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Sergeeva-Olga [200]

3 years ago

12

Dave says:

1 answer:

Nuetrik [128]3 years ago

8 0

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.

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Step-by-step explanation:

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Question Progress

andreyandreev [35.5K]

The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

Step-by-step explanation:

The given is,

The sum of two numbers is 21

The second number is six times the first number

Step:1

Let, m - First number

n - Second number

Step:2

From given,

n - 6m ( The second number is six times the first number )

Equation becomes,

Sum = m + n

Where,

21 = m + ( 6m )

21 = 7m

m = 3

Substitute m value n becomes,

n = 6m

= (6 × 3)

n = 18

Result:

The two numbers are 3 and 18, if the sum of two number is 21 and the second number is six times the first number.

5 0

3 years ago

A parabola passes through the points (-2,8), (0,2), and (1,5). What function does the graph represent?

zheka24 [161]

ANSWER

$y = 2 {x}^{2} + x + 2$

EXPLANATION

Let the function that represent the graph be:

$y = a {x}^{2} + bx + c$

The parabola passes through the points (-2,8), (0,2), and (1,5).

These points must satisfy the function.

For (-2,8), we have

$8= a{( - 2)}^{2} + b( - 2) + c$

This implies that that,

$4a - 2b + c = 8...(1)$

For (0,2), we have,

$2= a{( 0)}^{2} + b( 0) + c$

This implies that,

$c = 2$

For (1,5), we have

$5= a{( 1)}^{2} + b( 1) + c$

This implies that,

$a + b + c = 5...(2)$

Put c=2 into equation (1) and (2).

$4a - 2b + 2 = 8$

$4a - 2b = 8 - 2$

$4a - 2b = 6$

$2a - b = 3...(3)$

$a + b + 2=5$

$a + b =5 - 2$

$a + b = 3...(4)$

Add equation (3) and equation (4)

$3a = 6$

$a = 2$

Put a=2 into equation (4).

$2 + b = 3$

$b = 3 - 2 = 1$

Therefore the function is

$y = 2 {x}^{2} + x + 2$

5 0

4 years ago

Set up an algebraic equation then solve. 1. When 3 is subtracted from the sum of a number and 10 the result is 2. The sum of 3 t

Inessa05 [86]

Answer:

( x+10)-3= 2

x+10= 5

x= -5

3x+12= 3

3x= -9

x= -3

3( x+6 )= 5x

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2x= 18

x =9

w= l-4 y= x-4

perimeter= 2l+ 2w

2(2x) + 2( x-4)

4x+2x-8 = 72

6x= 72+8

6x= 80

x= 13.3 width = 9.3 length = 13.3

4x=48

x = 12

each 2= 24

7 0

3 years ago