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3 years ago

A parabola y=1/2x^2-4x+21 can you help me find the vertex form of this parabola please and thank you :)

1 answer:

3 0

Ok
First factor out the first 2 terms as follows:-

y = 1/2(x^2 - 8x) + 21

Now complete the square on x^2 - 8x:-

y = 1/2[ (x - 4)^2 - 16] + 21

y = 1/2(x - 4)^2 - 8 + 21

y = 1/2(x - 4)^2 + 13 Answer

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Please help me asap!!!

Advocard [28]

Answer:

g=64.8 meters

Step-by-step explanation:

$\frac{26.1}{24.3}$ = $\frac{69.6}{g}$

69.6×24.3= 26.1×g

1,691.28=26.1g

64.8=g

g=64.8

Hope this helps! :)

Oh, I got the order of the ratios wrong, I'm sorry.

I just corrected it.

6 0

3 years ago

Read 2 more answers

George bought a bag of dog food that was 1/3 pounds. He fed his dog 5 times with this bag of food. How many pounds of food did h

miv72 [106K]

Answer:

$\dfrac{5}{3}\ \text{pounds}$

Step-by-step explanation:

George bought a bag of dog food that was 1/3 pounds.

George fed his dog 5 times with this bag of food.

We need to find how many pounds of food did the dog eat at each feeding. Let it be x.

$x=\dfrac{1}{3}\times 5\\\\x=\dfrac{5}{3}\ \text{pounds}$

So, the dog eat $\dfrac{5}{3}\ \text{pounds}$ of food at each feeding.

3 0

3 years ago

Justin is considering two websites for downloading music.The costs are detailed here.

solniwko [45]

Answer:

Website 1: Y=1.5x+30

Website 2: Y=2x

Step-by-step explanation:

Website 1 has upfront cost of $30.

The cost of download will be $1.5 per download

Total cost will be 1.5X+30

Where in for Website 2, it will be multiplied by $2

so Y=2X

3 0

4 years ago

State the slope and y-intercept of the graph of 9 – x = 2y

tankabanditka [31]

The slope is 2.

hope I helped.

7 0

3 years ago

Find the center and the radius of the circle with the equation .

Simora [160]

We have been given an equation of circle $x^2+2x+y^2-2y-14=0$ . We are asked to find the center and radius of the circle.

First of all, we will write equation of circle is standard form $(x-h)^2+(y-k)^2=r^2$ , where center of circle is at point (h,k) and radius is r.

Let us complete the square for both x and y.

$x^2+2x+y^2-2y-14+14=0+14$

$x^2+2x+y^2-2y=14$

Adding half the square of coefficient of x and y term, we will get:

$(\frac{2}{2})^2=1^2=1$

$(\frac{-2}{2})^2=(-1)^2=1$

$x^2+2x+1+y^2-2y+1=14+1+1$

$(x+1)^2+(y-1)^2=16$

$(x-(-1))^2+(y-1)^2=4^2$

Therefore, the center of the circle is $(-1,1)$ and radius is 4 units.

4 0

3 years ago