1. A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a
square. The larger square has side lengths that are three inches longer than the smaller square.
(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of
equations that models this scenario.
(b) Solve the system of equations and determine the lengths of the two pieces of wire.

Answer: Half

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Answer:

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Step-by-step explanation:

equation of line formula:

[tex]y = mx + c[/tex]

m = slope

c = y-intercept

1) find m

slope formula:

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

take 2 coordinates from the given graph and substitute the values into the slope formula

i) (-1,0)

[tex]x _{1} = - 1[/tex]

[tex]y_{1} = 0[/tex]

ii) (3,2)

[tex]x_{2} = 3[/tex]

[tex]y_{2} = 2[/tex]

substitute the values into the slope formula

[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]

[tex]m = \frac{2}{4} [/tex]

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

2) find the half equation of the line by substituting the value of m into the equation of line formula

[tex]y = \frac{1}{2} x + c[/tex]

3) find c by substituting either coordinate into the half equation

(3,2)

x = 3

y = 2

[tex]2 = \frac{1}{2} (3) + c[/tex]

[tex]2 = \frac{3}{2} + c[/tex]

[tex]2 - \frac{3}{2} = c[/tex]

[tex] \frac{1}{2} = c [/tex]

[tex]c = \frac{1}{2} [/tex]

4) find equation of line by substituting the value of c into the half equation

[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]

Answer:

637, 245

Step-by-step explanation:

Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]

                                                        [tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]

Thus, the distance between the two snakes after 3 mins is 4.5 inches.

The relative speed between them, as they are moving in the same direction, therefore,

Relative speed = (26-24.5) = 1.5 inches per minute

[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]

                                                          [tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]

Thus, the distance between the two snakes after 10 mins is 15 inches.

Learn more about Speed, distance, and Time:

https://brainly.com/question/15100898

Answer:

Step-by-step explanation:

a right angle contains 90° (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

Answer:

4

Step-by-step explanation:

Answer:

y= 11 + 1.50x. (y is the price, x is number of toppings)

Step-by-step explanation:

Answer:

C 80in^2

Step-by-step explanation:

Multiply 12*3*2 for the area of both sides of the H to get 72

For the middle multiply 2*4 to get 8

72+8=80

Answer:

( x , y ) = ( -1,1/2)

Step-by-step explanation:

Solve the equation for X

[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]

Substitute the given value of x into the equation 5x + 8y = -1

5(-5/3+4/3y)+8y=-1

Solve the equation for Y

y=-1/2

Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y

x=-5/3+4/3×1/2

Solve the equation for X

x=-1

The system solution is the computer pair

(x,y)=(-1,1/2)

Check if the ordered pair given to the solution of the system of equations

[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]

Simplify the equations

[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]

The ordered pair is the solution of the system of equations, since both equations are true

(x,y)=(-1,1/2)

Answer:

7

Step-by-step explanation:

66+(4x-4)=90

66+4x-4=90

62+4x. =90

4x. =28

x. =7

Answer:

B

Step-by-step explanation:

First, find the slope by using change in y divided by change in x.

Change in y = 5 - 2 = 3

Change in x = 2 - 1 = 1

This means that the slope is 3/1 = 3.

Then, you put it in the point-slope form so:

(y - 2) = 3(x - 1)

Answer:

x=0

Step-by-step explanation:

1/2(40+2x)=20

20+x=20

x=0

(I believe that s is the bisector, please correct me if I am wrong)

Answer:

29.9

Step-by-step explanation:

29.9 rounded to the nearest 10 is 30

Answer:

attached

Step-by-step explanation:

draw line pass (-12,0) and (0,3), solution is the shaded part

Answer:

x=2

Step-by-step explanation:

Answer:

A. 39%

Step-by-step explanation:

(125-90)/(90)=(35)/(90)=0.3889 or 39%

To find the percent increase, we need to divide the amount of change by the original amount.

Answer:

Given triangles are similar

[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]

Answer:

x=25

Step-by-step explanation:

180-113=67

67-42 = 25

Answer:

3

Step-by-step explanation:

Answer:

3 coefficients or answer c

Step-by-step explanation:

A coefficient is a holder of a vairable for example 5x in this equation 5 is the variable.

hope this helped brutherrr

Answer:

s=4.75

Step-by-step explanation:

Just substitute the given variable values into the original equation

s=10•½+½•-2•½²

s=5+-1•¼

s=5+-¼

s=-4.75

Answer:

9 is the correct answer all the best

Step-by-step explanation:

(x + 0.5)/6 = 19/12

2(x + 0.5) = 19 (multiply 12 on both sides)

x + 0.5 = 9.5 (divide 2 on both sides)

x = 9 (subtract 0.5 on both sides)

The answer is 9.

Answer:

3:1

8:5

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

56*56 = 3136

42*42 = 1764

3136+1764 = 4900

4900 squared is 70

Answer:

C. (x+9)(x-7)

Step-by-step explanation:

(x*x)=x^2

(9*x)=9x

(-7*x)= -7x

(9*-7)= -63

x^2+9x-7x-63 = x^2+2x-63