Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
<h3>
Answer: 70.9%</h3>
Work Shown:
56/79 = 0.70886 approximately
Move the decimal point 2 spots to the right to go from 0.70886 to 70.886%
That rounds to 70.9%
Turn phrases into mathmatical expressions:
"<span>one side(s) twice the length of the shortest side(x)" = 2x
"</span><span>the third side(t) is 30 feet more than the length of the shortest side " = x+30
</span>Shortest side= x
Perimeter= side1+ side 2 + side 3
138ft= x+2x+x+30
138= 4x+30
108=4x
x= 27 feet
Answer:
The shortest side is 27ft. The middle side 2x= 2(27)= 54ft. The longest side being x+30= 27+30= 57ft.
Answer:
there can only be one possibility for a triangle when given the lengths of all the sides but for a quadrilateral the measure of the angles could differ depending on the person building the,. this is because triangles are more stable than quadrilaterals meaning that their side lengths follow a lot more rules than quadrilaterals do, for example the length of the side lengths can indicate whether or not that triangle is an acute, obtuse, or right triangle, and this is also evident by considering that you can use the SSS theorem to indicate two triangles are congruent, but for quadrilaterals you cant do that
Step-by-step explanation:
Answer:
The fraction form of 33% is 1/3
