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3 years ago

Determine the vertex of the function f(x) = 2(x-4)^2+5

Mathematics

1 answer:

spayn [35]3 years ago

5 0

Answer:

(4,5)

Step-by-step explanation:

The vertex is written in vertex form.

y = a(x - b)^2 + c

Vertex: (b,c) Notice the sign change on b.

So for your equation, you get (4,5) No sign change on the 5.

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Is 24 the correct LCD to use for subtracting 6 3/4 - 1 2/6 ? Why or why not?

zimovet [89]

Answer:

Step-by-step explanation:

No 24 is not the best number to use for the LCD, although it will work. 12 is much better because it is smaller.

Factor each number into it's primes.

24 =<u> 2*2*2</u>*3

32 = <u>2*2*2</u>*2*2

The highest common factor is 2*2*2 = 8

9/10 - 3/10 = 6/10 The denominator remains the same. The numerators get subtracted.

6/10 = 3/5 Two goes into both numerator and denominator of the answer. Therefore you can divide both 6 an 10 by 2

3 0

2 years ago

Given h (x) = -x-4,solve for x when h (x) =9

Leona [35]

Answer:

–13

Step-by-step explanation:

h(x) = –x –4

h(x) = 9

–x –4 = 9

–x = 9 + 4

–x = 13

x = –13

<em><u>pick me as the brainliest. thx</u></em>

8 0

2 years ago

What is the arc measure of minor arc AB in degrees?

Ratling [72]

Answer:

$m\widehat{AB} =55 \degree$

Step-by-step explanation:

$\because m\angle APC=m\angle DPE$

(Vertical angles)

$\therefore m\widehat {ABC} =m\widehat {DE}$

(Measure of minor arc is equal to the measure of it's corresponding central angle)

$\therefore m\widehat {AB}+m\widehat {BC} = m\widehat {DE}$

$\therefore m\widehat{AB} = m\widehat {DE} - m\widehat {BC} \\ \\ m\widehat{AB} =93 \degree - 38 \degree \\ \\ m\widehat{AB} =55 \degree$

3 0

2 years ago

Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is

Pavel [41]

9514 1404 393

Answer:

a) attached

b) 100 square inches, 1/4 of the total

c) square root of area

d) multiply by 4

Step-by-step explanation:

a) A diagram is attached

b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.

c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.

d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.

4 0

3 years ago

Felix signs up for a cell phone that his parents require him to pay for. His bill is $46.80. What impact will his cell phone hav

kogti [31]

Answe

Step-by-step explanation:

7 0

2 years ago

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