two numbers or expressions that have been the same value are

The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = [tex]\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.[/tex]

Similarly, we get:
|CB| = [tex]\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.[/tex]

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

[tex]A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2[/tex]

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

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Answer: A. -1.8

Step-by-step explanation: Hi there!

First, we have to see the constant rate of change in the x and y values.

For x: 2

For y: -3.6

If the slope is m=y/x

then we can do

-3.6/2

that simplifies to

-1.8/1

which is

-1.8

Hope this answer helps you!

Answer: A and C

Step-by-step explanation: :)

Answer:

A and C [: (edg 2021)

Step-by-step explanation:

I got it correct on my assignment!

Answer:

D on edge

3(n – 2) ≥ 5n

Step-by-step explanation:

the next question's answer is  B

Answer:

D. y=-3x-6

Step-by-step explanation:

Slope is before x and since it is -3 it is -3x the y-intercept is the number without the variable and since it's -6 you get y=-3x-6

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

divide both sides of the equation by 4 to leave s by itself

Answer:

Step-by-step explanation:

Since we are not given the value of P, |Q|, R and S, we can as well assume values for them for the sake of this question.

Let P = 5, |Q| = 6, R =7 |S| = 2

Note that since Q and S are in modulus sign, they can return both positive and negative values.

P+Q = 5 + 6 (note that the positive value of Q is used since we need the greatest value of P+Q)

P+Q = 11

Hence the greatest value of P+Q is 11

For the least value of P+Q, we will use the negative value of Q as shown

P+Q = 5+(-6)

P+Q = 5-6

P+Q = -1

Hence the least value of P+Q is -1

Similarly:

R+S = 7 + 2 (note that the positive value of S is used since we need the greatest value of R+S)

R+S = 9

Hence the greatest value of R+S is 9

For the least value of R+S, we will use the negative value of S as shown

R+S = 5+(-2)

R+S = 5-3

R+S = 2

Hence the least value of P+Q is 2

NOTE THAT THIS ARE ASSUMED VALUES. ALL YOU NEED IS TO PLUG IN THE VALUES OF P, Q and R THAT YOU HAVE IN CASE THE VALUES DIFFERS.

Answer:

Step-by-step explanation:

Given y = coskt

y' = -ksinkt

y'' = -k²coskt

Substitute this y'' into the expression 25y'' = −16y

25(-k²coskt) = -16(coskt)

25k²coskt = 16(coskt)

25k² = 16

k² = 16/25

k = ±√16/25

k = ±4/5

b) from the DE 25y'' = −16y

Rearrange

25y''+16y = 0

Expressing using auxiliary equation

25m² + 16 = 0

25m² = -16

m² = -16/25

m = ±4/5 I

m = 0+4/5 I

Since the auxiliary root is complex number

The solution to the DE will be expressed as;

y = Asinmt + Bsinmt

Since k = m

y = Asinkt+Bsinkt where A and B are constants

Answer:

7000

Step-by-step explanation:

10^3=1000

1000*7=7000

7000 is answer

1000×7 = 7000

Answer:

im pretty sure the answer is a

Step-by-step explanation:

and follow me plz

Answer:

937.333

Step-by-step explanation:

Answer:

937.33 (rounded. Real answer: 937.333333)

Step-by-step explanation:

5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)

Answer:

bn = 1 / n

Step-by-step explanation:

We want to show the series an diverges.  So we need to find a smaller function bn that diverges.  That means we can eliminate options C and D, both of which converge.

an = (3 + sin(n) + e⁻ⁿ) / (2n − 1)

Sine is between -1 and +1, and e⁻ⁿ  approaches 0 as n approaches infinity.  So the numerator is a minimum of 2 as n approaches infinity.  So we can make a new function:

an = 2 / (2n − 1)

Let's look at option B: bn = 4 / √n = 2 / (½√n).

½√n is less than 2n − 1, so bn is greater than an.  We can't use that to show that an diverges.

Now let's look at option A: bn = 1 / n = 2 / (2n).

2n is greater than 2n − 1, so bn is less than an.  Since bn diverges, an must also diverge.

Answer:

A

Step-by-step explanation:

Answer:

I'm pretty sure its b

Step-by-step explanation:

I plotted each one to make a polynomial graph and b was the one that had the x-intercepts at -6, 1, and 4.

hope this helped a little :))

Answer:

105

Step-by-step explanation:

55 + 20 + x = 180

Answer:

1.   [tex]n: n^3 > 0[/tex] is not true for negative integers

2.  [tex]45\ and\ 45[/tex] show that all angles do not have different measure

3.  [tex]Fraction = \frac{1}{3}[/tex]

Step-by-step explanation:

Solving (1):

[tex]n: n^3 > 0[/tex]

Take

[tex]n = -1[/tex]

[tex]-1^3 = -1[/tex]

[tex]n: n^3 > 0[/tex] is not true for negative integers

Solving (2):

The angles of a right angled triangle are:

[tex]45, 45\ and\ 90[/tex]

[tex]45\ and\ 45[/tex] show that all angles do not have different measure

Solving (3):

When

[tex]Bills = 48[/tex]

[tex]Counterfeit = 16[/tex]

The fraction is calculated as thus:

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{16}{48}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Similarly, when

[tex]Bills = 39[/tex]

[tex]Counterfeit = 13[/tex]

[tex]Fraction = \frac{Counterfeit}{Bills}[/tex]

[tex]Fraction = \frac{13}{39}[/tex]

[tex]Fraction = \frac{1}{3}[/tex]

Answer:

A. -7 A2. -7

B.-14 B2. 2

C.-14 C2.14

D. 1 D2. -7

9514 1404 393

Answer:

  a. -7, -7

  b. -14, 2

  c. -14, -14

  d. 1, -1

  e. misuse of the associative property leads to different results

Step-by-step explanation:

Your calculator (or a spreadsheet) can figure these easily.

a. -12 +(-4 +9) = 12 +5 = -7

  (-12 +(-4)) +9 = -16 +9 = -7

__

b. (14 -20) -8 = -6 -8 = -14

  14 -(20 -8) = 14 -12 = 2

__

c. (14 +(-20)) +(-8) = -6 -8 = -14

  14 +(-20 +(-8)) = 14 +(-28) = -14

__

d. -1 -(-1 +(-1)) = -1 -(-2) = -1 +2 = 1

  (-1 -(-1)) +(-1) = (-1+1) -1 = 0 -1 = -1

__

e. The associative property works for addition. When the associative property is used to rearrange subtraction problems, the minus signs need to be kept with the numbers, as in (c). That is, the problem needs to be expressed as a sum of signed numbers.

In (d), the term -(-1 +(-1)) was broken in the middle when the sum was rearranged for the second expression. Only terms in the same level of parentheses can be rearranged by the associative property.

Answer:

666:999

Step-by-step explanation:

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Answer:

39.584034 cm

Step-by-step explanation:

Firstly find the radius, 6.3 cm. Then plug into the formula, 2πr.

I used 3.14159 as pi.

work:

2 * 3.14159 * 6.3

6.28318 * 6.3

39.584034

Answer:

57%

Step-by-step explanation:

because percentages go up to a hundred so 57 would be 57%.

Answer:

57%

Step-by-step explanation:

The answer is 57%. The reason is because when we are talking about percentage, it always out of 100. 57 out of 100, you would make that into a fraction so it would be 57/100. You would then divide 57/100 to get 0.57. Move the decimal two places to the right to get 57%.

Answer:

Angle ABD =  45 degrees

Angle DBC =  45 degrees

Step-by-step explanation:

If the ray BD bisects ABC, then it divides it in two angles of equal measure. The we can write the following equality:

angle ABD = Angle DBC

9 x + 9 = 12 x - 3

solve for x by subtracting 9x from both sides,

9 = 3 x - 3

and adding 3 to both sides:

9 + 3 = 3 x

12 = 3 x

divide both side by 3 to isolate "x":

12/3 = x

x = 4

And now we can find the value of each angle:

Angle ABD = 9 x + 9 = 9 (4) + 9 = 36 + 9 = 45 degrees

Angle DBC = 12 x - 3 = 12 (4) - 3 = 18 - 3 = 45 degrees

Answer:

42 ounces or B

Step-by-step explanation:

5 pounds - 2 pounds=3 pounds

3 pounds=48 ounces

48 ounces-6 ounces=42 ounces

The rate of change for the relationship, given the data is -2.25 gallon/min

Velocity is simply defined as the rate of change of displacement with time. Mathematically, it can be expressed as:

Velocity = displacement / time

With the above idea in mind, we can obtain the rate of change for the given relationship. This is illustrated below:

Rate = Change in gallon / change in time

Rate = (36.25 - 38.5) / (8 -7)

Rate = -2.25 / 1

Rate of change = -2.25 gallon/min

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Answer:

8.2%

Step-by-step explanation:

9,895x = 809.41

x = 0.08179 or 8.2%

Answer:

The answer is D 14^10

Answer:

A

Step-by-step explanation: