All categories

3 years ago

Which of the following equations is of a parabola with a vertex at (0, -5)?

1 answer:

8 0

$\bf ~~~~~~\textit{parabola vertex form} \\\\ y=a(x- h)^2+ k \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] ~\dotfill\\\\ y=(x-5)^2\implies y=(x-\stackrel{h}{5})^2+\stackrel{k}{0}~~\checkmark \\\\\\ y=(x+5)^2\implies y=[x-(-5)]^2\implies y=[x-(-\stackrel{h}{5})]^2+\stackrel{k}{0}~~\checkmark$

You might be interested in

Find the values of x and y.

Harrizon [31]

4x+5x = 90
9x = 90
x = 10

10y + 10 + 5x = 180
10y + 10 +5(10) = 180
10y + 60 = 180
10y = 120
y = 12

answer
<span>d) x = 10, y = 12</span>

5 0

3 years ago

Read 2 more answers

Plz answer all these questions for me I really need help

Ber [7]

A is 400

E I don't know soory

4 0

3 years ago

What is the ratio of the sector area to the area of the

grin007 [14]

Answer: 1/5

Step-by-step explanation: l

5 0

3 years ago

A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full

german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius = 4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = $\frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'$

Here we have r/h is constant always

Hence $\frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2$

Substitute to get volume of water pumped out = $\frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}$

Mass of water = density x volume = $62.4(\frac{140\pi}{3})\\= 2912\pi lbs$

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0

3 years ago

Write the equation for a circle with a center at (5,-2) and a radius of 4.

choli [55]

Answer:

$(x-5)^2+(y+2)^2=4^2$

Step-by-step explanation:

The equation of a circle is: $( x - h )^2 + ( y - k )^2 = r^2$ where ( h, k ) is the center and r is the radius. Therefore, the equation in this instance is $(x-5)^2+(y+2)^2=4^2$ .

8 0

2 years ago