What is the range of possible sizes for side x?

Step-by-step explanation:

[tex]6 \cos {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6(1 - sin {}^{2} x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 6 \sin {}^{2} (x) + 4 \sin {}^{2} (x) = 5[/tex]

[tex]6 - 2 \sin { }^{2} (x) = 5[/tex]

[tex] - 2 \sin {}^{2} (x) = - 1[/tex]

[tex] \sin {}^{2} (x) = \frac{1}{2} [/tex]

[tex] \sin(x) = \frac{1}{ \sqrt{2} } [/tex]

Take the arc Sine of the function

[tex]arcsin( \frac{1}{ \sqrt{2} } ) = \frac{\pi}{4} [/tex]

Finally, Sine is a periodic function so it has two answers within the interval (0, 2 pi)

Use the identity

[tex] \sin(x) = \sin(x + \pi) [/tex]

We know that

[tex] \sin( \frac{\pi}{4} ) = \frac{1}{ \sqrt{2} } [/tex]

so using the identity

[tex] \sin( \frac{\pi}{4} + \pi ) = \sin( \frac{5\pi}{4} ) [/tex]

So we have two answers.

[tex]( \frac{\pi}{4} )[/tex]

[tex]( \frac{5\pi}{4} )[/tex]

Answer: x = 14/23

Step-by-step explanation:

3x-6=4(2-3x)-8x

3x-6=8-12x-8x --> Expand 4(2-3x)

3x-6=8-20x --> Collect like terms

3x-6+6=8-20x+6 --> Add 6 to both sides, to remove it from the right side

3x=-20x+14

3x+20x=-20x+14+20x --> Add 20x to both sides, to remove it from the left side

23x=14

[tex]\frac{23x}{23}=\frac{14}{23}[/tex] --> Divide both sides by 23

x = 14/23

Answer:

50%

Step-by-step explanation:

Answer:

it is reduction so the answer is B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the formula rise/run. The rise, in this case, was 3 and the run was 1. There for it would be 3/1 which is simplified to 3.

Answer:

(12 x 12) - 44 = 100

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

From the given table, we have

1) The coordinate points are (10, 7) and (1, 2)

Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]

[tex]=\frac{5}{9}[/tex]

2) The coordinate points are (9, 9) and (1, 16)

Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]

[tex]=-\frac{7}{8}[/tex]

3) The coordinate points are (9, 3) and (2, 1)

Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]

[tex]=\frac{2}{7}[/tex]

4) The coordinate points are (8, 8) and (1, 2)

Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]

[tex]=\frac{6}{7}[/tex]

Therefore,

1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].

2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].

3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].

4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].

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Answer:

3x²-4

Step-by-step explanation:

1 distribute

(-4x²-2x-6)+7x²+2x+2

2 eliminate redudant parentheses

-4x² -2x - 6+7x² +2x+2

3 Add the numbers

-4x²-2x-4+7x²+2x

4 Combine like terms

3x²-2x-4+2x

5 Combine like terms

3x²-4

Answer:

[tex]3x^{2} -4[/tex]

Step-by-step explanation:

Before solving this you have to know that,

( - ) × ( - ) = ( + )

( + ) × ( + ) = ( + )

( - ) × ( + ) = ( - )

Let us solve now.

[tex](-4x^2-2x-6)-(-7x^2-2x-2)[/tex]

[tex](-4x^2-2x-6)+7x^{2} +2x+2[/tex]

[tex]-4x^2-2x-6+7x^{2} +2x+2[/tex]

Now combine like terms

[tex]-4x^{2}+7x^{2} -2x+2x-6+2[/tex]

[tex]3x^{2} -4[/tex]

Hope this helps you .

Let me know if you have any other questions :-)

Answer: [tex]\frac{3}{4}[/tex]

Have attached the picture for explanation...

The product of the fraction in the simplest form is 3/4

A fraction is a figure that is not a whole number. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below.

2/3 x 9/8 = 18/24 = 3/4

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Answer:

Christmas How many pouds this proportion to solve

It should be noted that mathematics is multicultural. This implies that mathematics applies to different cultures.

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Answer: The answer is 10 feet of cable.

Answer:

75

Step-by-step explanation:

First divide 2/5 to get 0.4. Then divide 30 by 0.4 to get the answer. A simple way to think about it is how many 0.4 grams are in 30 gram tube.

Answer:

y^6 z^12

Step-by-step explanation:

When the bases are the same that means that the powers on the inside can be multiplied by whatever is outside.

Hope this helps :)

Answer:

Step-by-step explanation:

According the table, the yearly amount increases by 100 dollars in option 1 and 1.1 times in option 2.

It means the function is linear in option 1 and exponential in option 2.

Calculate the amount of total value in each case substituting x or d by 7 and compare the amounts:

As we see the option 2 is better choice and the difference is:

Answer:

I=2t

Step-by-step explanation:

ivan has 2 times t

Answer: See below

Step-by-step explanation:

Isolate x for x-2y+2z=9

3x=9+2y

[tex]x=\frac{9+2y}{3}[/tex]....(1)

Substitute (1) into the 2nd equation

[tex]\begin{bmatrix}-\frac{9+2y}{3}+3y=-4\\ 2\cdot \frac{9+2y}{3}-5y+3z=16\end{bmatrix}[/tex]

[tex]\frac{3\left(-9+7y\right)}{3}=3\left(-4\right)[/tex]

7y=-3

y=-3/7

Substitute y=-3/7

[tex]\begin{bmatrix}3z+\frac{18-11\left(-\frac{3}{7}\right)}{3}=16\end{bmatrix}[/tex]

[tex]\begin{bmatrix}3z+\frac{53}{7}=16\end{bmatrix}[/tex]

Isolate z by substituting it

[tex]3z+\frac{53}{7}=16[/tex]

[tex]\frac{3z}{3}=\frac{\frac{59}{7}}{3}[/tex]

[tex]z=\frac{59}{21}[/tex]

For x =9+2y/3 substitute z=59/21 and y=-3/7

[tex]x=\frac{9+2\left(-\frac{3}{7}\right)}{3}[/tex]

[tex]x=\frac{19}{7}[/tex]

[tex]x=\frac{19}{7},\:z=\frac{59}{21},\:y=-\frac{3}{7}[/tex]

Answer:

(1, - 1, 3 )

Step-by-step explanation:

x - 2y + 2z = 9 → (1)

- x + 3y = - 4 → (2)

2x - 5y + 3z = 16 → (3)

Add (1) and (2) term by term to eliminate x

y + 2z = 5 → (4)

Multiply (2) by 2

- 2x + 6y = - 8 → (5)

Add (3) and (5) term by term to eliminate x

y + 3z = 8 → (6)

Subtract (6) from (4) term by term to eliminate y

- z = - 3 ( multiply both sides by - 1 )

z = 3

Substitute z = 3 into (4)

y + 2(3) = 5

y + 6 = 5 ( subtract 6 from both sides )

y = - 1

Substitute y = - 1, z = 3 into (1) and solve for x

x - 2(- 1) + 2(3) = 9

x + 2 + 6 = 9

x + 8 = 9 ( subtract 8 from both sides )

x = 1

solution is (1, - 1, 3 )

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve this using unitary method ~

Therefore , the ostrich will run 105 meters in 5 seconds.

Step-by-step explanation:

x = 2/5 or x = 0 Hope that will help

Answer:

Check the picture below

Step-by-step explanation:

The percentage of the cost that Jeremy will pay including the tip paid is 115% of the cost.

Assuming the cost was $100 and Jeremy gave a 15% tip. The total he would pay is:

= 100 + tip

= 100 + (100 x 15%)

= $115

In percentage this is:

= 115/100 x 100%

= 115%

In conclusion, Jeremy would pay 115% of the tip.

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Answer:

0.007

Step-by-step explanation:

0's before other numbers are non-significant. Then you just round your number.

Hope that helps

Step-by-step explanation:

please mark me as brainlest

Answer:

Breeders cross animals of the same species with desirable traits to create desirable offspring.

Step-by-step explanation: