Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
Answer:
35
Step-by-step explanation:
3+4+1=8
120/8=15
3:4:1
45:50:15
50-15=35
please mark as brainliest!!<3
Answer:
Multiply both sides by -2 and reverse the inequality symbol
Step-by-step explanation:
since it is division you want to make it multiplication so that you can get the answer easier
-1/2w<12
it cancels out the -1/2 than just multiply 12 and -2 you get -24
w > -24
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