Answer:
In the comments
Step-by-step explanation:
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
Hi there!
We can find the area of a triangle with the formula:
Filling in this formula gives us the following answers.
Triangle 1
Triangle 2
Triangle 3
Answer:
68 ounces
Step-by-step explanation:
Most drink containers in the United States are usually known as 2 Litres bottle.
Now, let's convert this 2 litres to cubic centimeters.
1 litre is equal to 1000 cm³
So, 2 Litres = 2000 cm³
Since there are 29.6 cm³ per fluid ounce, thus amount of ounces held by the typical cup in america = 2000/29.6 = 67.57 ounces ≈ 68 ounces
Answer:
225 square feet
Step-by-step explanation:
the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.
Hope this helps! :)
