Can someone Help me?

Answer:

(identity has been verified)

Step-by-step explanation:

Verify the following identity:

sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2

sin(x)^2 = 1 - cos(x)^2:

sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

-(1 - cos(x)^2) = cos(x)^2 - 1:

cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2

sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:

-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2

(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2

-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:

cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2

The left hand side and right hand side are identical:

Answer:  (identity has been verified)

Answer:

9. 40°

10. 50°

11. 270°

12. 310°

Step-by-step explanation:

m∠BPC = 40° because it is complementary to ∠APB, which is 50°.

Arc AB is 50° because it will be equal to the central angle, which is 50°.

Arc ADC is 270° because it will be equal to the central angle, which is 270°.

Arc ADB is 310° because it will be equal to the central angle, also 310°.

Answer:

x = 7

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

80 + 14x + 2 = 180

14x + 82 = 180 ( subtract 82 from both sides )

14x = 98 ( divide both sides by 14 )

x = 7

In the given parallelogram QRST, x = 7°.

In a quadrilateral, adjacent angles are the pair of angles, that come is formed by the intersection of any common line.

In the question, we are shown a parallelogram QRST and are asked to find the value of x.

We know that ∠TQR and ∠QRS are adjacent, as they include a common side, QR.

∠TQR = 80°, ∠QRS = (14x + 2)°

Now, we know that adjacent angles of a parallelogram are supplementary, that is their sum = 180°

∴ ∠TQR + ∠QRS = 180°

or, 80° + (14x + 2)° = 180°

or, 14x = 180° - 80° -2° = 98°

or, x = 98°/14 = 7°

∴ In the given parallelogram QRST, x = 7°.

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Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Answer:

supplementary

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and supplementary.

Answer:

Angles 1 and 2 are supplementary angles.

Step-by-step explanation:

This means that angles 1 and 2 add up to 180 degrees.

Answer:

Look at the picture.

Step-by-step explanation:

Always remember to isolate than divide/multiply

The answer is (x+2)(x+5)

The middle number is 7 and the last number is 10.

What numbers when multiplied get 10 AND when added together get 7?

I hope this helped :)

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

Answer:

The equation for the new line in slope-intercept form is:  

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

Answer:

-11

Step-by-step explanation:

logb ( a^5 c^2 / d^6)

Splitting these into log (xy/z) = log x + log y  -  logz

logb ( a^5)  +logb ( c^2)  - logb( d^6)

We also know that log x^y = y log x

5logb ( a)  +2logb ( c)  - 6 logb( d)

Given logb ( a)=3  logb ( c) =2   logb( d)=5

5 * 3 + 2* 2 - 6* 5

15 +4 -30

19 - 30

-11

Answer: -11

Step-by-step explanation:

just got it right on ap3x

Answer:

The answer is A. [tex]g(x)=4x^2[/tex]

Answer:

B. 3/5

Step-by-step explanation:

I actually dont know how to explain srry

Answer: B; 3/5

Step-by-step explanation: There are multiple different ways for solving this. We could guess and check, convert into a decimal, and/or percentage. Just to keep things simple, I will be converting these to decimals.

First, 18/30=.6

Now we have to convert the following multiple choice into decimals to find out which is equivalent.

3/10=.3 --> This is not .6 so this is incorrect

3/5=---->.6, so this is one choice we could pick

4/5--->.8, so this is incorrect

6/10---> which is also .6, so this option qualifies.

But then, in the question it states the lowest terms. So your answer would be 3/5.

hope this helps

-Carrie

P.S. be sure to mark BRAINLIEST

Answer:

The answer is C/-4.

Step-by-step explanation:

Mark me brainiiest.

Answer:

4        :5

Step-by-step explanation:

boys : girls

12      : 15

Divide each by 3

12/3    : 15/3

4        :5

Answer:

(1,–1), (4, –2), (9, –3)

Step-by-step explanation:

In the picture attached, the plot of the function f(x) = -√x is shown.

To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

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Answer:

C.

Step-by-step explanation:

(5+5)/2 = 5, (4 + -5)/2 = -1/2

(5, -1/2)

TFW when you realize you answered two years too late...

Answer: 49.12 ft²

Step-by-step explanation:

To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.

Area of Triangle

A=bh/2

A=6(8)/2

A=48/2

A= 24 ft²

Area of Semi Circle

A=πr²/2  (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)

A=π(4)²/2

A=(3.14)(16)/2

A=25.12 ft²

Total area

A=24+25.12=49.12 ft²

Answer:

a=5 b=0 c=3

Step-by-step explanation:

The quadratic equation is written as

ax^2 + bx+c =0

5x^2 +3 =0

5x^2 +0x  +3 =0

a=5 b=0 c=3

Answer:

(8, -5)

Step-by-step explanation:

When you reflect across the line y = x, you switch the two numbers in the coordinate. The point (a, b) turns into (b, a).

Answer: y=2x+14

Step:

substitute into y=mx+b

m= slope

b = y-int.

Answer: a) Cost(x) = $9.50 + $15*x

b)  $84.50

Step-by-step explanation:

a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.

We have:

A fixed $9.50 (this does not depend on the number of members in the family)

and $15 for each member, so the equation that represents this is:

Cost(x) = $9.50 + $15*x

b) now we have x = 5, then:

Cost(5) = $9.50 + $15*5 = $84.50

Answer:

a. y = 9.50 + 15a

b. total cost(y) = 84.5

Step-by-step explanation:

Brandon decided to take his family to a water park to celebrate the end of the school year.

The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .

a. The linear equation can be expressed below.  The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)

let

a = number of person for the entire day

total cost  = y

y = 9.50 + 15a

b. To find the cost for a whole family of 5 member can be calculated below.

Using the linear equation

total cost = 9.50 + 15a

total cost = 9.50 + 15(5)

total cost = 9.50 + 75

total cost(y)= 84.5

Answer:

23°.

Step-by-step explanation:

Look closely at the spots where A and C connect. They end in the same exact place, suggesting that they are the same number of degrees.

It's a no-brainer.

Answer:

5

Step-by-step explanation:

8(3 + a) = 64

3 + a = 8

a = 5

The value of a is 5.

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Answer:

6. x = 3 7. x = 120 8. x= -5

Step-by-step explanation:

the first question is x(-4) + 3 = -9

find the value of x :

-4x + 3 = -9

we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.

-4x = -12

-4(3) = -12

therefore the answer to problem 6 is x=3

and for 7 :

x / 6 - 9 = 11

we can add 9 on both sides which will cancel it out;

x/6 = 20

120/6 = 20

therefore the answer to the question 7 is 120.

For problem 8 it says :

-3x -5 = 10

we can add 5 on both sides to get:

-3x = 15

-3(-5) = 15

therefore the answer to problem 8 is -5

Answer: Reflection

Step-by-step explanation:

After reflection it maps the pre-image to the image.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

A transformation of ΔSTV results in ΔUTV.

Now, We can see the image of triangles,

After reflection it maps the pre-image to the image.

Thus, The correct transformation which maps the pre-image to the image is, Reflection.

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Answer:

6

Step-by-step explanation:

Given the system of equations:

y = 6x-b  (eq. 1)

-3x+1/2y = -3 (eq. 2)

We can rewrite eq. 1 as follows:

-6x + y = -b

Dividing by 2:

(-6x + y)/2 = -b/2

-6x/2 + y/2 = -b/2

-3x + 1/2y = -b/2

The system of equations will have infinite number of solutions if both equations are equal. Therefore:

-b/2 = -3

b= -3*(-2)

b = 6

Answer:

$20.9

Step-by-step explanation:

100%=22

95%=x

95x22=2090/100=20.9

Answer:

$20.95 (rounded)

Step-by-step explanation:

To solve this, you need to first make an equation where x is the original cost before tax. So it would be 22=1.05x. You know it is 1.05 because 1 is the "whole" original cost and 0.05 is the 5% tax in decimal form. To solve the equation, you divide both sides by 1.05 to get x=20.95

Answer:

Volume = length × width × height

length = 16

height = 5

V= 16 × w × 5

V = 80w

Hope this helps.