Study the system of equations.
x + 7y < 14
x – 2y < 10
Which ordered pair is a solution of this system?
(-1, 3)
(0, 3)
(1, 3) (3, 0)

the length of the side of this square is [tex]4\sqrt{2} \:or \:5.65[/tex]cm

Answer:

Solutions Given:

let diagonal of square be AC: 8 cm

let each side be a.

As diagonal bisect square.

let it forms right angled triangle ABC .

Where diagonal AC is hypotenuse and a is their opposite side and base.

By using Pythagoras law

hypotenuse ²=opposite side²+base side²

8²=a²+a²

64=2a²

a²=[tex]\frac{64}{2}[/tex]

a²=32

doing square root on both side

[tex]\sqrt{a²}=\sqrt{32}[/tex]

a=±[tex]\sqrt{2*2*2*2*2}[/tex]

a=±2*2[tex]\sqrt{2}[/tex]

Since side of square is always positive so

a=4[tex]\sqrt{2}[/tex] or 5.65 cm

Answer:

Given :

↠ The diagonal of a square is 8 cm.

To Find :

↠ The length of the side of square.

Using Formula :

Here is the formula to find the side of square if diagonal is given :

[tex]\implies{\sf{a = \sqrt{2} \dfrac{d}{2}}} [/tex]

Where :

Solution :

Substituting the given value in the required formula :

[tex]{\dashrightarrow{\pmb{\sf{ \: a = \sqrt{2} \dfrac{d}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \dfrac{8}{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times \cancel{\dfrac{8}{2}}}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = \sqrt{2} \times 4}}}[/tex]

[tex]{\dashrightarrow{\sf{ \: a = 4\sqrt{2}}}}[/tex]

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{ \: a = 5.65 \: cm}}}}}}[/tex]

Hence, the length of the side of square is 5.6 cm.

[tex]\underline{\rule{220pt}{3pt}}[/tex]

Answer:

 B.  4200

Step-by-step explanation:

A suitable calculator can add the terms for you. (See attached)

__

The first term is 69, and the common difference is 75-69 = 6. The general term is ...

  an = a1 +d(n -1)

  an = 69 +6(n -1)

Then the 28th term is ...

  a28 = 69 +6(27) = 231

The average term is (a28 +a1)/2 = (231 +69)/2 = 150.

The sum is the number of terms multiplied by the average term:

  sum = 28×150= 4200

Answer:

A. 4

Step-by-step explanation:

I hope this helps you!!!

Answer:

24,25,26

Step-by-step explanation:

Answer:24, 25, 26

Step-by-step explanation:

Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.

Answer:

C .12 units I think so if wrong I am sorry

I only solved #53 , it is inverse.

Set up an equation:

4x + 8y = 200

200/4 = 50

200/8 = 25

They callus sell 50 student tickets and 0 adult tickets

They could sell 0 student tickets and 25 adult tickets.

They could sell 10 student tickets and 20 adult tickets

They could sell 10 adult tickets and 30 student tickets

Step-by-step explanation:

the question doesn't make sense and you need to rephrase the question.

Answer:

g(5) = -1

Step-by-step explanation:

g(5)= -(5)+4

g(5)= -1

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

꧁TheoriesMadeTheWorld꧂

Answer:

100.73

Step-by-step explanation:

Area of Rectangle=140

Area of Semi-Circle=39.27

Area of Rectangle-Area of Semi-Cirlce=100.73

Answer:

$7.00

Step-by-step explanation:

$86+$12=$98

$98÷14=7

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

Answer:2/8, 0.3215, 9/16, 0.75

Step-by-step explanation:

2/8 = 0.25  0.3215 is higher then 9/16 =0.5625 next is 0.75

Answer :

4x + 9y = 27

Explanation :

Multiply the equation with 9

9( y = -4x/9 + 3 )

9y = -4x + 27

4x + 9y = 27

Answer:

15

Step-by-step explanation:

Answer:

[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]

Step-by-step explanation:

[tex]\sf x^2-x+2=0[/tex]

Use quadratic formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1, b=-1, c=2[/tex]

___________________________

[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]

_________________

[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]

[tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]

_______________________________________

Learn more: brainly.com/question/22286698

Answer:

  g(x) = -4x^2 +(45/2)x +6

Step-by-step explanation:

A function is scaled horizontally by replacing x with x/k, where k is the expansion factor. Here, we want to expand the graph horizontally by a factor of 2, so the new function will be f(x/2).

  g(x) = f(x/2) = -16(x/2)^2 +45(x/2) +6

  g(x) = -4x^2 +(45/2)x +6

Answer:

y=x+2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-4)/(4-2)

m=2/2

m=1

y-y1=m(x-x1)

y-4=1(x-2)

y=x-2+4

y=x+2

Step-by-step explanation:

The formula is Distance=√(x2-x1)²+(y2 -y1)²

x1 is 5, x2 is 1, y1 is 9, y2 is 6

D = √( 1-5)² +(6-9)²

D = √(-4)²+(-3)²

D = √16+9

D = √25

D = 5 units

Answer:

m/_a = 8 , m/_b= 3, m/_c = 4

Answer:

Step-by-step explanation:

4.  2x + 1 = 17

5.  x-13 = 94

6.  x/2 = 7

7.  5x = 35

8.  x + 43 = 84

9.  x-18 = 36

10.  x = 8y

11.  x = y - 5

12.  x + (x+1) + (x+2) = 18

13.  x = y + 4

14.  2x + 8 = 24

Answer:

Miss Parker folded 180 more towels than the average laundry worker

Step-by-step explanation:

5 multiplied by 60 gives you the average laundry worker- 5x60=300 towels per hour. Miss Parker can fold 8 per minute so you do 8 multiplied by 60 which would give you her average- 8x60=480. To find how many more towels she has folded than the average luandry worker you subtract miss Parker’s total from the average laundry person’s total giving you- 480-300=180

When we use the number line, we need to count forward from -10.

Therefore, the distance between -9 and -4 is 6 units.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer: (weight = w)

This is a lot to answer but. (A)  (13 x 1.2) - 14 = w

w = 1.6

Step-by-step explanation:

Answer:

450 cm area

Step-by-step explanation:

Formula 1/2*b*h

1/2*75*12cm

1/2*900

1*450cm

450 is area  PLEASE MARK BRAINLIEST :))