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3 years ago

Find the greatest common factor: 3x^4 -15x^8

1 answer:

7 0

<span>Find the greatest common factor: 3x^4 -15x^8

answers:
1)3x
2)3x^2
3)x^4
4)3x^4

</span> $3x^4 -15x^8= 3x^4( 1-5x^4) \\ \\ \\ \boxed{3x^4\to 4) }$ <span>
</span>

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Please help and make it correct..

Olenka [21]

Answer:

A) x=46

Step-by-step explanation:

The triangles are congruent, which means the angles are congruent as well. Therefore, we can set angles ADC and ABC equal to each other to solve for x:

100=2x+8

92=2x

46=x

Therefore, A is correct

4 0

3 years ago

IgorC [24]

Answer:

g(x) is shifted 4 units left and 6 units down from f(x).

Step-by-step explanation:

The parent function is:

f(x).

The child function is:

$g(x) = f(x+4) - 6$

Transformation 1:

$g(x) = f(x+4)$

Shifting a function f(x) a units to the left is finding f(x + a). So g(x) = f(x + 4) is f(x) shifted 4 units to the left.

Transformation 2:

$g(x) = f(x+4) - 6$

Subtracting a function f(x) by a constant a is the same as shifting the function a units down. So subtracting by 6 is shifting the function 6 units down. Thus, the correct answer is:

g(x) is shifted 4 units left and 6 units down from f(x).

5 0

3 years ago

OBSERVATION A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff. The angle of elevation to

vekshin1

Answer:

The tower is 102.26 feet tall.

Step-by-step explanation:

We have drawn the triangle for your reference.

According to the figure point 'A' is the persons eye.

Point 'B' is the bottom of the cliff.

Point 'C' is the top of the cliff.

And Point 'D' is the top of the tower.

Given,

A person standing 100 feet from the bottom of a cliff notices a tower on top of the cliff.

So from diagram we can say that;

Length of AB = 100 ft

The angle of elevation to the top of the cliff is 30°.

So from diagram we can say that;

∠CAB = 30°

the angle of elevation to the top of the tower is 58°.

So from diagram we can say that;

∠DAB = 58°

We have to find the height of the tower i.e. CD.

Solution,

In ΔCAB,

∠CAB = 30°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 30\° = \frac{BC}{100}$

Now

$tan\ 30\° = \frac{1}{\sqrt{3}}$

$\frac{1}{\sqrt{3}} = \frac{BC}{100}\\\\BC =\frac{100}{\sqrt{3}} = 57.74 \ ft$

In ΔDAB,

∠DAB = 58°

AB = 100 ft

Now according to trigonometric ratios;

$tan\theta=\frac{opposite\ side}{adjacent\ side}$

Substituting the values we get;

$tan\ 58\° = \frac{BD}{100}$

Now

$tan\ 58\° = 1.60$

$1.60 = \frac{BD}{100}\\\\BD =100\times 1.6 = 160 \ ft$

Now BD = BC + CD

CD = BD - BC = 160 - 57.74 = 102.26 ft

Hence The tower is 102.26 feet tall.

6 0

4 years ago

100 POINTS PLZ HELPPP Drag each tile to the correct box. Arrange the expressions in increasing order of their estimated values.

andrew11 [14]

Answer:

Explanation:

1.) Rewrite √24 = $\sqrt{4*6} = 2\sqrt{6}$ Rewrite √54 = $\sqrt{9*6}= 3\sqrt{6}$

Divide both terms by the denominator; √6 cancels. 2-3 = -1

2.) Rewrite as $\frac{3}{2\sqrt{5}}$ × $\frac{10\sqrt{2}}{3\sqrt{5}}$ The 3's cancel. 10/2 = 5√2 in the numerator.

√5 × √5 = 5 in the denominator. The 5's cancel.

That leaves √2 ≈1.4142

3.) Divide the terms in the numerator by the term in the denominator.

√2's cancel. 10π/2 = 5π 8π/2 = 4π

Subtract and we are left with π = 3.14159

4.) $\pi\sqrt{\frac{5}{3}}\cdot\pi\sqrt{\frac{3}{5}}$ The square roots are reciprocals. They multiply to 1

We are left with π × π = π² ≈ 9.8696

8 0

3 years ago

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Which of the following is equal to g(x)

sashaice [31]

Answer:

the answer is B thats wat equals to g(x)

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3 years ago

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