Answer:
x-ints: (2,0) & (4,0)
y-int: (0,-8)
vertex: (3,1) *highest point of the graph
line of symmetry: x = 3 *x-value in the middle of x-ints
a value is -# *if parabola points done it's negative, if it points up it's positive
Answer:
{8 cm, 15 cm, 17 cm}
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagoras Theorem
so

where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{5 cm, 15 cm, 18 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 2) we have
{6 cm, 12 cm, 16 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 3) we have
{5 cm, 13 cm, 15 cm}
substitute in the formula

----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 4) we have
{8 cm, 15 cm, 17 cm}
substitute in the formula

----> is true
therefore
Sean can make a right triangle with this set of lengths
Answer: concentration = 15.58%
Step-by-step explanation:
Given: mass of sugar = 24 g = 24 ml [ ∵ 1 g = 1 ml]
Volume of solution = Quantity of water + quantity of solute
= 130 +24 ml
= 154 ml
Concentration = 

Hence, the concentration =15.58%
Answer: x = 4
Step-by-step explanation:
3x - 11 + 9 = 10
Add 11 to each side
3x + 9 = 21
Subtract 9 from each side
3x = 12
Divide each side by 3
x = 4