The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.

Answer:

x - 1

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

42-13=29

Answer: Its remainder is 1 when you divide 17 by 2.

In other words, 17/2 = 8 remainder 1.

The 8 is the quotient.

The reason why we know we get a remainder 1 is because the condition of "if n is an odd number" and here n = 17 is odd. So the first condition is met allowing us to use the full "if, then" statement given to us.

Answer:  x = 28

===================================================

Explanation:

The angles COE, EOF, and FOB combine to form angle COB

angle COB = (angleCOE)+(angleEOF)+(angleFOB)

angle COB = (3x)+(x)+(x+12)

angle COB = 5x+12

----------

Angles AOD and COB are vertical angles, so they are congruent

angle COB = angle AOD

5x+12 = 152

5x = 152-12

5x = 140

x = 140/5

x = 28

Answer:

$49.50

Step-by-step explanation:

30% of $50 = $15.00

7% of $50 = $3.50

22% of $50 = $11.00

$50.00 - $15.00 = $35.00

$35.00 + $3.50 = $38.50

$38.50 + $11.00 = $49.50

How much was your dinner?

The total amount is $49.50, so only a total of 50 cents is being taken off from the whole payment of the dinner. (≧◡≦)  (o´∀`o)  (´• ω •`)  (＾▽＾)  (⌒ω⌒)

Answer:

C = (-7,-5)

Step-by-step explanation:

Analysing the statements in the question, one after the other.

1. 7 units to the left of y axis

This implies that the x coordinate of C is -7

2. 5 units below the x axis.

This implies that the y coordinate of C is -5)

So,

C(x,y) = C(-7,-5)

Hence, the required coordinates of C is (-7,-5)

Answer:

In order to find the missing number (X), you must first identify the pattern in the set of numbers. Upon a glance, you can determine that the pattern starts with 4 and then the next number is 2n+1, with n being the preceding number in the set.

Answer:

93.70

Step-by-step explanation:

Answer:

i got none just me? i got 4

Step-by-step explanation:

Answer:  Rotate z by 90° clockwise about the origin.

Step-by-step explanation:

Suppose we have the number z = a + b*i, that can be represented with the point (a, b) in a coordinate axis.

If we divide z by i, we have:

[tex]\frac{z}{i} = \frac{a + b*i}{i} = \frac{a + b*i}{i} *\frac{i}{i} = \frac{a*i - b}{-1} = b - a*i[/tex]

This point will be represented with the point (b, -a)

Then we have the transformation:

(a, b) ----> (b, -a)

This is a rotation of 90° clockwise about the origin.

Then the correct option is:

Rotate z by 90° clockwise about the origin.

Answer:

C

Step-by-step explanation:

rotate Z clockwize

Answer: Can you describe it a lil better than that?

Step-by-step explanation:

Answer:

the answer is 56.00 dollars

Step-by-step explanation:

I did this

Answer:

Ben ran at a speed of 240m/min and Sam ran at a speed of 200m/min So Ben is faster by a rate of 40/min

Step-by-step explanation:

Ben's miles per minutes

[tex] \frac{3600}{15} = 240[/tex]

Sam's miles per minute

Given

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

The cost of one candy bar is $1.5 and this can be determined by forming the linear equation with the help of given data.

Given :

Form the linear equation in order to determine the cost of one candy bar. Let 'x' be the cost of crackers, 'y' be the cost of cookies, and 'z' be the cost of candy bars.

So, the linear equation that represents the situation "A snack bag containing 6 of each type of snack costs $21.00" is:

6x + 6y + 6z = 21  --- (1)

The linear equation that represents the situation "A snack bag containing 8 packages of crackers, 5 packages of cookies, and 10 candy bars costs $26.00" is:

8x + 5y + 10z = 26  --- (2)

The linear equation that represents the situation "A snack bag containing 5 packages of crackers, 4 packages of cookies, and 7 candy bars costs $18.50" is:

5x + 4y + 7z = 18.50  --- (3)

Simplify all three equations in order to determine the value of 'x', 'y', and 'z'.

z = $1.25

y = $1.5

x = $0.75

For more information, refer to the link given below:

https://brainly.com/question/11897796

Answer:

The speed of the boat is 20 km/hr

Step-by-step explanation:

Let s be the speed of boat in still water

Let d be the distance

Upstream speed = s-4

Jane took 30 min to drive her boat upstream to water-ski at her favorite spot.

So, Distance traveled in upstream =[tex]Speed \times time =(s-4) \times \frac{30}{60}[/tex]

Downstream speed = s+4

So, Distance traveled in downstream = [tex]Speed \times time =(s+4) \times \frac{20}{60}[/tex]

So, [tex](s-4) \times \frac{30}{60}=(s+4) \times \frac{20}{60}[/tex]

30s-120=20s+80

10s=200

s=20

Hence The speed of the boat is 20 km/hr

Answer:

-7

Step-by-step explanation:

(x,y) --> (0,-7) -7 is the y-intercept

Answer:the answer is -7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Let the number be represented with 'Y'

Half of the number will be = Y/2

The difference of half of a number and 3

= Y/2 - 3

Is equivalent to negative 5

That is,

Y/2 - 3 = -5

y/2-3/1 = -5/1

Collect like terms

y/2 = -5/1+3/2

y/2 = -7/2

Multiply both sides by 2

y/2 ×2 = -7/2×2

Y = - 7

Hence the number is negative 7

Answer:

Step-by-step explanation:

7) ∠1  + 30 = 180                {linear pair}

            ∠1 = 180 - 30

            ∠1 = 150

8)  ∠2 = 30    {Vertically opposite angles are congruent}

9) In ΔLMN,

∠L + ∠N + ∠M = 180   {angle sum property of triangle}

50 + 30 + ∠M = 180

       80 + ∠M = 180

                ∠M = 180 - 80

                ∠M = 100°

10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.

∠B + ∠A = ∠BCD

30 +   ∠A = 80

        ∠A  = 80 - 30

      ∠A = 50

Answer:

The length of the segment is 5

Answer:

The probability that there will be

(a) at least 2 such accidents in the next month?

= 0.864

(b) at most 1 accident in the next month?

= 0.136

Step-by-step explanation:

This is a Poisson Distribution question.

The formula is given as:

For X = x ,

= λ^x × e^-λ/x!

The monthly worldwide average number of air- plane crashes of commercial airlines is 3.5. What is the probability that there will be

(a) at least 2 such accidents in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at least 2 such accidents

x ≥ 2

= 1 - [P(x = 0) + P(x = 1)]

= 1 - [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= 1 - [ 1 × 0.0301973834 + 3.5 × 0.0301973834]

1 - [ 0.0301973834+ 0.105690842]

= 0.8641117746

≈ 0.864

(b) at most 1 accident in the next month?

= λ^x × e^-λ/x!

λ = 3.5

x = at most 1 such accidents

x ≤ 1

= [P(x = 0) + P(x = 1)]

= [(3.5^0 × e^-3.5/0!)+ (3.5^1 × e^-3.5/1!)]

= [ (1 × 0.0301973834) + (3.5 × 0.0301973834)]

[ 0.0301973834+ 0.105690842]

= 0.1358882254

≈ 0.136

the answer is 144 not sure what you're supposed to do with that. 144 rounded would just be 100.

716 - 572 = 144

Answer:

See the graph

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  − 1

x-intercept: (-5,0)

y-intercept:  ( 0 , − 5 )

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height

This question is incomplete

Complete Question

The lions and the tigers played a football game. The Lions scored three more than three times the number of points the Tigers scored. The total number of points scored by both teams is 31. How many points were scored by each team?

Answer:

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

Step-by-step explanation:

Let the number of points scored by the lion = l

The number of points scored by the tiger = t

The Lions scored three more than three times the number of points the Tigers scored.

l = 3 + 3(t)

The total number of points scored by both teams is 31.

= l + t = 31

3 + 3t + t = 31

4t = 31 - 3

4t = 28

t = 28/4

t = 7 points

Note:

l + t = 31

I = 31 - t

l = 31 - 7

l = 24 points

The number of points scored by the Lions = 24

The number of points scored by the Tigers = 7

The general equation represented as: [tex]\mathbf{x^2 = 2py}[/tex]

The equation is given as:

[tex]\mathbf{x^2 = 64y}[/tex]

Recall that:

[tex]\mathbf{x^2 = 2py}[/tex]

Where:

[tex]\mathbf{F = (0,\frac p2)}[/tex] --- the focus

[tex]\mathbf{y = -\frac p2}[/tex] --- the directrix

Compare [tex]\mathbf{x^2 = 2py}[/tex] and [tex]\mathbf{x^2 = 64y}[/tex], we have:

[tex]\mathbf{2py = 64y}[/tex]

Divide both sides by 2y

[tex]\mathbf{p = 32}[/tex]

Recall that:

[tex]\mathbf{F = (0,\frac p2)}[/tex]  and [tex]\mathbf{y = -\frac p2}[/tex]

So, we have:

[tex]\mathbf{F = (0,\frac {32}2)}[/tex]

[tex]\mathbf{F = (0,16)}[/tex]

[tex]\mathbf{y = -\frac p2}[/tex]

[tex]\mathbf{y = -\frac{32}{2}}[/tex]

[tex]\mathbf{y = -16}[/tex]

The axis of symmetry is [tex]\mathbf{x = 0}[/tex]

Read more about equations of parabola at:

https://brainly.com/question/11911877

Answer:

A, D and F are the answers because for the 1st question, 64.7 is the bigger number, for the second 65 is the biggest and for the last 65 is the largest number.

Answer:

Yes it is the same. Since the total distance left behind per time unit would be the same. Just that He would Do that by himself.

Answer:

yes

Step-by-step explanation: