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vredina [299]
3 years ago
15

What is the vertex of the quadratic function f(x) = (x-8)(x - 2)?

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

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What is one half added to three quarters
Eduardwww [97]
1/2 + 3/4 = 2/4 + 3/4 = 5/4  = 1  1/4 
                 Here I change to the common denominator 4 so I could add them.
8 0
3 years ago
A teacher is four time as old as a student .in 20 years, the student 's age will be half of the teacher 's age. How old are they
notka56 [123]
Let the present age of student be x
Present of teacher will be 4x

After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20

According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10

So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.

Hope This Helps You!
5 0
4 years ago
Help please asap i<br> show step by step !
pychu [463]

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

6 0
3 years ago
)A poster is shown below 3ft and 12 ft
iren2701 [21]
The answer your looking for is 7.5ft by 1.5ft hope this helped have a nice day :)
6 0
3 years ago
Read 2 more answers
What is the value of y?<br><br> 3 <br> 4 <br> 5<br> 6
svet-max [94.6K]

Answer: actually its 4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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