Time taken by three students to cycle a distance of 5500 m is, A took
8 min and 20 seconds, whereas B took 5 seconds more than C, who took
3 seconds less than A. Find their speed and arrange students
in the increasing order of their speed.
(Speed
Distance]
A,B,C
BAC
C, AB
C, B, A

Answer:

Equation A: x = -1 and y = 3

Equation B: x = 12 and y = 16

Step-by-step explanation:

In the complex numbers (a + bi) and (x + yi)

Equation A

∵ (x + yi) + (4 – 7i) = 3 – 4i

∴ (x + 4) + (y - 7)i = 3 - 4i

→ Compare the real parts and compare the imaginary parts

∴ x + 4 = 3 and y - 7 = -4

∵ x + 4 = 3

→ Subtract 4 from both sides

∴ x + 4 - 4 = 3 - 4

∴ x = -1

∵ y - 7 = -4

→ Add 7 to both sides

∴ y - 7 + 7 = -4 + 7

∴ y = 3

Equation B

∵ (x + yi) - (-6 + 14i) = 18 + 2i

∴ (x - -6) + (y - 14)i = 18 + 2i

→ (-)(-) = (+)

∴ (x + 6) + (y - 14)i = 18 + 2i

→ Compare the real parts and compare the imaginary parts

∴ x + 6 = 18 and y - 14 = 2

∵ x + 6 = 18

→ Subtract 6 from both sides

∴ x + 6 - 6 = 18 - 6

∴ x = 12

∵ y - 14 = 2

→ Add 14 to both sides

∴ y - 14 + 14 = 2 + 14

∴ y = 16

Answer: In equation A,  -1  and  3 .  In equation B,  12  and  16 .

picture below

Step-by-step explanation:

Answer:

The correct answer is Transitive

Answer:

The square root of 2-x+x-2 is the square root of x (2-x)

Step-by-step explanation:

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

The sum to infinity of a GP is

[tex]S_{infinity}[/tex] = [tex]\frac{a}{1-r}[/tex] ; | r | < 1

where a is the first term and r the common ratio

Here a = 1 and r = - [tex]\frac{1}{2}[/tex] ÷ 1 = - [tex]\frac{1}{2}[/tex] , thus

[tex]S_{infinity}[/tex] = [tex]\frac{1}{1-(-\frac{1}{2}) }[/tex] = [tex]\frac{1}{1+\frac{1}{2} }[/tex] = [tex]\frac{1}{\frac{3}{2} }[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

2/3

Step-by-step explanation:

1-1/2+1/4.....

[tex]r=\frac{\frac{-1}{2} }{1} =-\frac{1}{2} \\if~|r|<1,then~s_{\infty}=\frac{a}{1-r} ,a=first~term.\\s_{\infty}=\frac{1}{1-(\frac{-1}{2}) } =\frac{1}{1+\frac{1}{2} } =\frac{1}{\frac{3}{2} } =\frac{2}{3}[/tex]

Answer:

y=12/10-15.6

Step-by-step explanation:

The slope of the line is [tex]-\frac{6}{5}[/tex].

To understand more, check below explanation.

The slope of line passing through [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is computed as,

                    [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Given that , points are (-8, -6) and (-18, 6)

So that,

               [tex]Slope=\frac{6-(-6)}{-18-(-8)}\\ \\Slope=\frac{12}{-10}\\ \\Slope=-\frac{6}{5}[/tex]

Hence, the slope of the line is [tex]-\frac{6}{5}[/tex].

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Answer:

Step-by-step explanation:

We don't know the first price?

Answer:

[tex]\sqrt{\frac{9}{2} }[/tex]

Step-by-step explanation:

Given dimensions:

   The right angle system is a 45 - 45 - 90

    Hypotenuse  = 3cm

Unknown:

Adjacent and opposite sides = ?

Solution:

In this triangle, the adjacent and opposite sides are equal to one another. So,

 Let adjacent  = y

        opposite  = y

For right angle triangles as this, using the Pythagoras theorem,

           hypotenuse²  = adjacent² + opposite²

 Insert the parameters and solve;

                    3² = y² + y²

                    2y²  = 9

                       y² = [tex]\frac{9}{2}[/tex]

                       y = [tex]\sqrt{\frac{9}{2} }[/tex]

Answer:

x=4

Step-by-step explanation:

well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4

Answer: (-12u+27)

Step-by-step explanation: I distributed the negative 3

The interpretation of the probability is there is a 12.5% chance of obtaining three heads when three coins are flipped

The probability is given as:

[tex]\mathbf{Pr = \frac 18}[/tex]

The above represents the probability of flipping a head three times.

Express as decimal

[tex]\mathbf{Pr = 0.125}[/tex]

Express as percentage

[tex]\mathbf{Pr = 12.5\%}[/tex]

This means that, there is a 12.5% chance of obtaining three heads when three coins are flipped

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Answer:

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

Answer:

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

Answer:

A

Step-by-step explanation:

We have the expression [tex]k+(2k-10)[/tex]

We want to find the value when k is -3. So, substitute -3 for k and evaluate:

[tex]\Rightarrow (-3)+(2(-3)-10)[/tex]

Multiply:

[tex]=-3+(-6-10)[/tex]

Subtract:

[tex]=-3+(-16)[/tex]

Add:

[tex]=-19[/tex]

Therefore, our answer is A.

Answer:

33

Step-by-step explanation:

You have to do the problem in the brackets and then multiply by 3

Answer:

33

Step-by-step explanation:

{(3+5)x2-5}x3

{8x2-5}x3

{16-5}x3

{11}x3

33

Answer:

3a - 3b

Step-by-step explanation:

Given

2(a - b) - (b - a)

Distribute the first parenthesis by 2 and the second by - 1

= 2a - 2b - b + a ← collect like terms

= 3a - 3b

Answer:

[tex]3a-3b[/tex]

Step-by-step explanation:

[tex]2(a-b)-(b-a)=2(a-b)-b+a=2a-2b-b+a=3a-3b[/tex]

Answer: yes

Step-by-step explanation:

Answer:

n= -10

Step-by-step explanation:

-66=7n+4

-7n=4+66

-7n=70

n=70/-7

n= -10

Answer:

n = -10

Step-by-step explanation:

-66 = -9n + 16n + 4

1. I started by subtracting 4 on both sides of the equation this gives you -70 = -9n + 16n

2. I then combined the like terms 16n and -9n on the right side of the equation. We do this by subtracting 9n from 16n. Which gives you -70 = 7n

3. We then divide both sides by 7 in order to get -10 = n

This gives you your final answer of n = -10

Answer:

f(5)=52

Step-by-step explanation:

f(a)=7(a+3)-4

f(5)=7(5+3)-4

f(5)=7(8)-4

f(5)=56-4

f(5)=52

Answer:

can you re-upload the picture its blurry

Step-by-step explanation:

Answer:

so the dude above me can get brainliest :)

Step-by-step explanation:

Answer:

$24,970

Step-by-step explanation:

22,000+(99,000•0.03)=22,000+2,970=24,970

Answer:

[tex]\frac {2} {3}[/tex] is the answer

Step-by-step explanation:

[tex]\frac {8} {3}[/tex]÷[tex]\frac {4} {1}[/tex] can be turned into [tex]\frac {8} {3}[/tex]·[tex]\frac {1} {4}[/tex] using the KCF method. now we solve:

8\4=2

[tex]\frac {2} {3}[/tex] is the answer

Answer:

Yes, 10227 is a rational number

Step-by-step explanation:

10227 is whole number, an integer, a counting number. For a number to be rational it has to be a integer, a counting number, a whole number, a fraction, and a terminating decimal. A decimal that repeats like 3.3333 is also rational because it can be predicted. Pi or 3.14 is not predictable

Answer:

4(x-4)(x+6)

Standard form: 4x^2+8x-96

Step-by-step explanation:

Since the roots are set to be -6 and 4, we need to find 2 linear equations that are equal to 0 when x is at -6 and when x is at 4, and multiply them together. That would look like this:

(x-4)(x+6)

Notice how if I plug in 4 or -6 for x, the whole thing is going to be 0.

Now, if we were to factor this, the leading coefficient would be 1. Since we want to change the leading coefficient while still preserving our roots, we can just multiply the whole polynomial by 4:

4(x-4)(x+6)

Notice if I still plug in 4 or -6 for x, the whole thing is going to be 0.

In standard form, the polynomial would be 4x^2+8x-96.

Answer:

12

Step-by-step explanation:

Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)

The area of rectangle before and after the 95° degrees rotation about point Q will be same.

The area of a rectangle is the product of its length and width. Mathematically -

Area = length x width

Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'

The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.

Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.

To solve more questions on orientation of shapes, visit the link below-

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Answer:

its 90 bro whenever you see that square on a corner its always 90 degrees

Step-by-step explanation:

Answer:

The answer is 90 degrees.

Whenever you see a square in the corner, it means it's 90 degrees.

It's also red, meaning that that is what you're trying to find.

Answer:

i think the anwser is the third one c

Answer:

The answer is A. m || n.

Step-by-step explanation:

The answer is A. m || n.

If the lines are parallel, then the angle to the right of angle 3 is congruent to angle 1 since they are alternate interior angles of parallel lines. That makes m(1 + m<2 + m<3 = 180 deg.

Answer:

7x

Step-by-step explanations:

4x + 3x

7x

[tex]y = 2[/tex]. That's your equation.

The graph is the attachment.