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alina1380 [7]
4 years ago
15

Y=x2 +6x-2

Mathematics
1 answer:
alisha [4.7K]4 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a quadratic 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 = x² + 6x - 2

To complete the square

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

y = x² + 2(3)x + 9 - 9 - 2

  = (x + 3)² - 11 ← in vertex form

with (h, k) = (- 3, - 11 )

Turning point = (- 3, - 11 )

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Determine the value of each variable in the figure below. Keep answers in simplest<br> radical form.
Tanzania [10]

Answer:

  a = 21

  b = 63

  c = 42√3

  d = 21√3

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. The given side (42) is the longest side of the smallest triangle, and the shortest side of the largest triangle.

That means the other sides of the smallest triangle will be ...

  a = 42/2 = 21

  a+b = 2(42) = 84

  b = (a+b) -a = 84 -21 = 63

  d = 21√3 . . . . middle-length side of the smallest triangle

  c = 42√3 . . . . middle-length side of the largest triangle

The values of the variables are ...

  • a = 21
  • b = 63
  • c = 42√3
  • d = 21√3

7 0
2 years ago
Solve for x.3(3x - 1) + 2(3 - x) = 0
mote1985 [20]
9x-3+6-2x=0
7x+3=0
X=-3/7
5 0
3 years ago
Read 2 more answers
What are the mean, median, and mode for the following data set?
FrozenT [24]
Order the number:
15,34,71,75,75,78,78,78,82,90,90,94,100
Mode:78
Mean≈74.8
Median:78 is your final answer. Hope it help!
3 0
4 years ago
Read 2 more answers
To get to school you can travel by car, bus or bicycle. If you travel by car, there is a 50% chance you will be late because the
Irina18 [472]

Answer:

a) 16.66%

b) 5%

Step-by-step explanation:

a)

Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.

In this case the probability that you traveled to school that day by car would be

50%  of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%

b)

In this case, the teacher would assume

90% ride on bicycle

0% take the bus

10% travel by car

So, in this case the probability would be

50% of 10% = (0.5)(0.1) = 0.05 = 5%

6 0
3 years ago
Geometry help please
lina2011 [118]
Hello!

The equation to find the volume of a cone is

\pi  r^{2}  \frac{h}{3}

r is radius
h is height

Put in the values we know

3.14 *  9^{2} *  \frac{4}{3}

Square the number

3.14 * 81 *  \frac{4}{3}

multiply 81 by 3.14

254.34 *  \frac{4}{3}

Multiply

339.12

The answer is 339.1 cubic inches

Hope this helps!
7 0
3 years ago
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