Mr. Wilson is giving his students a vocabulary test tomorrow over all the terms they have learned from this semester. Today, he wants to determine how prepared the students are for the test. So, he writes each term on a note card and puts all the note cards in a paper bag.

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

https://brainly.com/question/12559989

Answer:

The second one is right

Step-by-step explanation:

anyone help, im stuck

Answer:

The third one

Step-by-step explanation:

Since, 1 can be represented by x we can make an equation

2 can be represented y

and 4 can be represented by x

Since x + y = 180 and x + z = 180

y = z

Or 2 = 4

Brainliest please :)

Answer:

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

I can even see anything can you reupload your answer, please?

Step-by-step explanation:

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  5/2

Step-by-step explanation:

The ratio of the diameters is equal to the scale factor:

  sf = (15 in)/(6 in) = 5/2

The scale factor used to create circle A' is 5/2.

Answer:

c)  1 foot per 2 hours

Step-by-step explanation:

1/6 of a foot (which is 12 inches) is 2 inches

1/3 of an hour (which is 60 minutes) is 20 minutes

2 inches in 20 minutes is the same as 12 inches (which is 1 foot) in 120 minutes (which is 2 hours)

A proportional relationship means that two or more things are directly proportional, or that the quantities increase or decrease according to equivalent ratios. We can state this proportional relationship with the formula, y = kx. Y and x here are the quantities that are proportional to each other.

Answer:

2c²

Step-by-step explanation:

8c³d² / 4cd²

= 2 * c²

= 2c²

Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

Answer:

the answer would be c brainlest if right :0

Step-by-step explanation:

Hello!

-----------------------------------------------------------------------------------------------------------------

I presume the answer is Option C.

It's much easier to evaluate this expression than the other ones.

Hope it helps!

~SparklingFlower

-----------------------------------------------------------------------------------------------------------------

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

−

2

−

3

−

1

0

0

1

1

0

2

−

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

4

x

y

−

2

3

−

1

0

0

−

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

−

2

5

−

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

Answer:

ion

Step-by-step explanation:srry

$135.63 or Choice B

Step-by-step explanation:

If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Answer:

1:2

Step-by-step explanation:

1:2 would be a equivilant

also most simplified

Answer:

1 :2

Step-by-step explanation:

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

Answer:

6

Step-by-step explanation:

You can solve this using Pythagorean Theorem;

a² + b² = c²

c is always the hypotenuse or the longest length in the triangle which is always opposite to the forming 90° angle.

a and b values can be the other 2 legs, doesn’t matter which one is which

we are given;

a = 8

c = 10

a² + b² = c²

(8)² + b² = (10)²

64 + b² = 100

b² = 100 - 64

b² = 36

√b² = √36

b = 6

Therefore the answer = 6

Hope this helps!

Answer:

Step-by-step explanation:

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

The LCD is (a^2 + a)(a - 2) so we have

[(a + 2) - 3(a^2 + a)] /  (a^2 + a)(a - 2)

= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)

= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)

Answer:

10

because when you plus 3+7 is 10

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

Answer:

-5

Step-by-step explanation:

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

Answer:

A is answer

Step-by-step explanation: