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Mama L [17]
3 years ago
6

Hey I need help with this question: 6(x-3)^2-26 = 10

Mathematics
1 answer:
ra1l [238]3 years ago
7 0

Answer:

x = 3 ±sqrt(6)

Step-by-step explanation:

6(x-3)^2-26 = 10

Add 26 to each side

6(x-3)^2-26+26 = 10+26

6(x-3)^2 = 36

Divide by 6

6/6(x-3)^2 = 36/6

(x-3)^2 = 6

Take the square root of each side

sqrt((x-3)^2) = ±sqrt(6)

x-3 =  ±sqrt(6)

Add 3 to each side

x-3+3 =3 ±sqrt(6)

x = 3 ±sqrt(6)

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Use the given graph to determine the limit, if it exists.
Delvig [45]
Good evening.


We want:

\displaystyle\lim_{x\to 3^+}f(x)

The function is <em>not continuous</em> in 3, and f(3) = 7, but, as we approach to 3 from right, we are always in f(x) = 3.

 We can approach to indefinitely close to x = 3 from right, and the function will be always in 3. Therefore, we conclude that:

\boxed{\displaystyle\lim_{x\to3^+}f(x) = 3}
5 0
3 years ago
The legs of a right triangle measure 3x and 15. If the hypotenuse measures 3x + 3, what is the value of x?
Ivan
The answer is <span>b.12
</span>
According to the Pythagorean theorem the square of the hypotenuse (c) is the sum of the squares of the legs (a and b):
 c² = a² + b²

We have:
a = 3x
b = 15
c = 3x + 3

Now, let's replace these parameters:
c² = a² + b²
(3x + 3)² = (3x)² + 15²
(3x)² + 2 * 3x * 3 + 3² = 9x² + 225
9x² + 18x + 9 = 9x² + 225

Rearrange:
9x² - 9x² + 18x = 225 - 9
18x = 216
x = 216 / 18 = 12
4 0
3 years ago
HELP PLEASEEEEEE<br><br> simplify cos^2 θ(1+tan^2 θ)
expeople1 [14]

Answer:

1

Step-by-step explanation:

cos²Ф(1 + tan²Ф)         Simplify 1 + tan²Ф

cos²Ф(1/cos²Ф)           Multiply

1

If this answer is correct, please make me Brainliest!

7 0
3 years ago
HELP ASAP.
Anvisha [2.4K]

Answer:

Element A: 5

Element B: 3

Element C: 0

Step-by-step explanation:

Magnitude of -3 = 3.

Remove (-) to find magnitude.

Positive and zero value have same value for magnitude.

7 0
4 years ago
What is 4/7 x 4/7? I’m just a middle schooler whose confused :(
baherus [9]

Answer:

16/49

Step-by-step explanation:

you have a numerator of four

4 times 4 = 16

and a denominator of 7

7 times 7 = 49

16/49

6 0
3 years ago
Read 2 more answers
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