Ratio: 2:7
2+7 = 9
747 / 9 = 83
83*2 = 166
83 * 7 = 581
166 to 581
Answer:
The Length of <em>JK</em> is 10
Step-by-step explanation:
Because <<em>J </em>is congruent to <<em>L</em> we know that the triangle in question must be isosceles as in an isosceles triangle two angles opposite of each other are equal. (This is also true for equilateral triangles, however, in an equilateral triangle all sides must be congruent, so we can rule equilateral out as <em>LJ </em>is not congruent to <em>KL.) </em>This means that the triangle must be isosceles.
In an isosceles triangle the side opposite each other are congruent, and the angles opposite each other are congruent when split down the line of symmetry.
Therefor, the length of <em>JK </em>must be congruent to the length of <em>KL. </em>In other words if <em>JK </em>= 10, then <em>KL </em>must equal 10 as well.
Answer:
(-5, 0)
(-1, 0)
Step-by-step explanation:
x-intercepts are points where the graph intersects the x-axis (or when y = 0)
Step 1: Write out function
f(x) = x² + 6x + 5
Step 2: Factor
f(x) = (x + 5)(x + 1)
Step 3: Find binomial roots
x + 5 = 0
x = -5
x + 1 = 0
x = -1
Alternatively, you can graph the function and analyze the graph for x-intercepts:
Answer:
Step-by-step explanation:
let's break down 2,000,000 into its multiples,
Multiples of 2,000,000= 2⁷ × 5⁶
Using above values to find different combinations of length(l) and breadth (b) of rectangle and corresponding parameter of rectangle
- l=5, b=400,000 ,parameter= 2(5) + 2(400,000)= 800,010, total length of fence required= parameter+ side with shortest length= 800,015
- l=2 b=1,000,000 parameter= 2,000,004, shortest fence required= 2,000,008
- l=4, b= 500,000 parameter= 1,000,008, shortest fence required= 1,000,012
- From above, we can see a trend that the parameter of rectangle decreases if length and breadth are increased provided that area is constant. So, a rectangle will have shortest parameter if all of its sides are equal.
- length of side of rectangle with shortest possible parameter= 2^3 ×5^3= 1000 and breadth of side of rectangle with shortest possible parameter= 2^4× 5^3=2000
- Shortest possible length of fence= 2(2000)+2(1000)+1000=7000ft
