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NISA [10]
4 years ago
14

Write v = 2x2 + 12x +1 in vertex form.

Mathematics
2 answers:
Savatey [412]4 years ago
6 0

Answer:

C

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)²  + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

y = 2x² + 12x + 1

To express in vertex form use the method of completing the square.

The coefficient of the x² term must be 1 , thus factor out 2 from 2x² + 12x

y = 2(x² + 6x) + 1

add/ subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9) + 1

  = 2(x + 3)² - 18 + 1

  = 2(x + 3)² - 17 → C

rosijanka [135]4 years ago
5 0

Answer:

answer : C    2(x-3)²-17

Step-by-step explanation:

hello :

answer : C    2(x-3)²-17

calculate :   2(x-3)²-17 = 2(x²-6x+9)-17 = 2x²-12x+18-17

                  2(x-3)²-17 = 2x²-12x+1.....(right)

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8 0
3 years ago
If ΔJKL~ΔMKN, find the value of x.
Aleksandr-060686 [28]

Answer:

x = 14

Step-by-step explanation:

Since the triangles are similar, then the ratios of corresponding sides are equal, that is

\frac{KL}{KN} = \frac{JL}{MN} , substitute values

\frac{32}{12} = \frac{3x-2}{x+1} ( cross- multiply )

12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides

36x - 24 = 32x + 32 ( subtract 32x from both sides )

4x - 24 = 32 ( add 24 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

4 0
3 years ago
Four years after a tree was planted, its height was 6 feet. Eight years after it was planted, its height was 8 feet. How tall wi
german

Answer:

It will be 10 feet after 10 years

4 0
3 years ago
Read 2 more answers
A sporting goods store is having a 15% off sale on all items. Which functions can be used to find the sale price of an
Bess [88]

Answer:

y = 0.85x

f(x) = x - 0.15x

All the choices seem to have a missing decimal point.

4 0
3 years ago
¿Cuál es la suma de los ángulos 1 al 6 en este paralelogramo?
Sveta_85 [38]

Answer:

Un paralelogramo es una forma plana con lados opuestos paralelos y de igual longitud.

Step-by-step explanation:

Los ángulos "a" y "b" suman 180 °, por lo que son ángulos suplementarios. NOTA: ¡Los cuadrados, rectángulos y rombos son todos paralelogramos

Espero que esto te ayude :)

4 0
3 years ago
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