Solve the system of linear equations

Answer:

(3,2)

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

= 26 m^2.

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Answer:

  m∠SVW = 80°

Step-by-step explanation:

3. The sum of same-side interior angles SVW (4x°) and VWT (5x°) is 180°. This can be used to solve for x and to find the angle values.

  4x + 5x = 180

  9x = 180 . . . . . . . . collect terms

  x = 20 . . . . . . . . . . divide by 9

m∠SVW = 4x° = 4(20)°

m∠SVW = 80°

_____

4. Then m∠VWT = 180° -80° = 100° = 5x°.

__

5. Consecutive interior angles are supplementary. ("Same-side" and "consecutive" are used interchangeably in this context.)

Step-by-step explanation:

64/(1+1+2)

= 64/4

= 16

1 : 1 : 2

mark = 1×16 = 16

dave = 1×16 = 16

ralph = 2×16 = 32

Step-by-step explanation:

hope it helps

please rate

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x - y = 5 → (1)

4x + y = - 10 → (2)

Rearrange (1) expressing y in terms of x

(a)

y = x - 5 → (3)

Substitute y = x - 5 into (2)

4x + x - 5 = - 10

5x - 5 = - 10 ( add 5 to both sides )

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into (3) for corresponding value of y

y = - 1 - 5 = - 6

(b)

As a check

Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution

(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True

(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True

Thus solution is (- 1, - 6 )

Answer: look at the picture and I don’t know how to solve for b but I can do h

Step-by-step explanation: hope this help :)

Answer:

i dont know

Step-by-step explanation:

i dont know

Answer:

its the last one & the 3rd one.

hope that helps

Answer:

2. -16

6. 23

7. -40

8. -17

9. 41

10. -58

Answer:

11cm

Step-by-step explanation:

Answer:

-20z² + 13z - 2.

Step-by-step explanation:

hello !

you use the F.O.I.L method to multiply these two. first, you multiply the first terms, which are:

(-4z)(5z) = -20z²

then, the outside terms, which are:

(-4z)(-2) = 8z

then, the inside terms, which are:

(1)(5z) = 5z

then, lastly, the last terms, which are:

(1)(-2) = -2

Therefore, we get:

-20z² + 8z + 5z - 2.

combine like terms, and the answer is:

-20z² + 13z - 2.

Answer:

Nope. Icy-hot, you've got it all wrong, Tsukkishima is a godda.mn nerd like Deku, and Kyo is meh.

Answer:

Positive infinite to negative infinite

Step-by-step explanation:

The closest number to -1 from the given options is -0.82

The closest number to -1/4 from the given options is -0.28

A number line is a visual representation of numbers on a straight line. This number line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

Now, from the number line given we want to find the numbers that are closest to -1 and -1/4.

The closest number to -1 from the given options is -0.82

The closest number to -1/4 from the given options is -0.28

Read more about Number Lines at; https://brainly.com/question/4727909

#SPJ1

Answer:

Jill lost 1/3

Bill lost 1/6

and Jack lost 1/4

Make a common denominator -  let's use 12

Jill lost 4/12

Bill lost 2/12

Jack lost 3/12

Add them together = 9/12

reduce by dividing by 3.

total of 3/4 spilt

48 divided into 4 parts then multiplied by 3 of those parts

48 / 4 * 3 = 36

Step-by-step explanation:

Answer:

my answer was wrong and cannot help

Answer:

9/40

Step-by-step explanation:

120 × ⅖ = 48

120 × ⅜ = 45

120 - 93 = 27

27/120 = 9/40

Based on the proportions and the counters in the bag, the fraction that is green is 9 / 40.

You can find the number of green counters by:

= Number of counters - Red counters - Yellow counters

= 120 - (120 x 40%) - (120 x 3/8)

= 120 - 48 - 45

= 27 green counters

= Number of green counters / Total number of counters

= 27 / 120

To take it to the lowest term, divide both numbers by 3:

= 9 / 40

In conclusion, the fraction is 9 / 40.

Find out more about fractions at https://brainly.com/question/17743912.

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Answer:

  24 cm²

Step-by-step explanation:

When the diagonals of a quadrilateral cross at right angles, the area of it is half their product.

  A = (1/2)(d1)(d2)

  A = (1/2)(6 cm)(8 cm) = 24 cm²

The area of the kite is 24 square centimeters.

Answer:

y < [tex]\frac{13}{2}[/tex]

Step-by-step explanation:

Given

5y + 4 < 3y + 17 ( subtract 3y from both sides )

2y + 4 < 17 ( subtract 4 from both sides )

2y < 13 ( divide both sides by 2 )

y < [tex]\frac{13}{2}[/tex]

Answer:

y < 13/2

Step-by-step explanation:

Answer:

3 1/2 hours

Step-by-step explanation:

Multiply 4/8 by 7 and you get 28/8 whihc reduces to 3 4/8 and 4/8 can be simplified to 1/2

Answer:

Step-by-step explanation:

Hi! So I am not sure if when you mention for the week if she is talking about the school week(5Days) or a regular week (7 days). So we'll do both.

We know that 4/8 hour can be simplified to 1/2 hour. We also know that 1 hour is 60 minutes ... so 1/2 hour is 30 minutes. This means she reads 30 minutes per day.

School Week: 5 Days

30 minutes x 5 Days = 150 minutes or 2 hours and 30 minutes (2 1/2 hours) (20/8 of an hour)

Regular Week: 7 Days

30 minutes x 7 days= 210 minutes or 3 hours and 30 minutes (3 1/2 hour) (28/8 of an hour)

Please mark me the brainliest or not ! I hope this answers your question

Answer:

Step-by-step explanation:

35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4

Answer:

The slope is 2. It represents the price of the cookies.

Step-by-step explanation:

The slope is 2 because its in frount of the x and 2 is the price of the cookies.

Answer:

Are you guys classmates?

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

We have that the correct Pentagon should have

Symmetry

This can be defined as an exact correspondence between different part of a system .

Therefore it can be said that Carla's Pentagon lacks Symmetry

Where a

Pentagon

is defined as a a shape with five sides and five angles

In this sense the is absolutely nothing with Carla's Pentagon

But if Carla is going for a pentagon with equal sides and and, Then

For more information on this visit

https://brainly.com/question/17054992

Answer:

Step-by-step explanation:

If the sumof two numbers is 4 and the sum of their squarea minus three times their product is 76, find the two numbers

Let us represent:.

First number = x

Second number = y

If the sum of two numbers is 4

= x + y = 4

x = 4 - y

The sum of their squares minus three times their product is 76

x² + y² - 3xy = 76

We substitute 4- y for x

(4 - y)² + y² - 3(4 - y)y = 76

(4 - y)(4 - y) + y² - (12 - 3y)y = 76

16 - 4y - 4y - y² + y² - 12y - 3y² = 76

16 -20y - 3y² = 76

3y² + 20y - 16 + 76 = 0

3y² + 20y + 60 = 0

Answer:

26mm

Step-by-step explanation:

w+10 + w+ 20 = 144/3

3w+30 = 48

3w = 18

w=6

longest side is 6+20 = 26

Answer:

the answer is 56.25

Step-by-step explanation:

.32x=18

×=56.25

Answer: There are a total of 66 conversations.

Step-by-step explanation:

Ok, we have 12 members.

let's call them:

member 1, member 2, member 3, etc...

Let's assume that member 1 starts talking to the others, then he talks to:

member 2, member 3, member 4, etc.

So member 1 talks to the other 11 members.

We have already 11 conversations.

Now let's count the conversations of member 2.

He talks to member 1, member 3, etc.

But the conversation between member 1 and member 2 was already counted, so we do not count it this time, then here we have other 10 conversations.

now for member 3. He talks with member 1, member 2, member 4, member 5, etc...

But conversations between member 1 and member 3, and member 2 and member 3 are already counted, so here we have 9 new conversations.

We already can see the pattern here.

For each new member that we count, the number of conversations is one less than for the previous member.

The total number of conversations will be:

11 + 10 + 9 + 8+ 7 + 6+5 + 4 + 3+ 2+ 1 = 66

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Answer:

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)