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OlgaM077 [116]
3 years ago
12

Solve for x. 3x ^2 -4 = 8

Mathematics
2 answers:
LenKa [72]3 years ago
5 0

Answer:

x = ±2

Step-by-step explanation:

3x ^2 -4 = 8

Add 4 to each side

3x ^2 -4+4 = 8+4

3x^2 =12

Divide each side by 3

3x^2 =12

3x^2/3 = 12/3

x^2 = 4

Take the square root of each side

sqrt(x^2) = ±sqrt(4)

x = ±2

hodyreva [135]3 years ago
4 0

Answer:

x = 2

Step-by-step explanation:

3x ^2 -4 = 8

+4

3x^2 = 12

3x^2/3 = 12/3

x^2 = 4

Square root 4 is 2

x = 2

You might be interested in
Calcula en cada caso las restantes razones trigonométricas de un angulo agudo si se conoce que:
olchik [2.2K]
A) cos a = (√22)/5; tan a = (√66)/22
B) sin a = (2√2)/3; tan a = 2√2
C) sin a = (√30)/6; cos a = (√6)/6
D) sin a = 3/5; tan a = 3/4
E) sin a = (5√26)/26; cos a = (√26)/26
F) sin a = 3/5; tan a = 3/4

Explanation
The ratio for sine is opposite/hypotenuse.  This means the side opposite the angle is √3 and the hypotenuse is 5.  Using the Pythagorean theorem to find the adjacent side,
(√3)² + A² = 5²
3+A² = 25
A² = 22
A=√22
This means that cos a = adjacent/hypotenuse = (√22)/5 and tan a = opposite/adjacent = (√3)/(√22) = (√66)/22.
B)  The ratio for cosine is adjacent/hypotenuse; this means the side adjacent to the angle is 1 and the hypotenuse is 3.  Using the Pythagorean theorem to find the side opposite the angle (p),
1² + p² = 3²
1+p² = 9
p² = 8
p=√8 = 2√2
This means that sin a = opposite/hypotenuse = (2√2)/3 and tan a = opposite/adjacent = (2√2)/1 = 2√2.
C) The ratio for tangent is opposite/adjacent; this means that the side opposite the angle is √5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
(√5)²+1² = H²
5+1=H²
6=H²
√6 = H
This means that sin a = opposite/hypotenuse = (√5)/(√6) = (√30)/6 and cos a = adjacent/hypotenuse = 1/(√6) = (√6)/6.
D)  The ratio for cosine is adjacent/hypotenuse; this means that the side adjacent the angle is 4 and the hypotenuse is 5.  Using the Pythagorean theorem to find the side opposite the angle, p:
4²+p²=5²
16+p²=25
p²=9
p=3
This means that sin a = opposite/hypotenuse = 3/5 and tan a = opposite/adjacent = 3/4.
E)  The ratio for tangent is opposite/adjacent;; this means that the side opposite the angle is 5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
5²+1²=H²
25+1=H²
26=H²
√26 = H
This means that sin a = opposite/hypotenuse = 5/(√26) = (5√26)/26 and cos a = adjacent/hypotenuse = 1/(√26) = √26/26.
F) 0.8 = 8/10; The ratio for cosine is adjacent/hypotenuse.  This means that the side adjacent the angle is 8 and the hypotenuse is 10.  Using the Pythagorean theorem to find the side opposite the angle, p:
8²+p² = 10²
64+p² = 100
p² = 36
p=6
This means that sin a = opposite/hypotenuse = 6/10 = 3/5 and tan a = opposite/adjacent = 6/8 = 3/4.
6 0
3 years ago
Read 2 more answers
Help please with this question?
xxMikexx [17]
G(x+1)= \sqrt{(x+1)^2+4} \\ G(x+1)= \sqrt{x^2+2x+1+4} \\  G(x+1)= \sqrt{x^2+2x+5}
7 0
3 years ago
if an orange gets cut in half how much do you have left if you cut in forths how many slices are there​
a_sh-v [17]

Answer:

There are 10 slices left

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What’s the answer need help ?
Zielflug [23.3K]

Answer:

B

Step-by-step explanation:

Just move point D over 6 and down 10

4 0
3 years ago
This is gonna be a 30 0oint question so if you can solve it
USPshnik [31]

Answer:

y = 36

Step-by-step explanation:

Everything in x-column is multiplied by 2, so everything in y-column is divided by 2 as per the inverse function.

=> 72/2

=> 36

5 0
2 years ago
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