MATHEMATICS MIDDLE SCHOOL

What is the y-value of the vertex of the function f(x)=-(x-3)(x+11)?
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Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

The given function is $f(x)=-(x-3)(x+11)$ .

We expand to get:

$f(x)=-x^2-8x+33$

We complete the square to obtain the vertex form as follows:

$f(x)=-(x^2+8x)+33$

$f(x)=-(x^2+8x+16)--16+33$

$f(x)=-(x^2+8x+16)+16+33$

$f(x)=-(x+4)^2+49$

This function is now of the form:

$f(x)=a(x-h)+k$ , where (h,k)=(-4,49) is the vertex.

The y-value of the vertex is therefore 49

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A telephone pole casts a shadow 30 feetlong while a nearby fence post 4 feet
high casts a shadow 3 feet long. How
high is the pole?

Answers

Answer:

The height of the pole is 40 feet.

Step-by-step explanation:

Answer:

Step-by-step explanation:

37.5 feet

Add to ﬁnd the sum 2/10 + 3/100 =

Answers

Hey There!

First, find the lcd, which is 100, multiply the numerator and denominator to 100.

$(20)/(100)$ + $(3)/(100)$ = $(23)/(100)$

Have A Brainly Day!

The answer will be 0.23 as a fraction will be 23/100

The sides of a rectangular field are 80m and 18m respectively. find the length of the diagnol

Answers

ppythagorean theorem a^2+b^2=c^2 a and b are legs, c is hpypotnuse a and b are sides of the filed c=diagonal 80^2+18^2=c^2 6400+324=c^2 6724=c^2 82=c the diagona is 82m

Find the values of x and y in the diagram and show work please it's for geometry class

Answers

Answer:

x = 10

y = 70

Step-by-step explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

and 2x + y = 90

By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

Then it will simplify to x = 10

After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70

45 - k = 27; 17, 18, 19

Answers

The answer would be 18 because you would subtract 45 from 27.

45 - k = 27

45 - 27 = k
45 - 27 = 18

Answer: k = 18

Explain how you would find 36 x 3/4 mentally

Answers

Ok so first what you need to do is think about the question because this is a very simple question to understand and as they say nothing in this world is easy so you have to think about it and once you think about it and understand what they are asking you then you could solve and its very simple. 1st you have to follow order of operations which PEMDAS and I think you should be familiar using this strategy because I am very accoustomed to it and you should be as well, anyway, first do multiplication because in PEMDAS the m comes before the d which stands for division. So do 36x3 which is 108 and now we could do the final step which is to divide our product, 108, by 4 and the quotient shall be 27 as our final answer. So hope this helped you out and if it did than awesome and thank you for the question by the way so keep on asking questions!!

Calculating 36 x 3/4 gives you the result of 27.

To find 36 multiplied by 3/4 mentally, you can follow these steps:

1. Simplify the fraction: 3/4 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 1 in this case.

This simplification leaves us with 3/4 as the fraction.

2. Convert the whole number to a fraction:

Since 36 is a whole number, we can rewrite it as a fraction with a denominator of 1. So, 36 can be expressed as 36/1.

3. Multiply the numerators: Multiply the numerators of the fractions together: 36 x 3 = 108.

4. Multiply the denominators: Multiply the denominators of the fractions together: 1 x 4 = 4.

5. Write the result as a fraction: Take the product of the numerators and write it over the product of the denominators: 108/4.

6. Simplify the fraction if possible: Divide both the numerator and the denominator of the fraction by their greatest common divisor, which is 4 in this case. Simplifying the fraction gives us 27/1 or simply 27.

Therefore, mentally calculating 36 x 3/4 gives you the result of 27.

Learn more about fraction here:

brainly.com/question/10354322

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