height 4. Its area will be ...
A = 1/2·b·h = 1/2·3·4 = 6 . . . units²
The remaining trapezoid has top base 6, bottom base 7, and a height of 3. Its area will be ...
A = 1/2·(b1+b2)·h = 1/2·(6 +7)·3 = 39/2 = 19.5 . . . units²
Then the total area of the figure is ...
(9 + 6 + 19.5) units² = 34.5 units²
Answer:
58.5
Step-by-step explanation:
Distance = rate * time
so if it's 4.5 hours:
Distance = 13 mph* 4.5 hours
= 58.5 miles
Answer:
1. Anything to do with the same slope but different a B (Ex. y=1/3x+1 and y=1/3x-8)
2. No solutions
Step-by-step explanation:
1. Because the two lines are <u>parallel</u>, when no intersection between two lines happens, there will need to be a change in the B but the same slope. Remember the formula for an equation is y=mx+b. The m stands for the slope. With parallel lines, slopes are the same. If lines were to never intersect, you would have to change the b to a different number so that both lines could keep going at the same time, but never intersect.
2. Remember, solutions only happen when the two lines intersect. Infinite solutions happen when the lines are the same. One solution happens when two lines only have one point where they intersect. No solutions happen when the two lines don't intersect at all. Based off the graph given, there are no intersections so, there will be no solutions.
Answer: 60% would like another color
Step-by-step explanation:
