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Ksivusya [100]
3 years ago
10

F(x) = 2(x - 3)^2 - 2

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

Hi. I was unsure of what exactly you wanted from this equation, so here's a quick analysis:

<em>f(x) = 2(x - 3)^2 - 2</em>

<em></em>

Domain: (-∞, ∞)

Range: (-2, ∞)

X-intercepts: (4, 0), (2, 0)

Y-intercept: (0, 16)

Axis of Symmetry: x = 3

Minimum value (vertex): (3, -2)

Standard form: y = 2x^2 - 12x + 16

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What is the length of the diagonal of a square with side lengths 7 square root of 2 ? round to the nearest tenth if necessary?
mr_godi [17]
There is 2 ways to solve this type of question.

Method 1
--------------------------------------------------
Formula
--------------------------------------------------
a² + b² = c²

--------------------------------------------------
Apply the formula
---------------------------------------------------
(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

_____________________________________________________________

Method 2
--------------------------------------------------
Identify the triangle
--------------------------------------------------
This is a special triangle
45° - 45° - 90°

--------------------------------------------------
Property of the Angles 
--------------------------------------------------
x - x - x√2

--------------------------------------------------
Find hypotenuse
--------------------------------------------------
Given that the non-hypotenuse is 7√2

Hypotenuse =  (7√2)(√2)
Hypotenuse =  7 x 2
Hypotenuse = = 14cm

--------------------------------------------------
Ans: The diagonal length is 14cm 
--------------------------------------------------

6 0
3 years ago
What is 1/2 to 1/4 equals
sergey [27]

Do you mean 1/2 of 1/4 if so it’s just timsing the numerator by the numerator and the denominator by the denominator. So, 1 x 1 = 1 and 2 x 4 = 8

Therefore it’s 1/8!

If you didn’t understand I’ll gladly elaborate!

4 0
3 years ago
Owen has $7000 in a savings account and $3000 invested in the stock market, he owns a car worth $12,000, he has $13,000 left to
Vinil7 [7]
Answer=$8400
Add all the assets 7,000+3,000+12,000=$22,000
Add debts 13,000+600=$13,600
Assets - Debts
$22,000-13,600=$8,400
3 0
3 years ago
Read 2 more answers
Given that the diameter of Circle A is 6 cm , and the radius of Circle B is 18 cm , what can be concluded about the two circles?
ELEN [110]

Answer:

The radius of circle B is 6 times greater than the radius of circle A

The area of circle B is 36 times greater than the area of circle A

Step-by-step explanation:

we have

<em>Circle A</em>

D=6\ cm

The radius of circle A is

r=6/2=3\ cm -----> the radius is half the diameter

<em>Circle B</em>

r=18\ cm

Compare the radius of both circles

3\ cm< 18\ cm

18=6(3)

The radius of circle B is six times greater than the radius of circle A

Remember that , if two figures are similar, then the ratio of its areas is equal to the scale factor squared

All circles are similar

In this problem the scale factor is 6

so

6^{2}=36

therefore

The area of circle B is 36 times greater than the area of circle A

8 0
3 years ago
Please help with the steps as well!!
mariarad [96]

To solve this problem, we need to use the Pythagorean Theorem, which states that a^2 + b^2 must equal c^2. "a" is the length of one of the legs (shorter sides of the triangle) and "b" is the length of the other leg. "c" is the length of the hypotenuse.

a = y = 36.25cm

b = x = 20.93cm

a^2 + b^2 = c^2

(36.25)^2 + (20.93)^2 = c^2

1314.0625 + 438.0649 = c^2

√1752.1274 = √c^2

c = 41.8584209 ≈ 41.86

So your final answer is...

The length of the hypotenuse is about 41.86 cm.

4 0
3 years ago
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