MATHEMATICS MIDDLE SCHOOL

X^2 + 20x + 28 = 9 find the graphing/vertex form

Answers

Answer 1

Answer:

Answer: $(x+10)^2+119=0$

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : $y=a(x-h)^2+k$ , where (h, k) is the vertex.

The given quadratic equation: $x^2 + 20x + 28 = 9$

Subtract 9 from both sides

$=x^2+20x+19=0$

compare this to $x^2+bx=c$ , and add $((b)/(2))^2$ both sides

b= 20

$x^2+20+100+19=-100$ [(b/2)²=20/2=10]

$\Rightarrow\ x^2+2(x)(10)+10^2+119=0$

$\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab]$

So, the vertex form : $(x+10)^2+119=0$

Related Questions

A truck can travel 14 miles for each gallon of gasoline. The function d(x)=20x represents the distance d(x), in miles, that the truck can travel with x gallons of gasoline. How many miles can the truck travel with 15 gallons of gasoline?

Answers

The truck will travel 210 miles On 15 gallons of gasoline runing 14 miles per gallon of gas

What is 2 and 928 ten-thousandths as a decimal?

Answers

I think this is the correct answer
2+ 928 = 2 + 0.0928 = 2.0928
---------
10000
I hope i helped you :-)

Hey, I really don't get this and would love a little help, please.A triangle has sides with lengths in a ratio of proportions 3:6:8. one of the sides is 24, find the minimum and maximum perimeter of the triangle.

I'm really hoping one ou you all can help me understand.

Thanks for the help,
Huck

Answers

Answer:

51 and 136

Step-by-step explanation:

Since you don't know the side length, put an X in front of it. So the ratio becomes 3x:6x:8x.

Now, take the biggest number, 8 and set it to equal the side length.

8x=24.

x=3.

Now that you know x, multiply all of the values by 3, to get 24+18+9 which equals 51.

Repeat the process but with the smaller value.

3x=24.

x=8.

Multiply all the values by 8, 24+48+64, which equals 136. Therefore, the biggest perimeter is 136, and the smallest perimeter is 51.

Draw a model to represent the ratio 1 to 3.Describe how to use the model to find an equivalent ratio.Can you also explain ratios to me I was absent so a simple but very effective explanation please

Answers

Answer:

Suppose you are in a cinema and there are 12 men and 36 women, then the ratio men to women is 12:36, dividing each term by 12 we get 1:3, which is an equivalent ratio. Other way to get an equivalent ratio is multiplying each term by some constant, for example if we multiply each term in the ratio 1:3 by 4 we get the equivalent ratio: 4:12.

Ratios are used to show the relative sizes of two values, in the example, the relative amount of men and women in some place.

Ratios are basically a number v a number. Like if your in a group of 30 people and 10 of them are boys, your ratio of girls to boys would be 20:10. That's like really really basic ratio and idk how advanced in rations you are but yeah.

What is 84.5% as a decimal

Answers

To convert ANY percent into decimal form ALL we need to do is DIVIDE the percent by 100. So lets do that:-

84.5 ÷ 100 = 0.845

So, 84.5% as decimal is 0.845.

Hope I helped ya!!!!!!!

0.845 because A. I've done this before and B. because if you have a percentage sign you have to add the decimal at the front (i think don't quote me)

Please show steps to:

6(g+3)=-12

Thank you!! <3

Answers

6(g+3)=-12
6g+18=-12
6g=-30
g=-5
distribute the 6 with what's in the parentheses, subtract the 18 from -12 getting -30, divide 6 from -30

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