Answer:
sorry is its complicated
Step-by-step explanation:
Find the components of the definition.
f
(
x
+
h
)
=
x
2
+
2
h
x
+
h
2
−
9
f
(
x
)
=
x
2
−
9
Plug in the components.
f
(
x
+
h
)
−
f
(
x
)
h
=
x
2
+
2
h
x
+
h
2
−
9
−
(
x
2
−
9
)
h
125 > 50 + 4.25*p
subtract 50 from each side
75 =>4.25p
divide by 4.25
p>17.64
He may invite up to 17 people ( if he doesn't have to pay for himself)
He may invite 16 if he has to pay for himself
Answer:
See explanation
Step-by-step explanation:
Since 12 is 3 times greater than 4, you simply need to divide all of the ingredients by 3.
Cactus chunks: 4 1/2 divided by 3 is 3/2 or 1 1/2
Crushed Tumbleweed: 8/3 is just 8/3 or 2 2/3
Cactus Juice: 10/4 or 2 1/2
Lizard eggs: 4
Crumbled Flower Petals: 7/4 or 1 3/4
Water: 10/3 or 3 1/3
Hope this helps!
The answer is: [A]: 45x² + 81x + 36 .
_________________________
Explanation: Use "FOIL" technique: (First, Outer, Inner, and Last Terms);
then, combine the "like terms", to simplify.
__________________________________________
(5x+4)(9x+9) = 45x² + 45x + 36x + 35 = 45x² + 81x + 36 .
(which is answer choice: "A".).
________________________________________________
Answer:
<h2>11.72cm</h2>
Step-by-step explanation:
Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.
Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);
hyp² = opp² + adj²
Let the opposite be the 9cm length
Adjacent will be half of the chord length = 15/2 = 7.5cm
Substituting this values into the formula we will have;
hyp² = 9² + 7.5²
hyp² = 81+56.25
hyp² = 137.25
hyp² = √137.25
hyp = 11.72
<em></em>
<em>Hence the radius of the circle is approximately 11.72 cm long</em>
