Answer:
108 in²
Step-by-step explanation:
Area of a triangle is given as ½*base*height
The base of the given triangle = h + 6
height = h
Algebraic expression for its area = 
Evaluate the area if h is given as 12 inches.
Plug in the value of h into the algebraic expression:
Y = x² + 7x - 4
y = -x - 4
x² + 7x - 4 = -x - 4
+ x + x
x² + 8x - 4 = -4
+ 4 + 4
x² + 8x = 0
x(x) + x(8) = 0
x(x + 8) = 0
x = 0 or x + 8 = 0
- 8 - 8
x = -8
y = -x - 4
y = -0 - 4
y = 0 - 4
y = -4
(x, y) = (0, -4)
or
y = -x - 4
y = -(-8) - 4
y = 8 - 4
y = 4
(x, y) = (-8, 4)
The solutions are (0, -4) and (8, -4).
Answer:
−
3/
x
−
4 <
x
<
4
Step-by-step explanation:
For this problem we can represent the situation as a rectangle triangle.
x: depth of water.
40: Base. "Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot"
x + 8: Hypotenuse. "He notices water lily sticking straight up from the water, whose blossom is 8 cm above the water's surface." Antonio pulls the lily to one side, keeping the stem straight, until the blossom touches the water at a spot".
By the Pythagorean theorem we have:
x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
Clearing x:
x ^ 2 + 1600 = x ^ 2 + 16x + 64
x ^ 2 - x ^ 2 = 16x + 64 - 1600
0 = 16x -1536
1536 = 16x
1536/16 = x
x = 96
answer:
1) x ^ 2 + 40 ^ 2 = (x + 8) ^ 2
2) the depth of the water is
x = 96
Answer:
The correct answer to the following question will be "32 servings".
Step-by-step explanation:
The given values are,
A bag of chips = 24 ounces
Serving size = 3/4 ounces
Servings = ?
Now,
On dividing "24 ounces" by "3/4 ounce", we get
⇒ 
⇒ 
⇒ 
⇒ 
Thus, the bag of chips contains "32" servings.
