Given equation of the parabola y= -5x^2 -10x -13.
We need to apply formla for x-coordinate of the vertex.
x=-b/2a.
For the given equation we have a=-5 and b=-10.
Plugging values of a and b in formula of x-coordinate of the vertex.
x= -(-10)/2(-5)
x= 10/(-10) = -1.
So, we got x-coordinate of the vertex = -1.
Now, we need to plug x=-1 in given equation to find the y-coordinate of the vertex.
Plugging x=-1 in y= -5x^2 -10x -13, equation we get
y=-5(-1)^2-10(-1)-13.
y= -5(1) +10 -13.
y=-5 +10-13.
y=-18+10.
y=-8.
So, we got y-coordinate of the vertex -8.
Therefore, vertex of the parabola is (-1,-8).
Answer:
18
Step-by-step explanation:
add them all up
Answer:
100,000,000
Step-by-step explanation:
10^4 = 10,000
(10,000)^2
= 100,000,000
Answer:
- about 243.9 cm³
- 35828 4/7 cm² = 3 102/175 m²
Step-by-step explanation:
<h3>1.</h3>
The 8-cm diameter sphere has a radius of 4 cm. The volume of it is given by ...
V = 4/3πr³ = 4/3π(4 cm)³ = 256/3π cm³
The 8-cm cube has a volume of ...
V = s³
V = (8 cm)³ = 512 cm³
The volume of the empty space is the difference of these volumes:
space = 512 cm³ -256/3π cm³ = 256(6 -π)/3 cm³
space ≈ 243.9 cm³
__
<h3>2.</h3>
The area of a hemisphere is twice the area of a circle with the same radius. Then the area of the top and bottom of the birdbath will be 2+1 = 3 times the area of a circle with radius 30 cm.
top+bottom area = 3 × πr² = 3 × 22/7(30 cm)² = 8485 5/7 cm²
The lateral area of the cylinder is ...
LA = 2πrh
= 2(22/7)(30 cm)(145 cm) = 27342 6/7 cm²
Then the total surface area of the birdbath is ...
total area = top+bottom area + lateral area
total area = 8485 5/7 cm² +27342 6/7 cm² = 35828 4/7 cm²
= 3 102/175 m²
Answer:
3/8, 1/2, 3/4, 7/8
Step-by-step explanation:
If you turn them into decimals it makes it clearer if not
