All categories

3 years ago

What is the vertex of f(x) = 9(x - 5)2 + 6 ?

Mathematics

1 answer:

damaskus [11]3 years ago

6 0

Answer:

Step-by-step explanation:

The vertex equation of a parabola is y - k = m(x - h)^2. This can be rewritten as y = a(x - h)^2 + k. Comparing this formula with the given f(x) = 9(x - 5)2 + 6, we see immediately that h = 5, k = 6 and a = 9. The vertex is at (h, k): (5, 6).

You might be interested in

Find the length of a segment with endpoints at (1,-2) and (-4,-4)

Paha777 [63]

Call $(1,-2)$ for point A and $(-4, -4)$ for point B

Use the distance formula $AB = d(A, B) = \sqrt{(x_{B} - x_{A})^2 + (y_{B} - y_{A})^2}$

Insert values for $x_{B}$ , $x_{A}$ , $y_{B}$ and $y_{A}$

$AB = \sqrt{(-4 - 1)^2 + (-4 - (-2))^2}\\= \sqrt{(-4 - 1)^2 + (-4 + 2)^2}\\= \sqrt{(-5)^2 + (-2)^2}\\= \sqrt{25 + 4}\\= \sqrt{29}$

6 0

3 years ago

Based on the box-and-whisker plot shown below, match each term with the correct value.

VladimirAG [237]

Answer:

Median: 11

Range: 12

25th percentile: 9

75th percentile: 14

Interquartile range: 5

Step-by-step explanation:

✔️Median = the value that lies at the point where the vertical line divides the box into two = 11

✔️Range = max value - min value = 19 - 7 = 12

✔️25th percentile = Q1 = the value at the beginning of the edge of the rectangular box = 9

✔️75th percentile = Q3 = the value at the end of the edge of the box = 14

✔️ Interquartile range = Q3 - Q1 = 14 - 9 = 5

8 0

3 years ago

14 + 10y ≥ 3(y + 14) A. y ≥ –4 B. y ≥ 4 C. y ≥ 8 D. y ≥ 6

arsen [322]

Answer:

Step-by-step explanation:

Given

14 + 10y ≥ 3( y + 14) ← distribute

14 + 10y ≥ 3y + 42 ( subtract 3y from both sides )

14 + 7y ≥ 42 ( subtract 14 from both sides )

7y ≥ 28 ( divide both sides by 7 )

y ≥ 4 → B

7 0

3 years ago

Triangle DBC is equilateral, AB = AC. Work out the size of angle x. Pls asap

allochka39001 [22]

Answer:

x = 21º

Step-by-step explanation:

∆ ABC is isosceles therefor

Angles B and C are congruent

(180 - 18)/2 = 162/2 = 81º

------------------

∆ BCD is equilateral therefor all angles are 60º

---------------------------

x = = 81 - 60

x = 21º

3 0

3 years ago

Whats the answer for 2x + 1 + 7x ?

lesya692 [45]

Answer:

9x+1

Step-by-step explanation:

combine 2x+7x then add the 1

6 0

3 years ago

Read 2 more answers