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2 years ago

1

Mathematics

2 answers:

HACTEHA [7]2 years ago

5 0

Answer:

(x- 4)(x-4) =0

either,

(x-4 )=0

or, x=+4

Or,

x-4 )=0

or, x=+4

Hence, the answer is c i.e 4

Paha777 [63]2 years ago

3 0

(x-4)(x-4)= 0

x-4= 0 , x-4= 0

x-4+4= 0+4 , x-4+4= 0

x= 4 , x= 4

Answer is x= 4 (C.)

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If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

2 years ago

1. A right triangle is shown below. Use the Pythagorean Theorem to determine the lengths of each side. Phythagorean Theorem: a2

erik [133]

This may not be very pretty.
(2x + 5) * (2x + 5) expanded is (use foil)
F = 4x^2
O = 2x * 5 = 10x
I = 2x + 5 = 10x
L = 25
Total = 4x^2 + 20x + 25

(x + 3)(x + 3) = x^2 + 6x + 9 by the same method

(2x + 7)(2x + 7) = 4x^2 + 28x + 49 Same method.

4x^2 + 20x + 25 + x^2 + 6x + 9 = 4x^2 + 28x + 49
5x^2 + 26x + 34 = 4x^2 + 28x + 49 Collect everything on the left.
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x + 3 will have no meaning.
x - 5 = 0
x = 5

2x + 5 = 2*5 + 5 = 15
x + 3 = 5 + 3 = 8
2x+ 7 = 2*5 +7 = 17

Check
15^2 + 8^2 = 17^2
225 + 64 = ? 289
289 = 289

a = 15 <<<<< answer
b = 8 <<<<< answer
c = 17 <<<<< answer

5 0

3 years ago

Select the correct solution for 12x = 60 (A) X = 1/5 (B) X = 48 (C) X = 5 (D) X = 72

Georgia [21]

The answer is c x= 5

4 0

2 years ago

Help Pls :/.........

Sveta_85 [38]

Answer:

Step-by-step explanation:

m<4= 109*

m<3= 71*

m<1= 71*

3 0

2 years ago

Please help me pleasee

ryzh [129]

Answer:

x = y = 64° , z = 20°

Step-by-step explanation:

x = y = $\frac{180-52}{2}$ = 64 °

m∠ADC = 52° + x

m∠ADC = 52° + 64° = 116°

z = 180° - 116° - 44° = 20 °

7 0

1 year ago