The perimeter of a
rectangle is 18 cm. The
longer side is 6 cm. How
long is the shorter side?

Answer:

A linear equation is a fancy term for a straight line, which can be created by joining 2 points.

A point can be defined by (x, y), where x and y are the horizontal distance and the vertical distance respectively from point (0,0) (called the origin).

There are 3 ways to define a line:

(1) The slope-intercept form

y = mx + b, in which m is the slope, b is the y-intercept, where the line crosses the vertical axis at (0, b). If values of m and b are given, you can substitute and write the equation right away.

The slope, m, is calculated by rise (vertical difference between 2 points on the line) divided by run (horizontal difference between the 2 points on the line)

Step-by-step explanation:

or example, if 2 points on the line are

(x1, y1) and (x2, y2)

Then slope = (y1– y2)/(x1 — x2)

If m > 0, then the line rises to the right.

If m = 0, then the line is horizontal.

If m < 0, then the line rises to the left.

If the line is in the form x = c, where c is a constant, then the line is vertical.

(2) Point slope form

m = (y — y1)/(x — x1), when (x1, y1) and m are given.

In other words,

m(x — x1) = y — y1

mx — m(x1) = y — y1

y = mx — m(x1) + (y1)

Note that b = -m(x1) + (y1)

(3) linear form

ax + by + c = 0, where a, b, and c are constants.

Answer:

m=1/6

Step-by-step explanation:

Answer:

3d + 15

Step-by-step explanation:

(d + 5) + (d + 5) + (d + 5) =

d + 5 + d + 5 + d + 5 =

(d + d + d) + (5 + 5 + 5) =

3d + 15

Answer:

Lines are perpendicular

Step-by-step explanation:

slope of y=6 is 0

slope of x=6 inf

Answer:

B

Step-by-step explanation:

.45y+.3(0) = 3.6

y=8

8 does not equal 12

Answer:

25% or more

Step-by-step explanation:

t1 = d1/v1 , t2 = d2/v2.

d1 = d2 , and v1 = 0.8 v2

t1 / t2 = d1/d2 x v2/v1 = v2/v1 ( as d1 = d2 )

t1/t2 = v2 / v1 = v2/0.8 v2 = 1/0.8 = 1.25

Answer:

803 people

Step-by-step explanation:

6425 / 8 = 803.125

803 because there is no such thing as .125 person

Answer:

The answer is D)

Step-by-step explanation:

hope it helps

Answer:

[tex]\boxed{\text{\sf \Large D}}[/tex]

Step-by-step explanation:

Add both equations

[tex](x+x)+(y-y)=2^m+2^n[/tex]

[tex]2x=2^m+2^n[/tex]

Divide both sides by 2

[tex]\large \text{$ x=\frac{2^m+2^n}{2} $}[/tex]

Answer:

last option;  h = 2t - d

Step-by-step explanation:

t = 1/2(d + h)

t = [tex]\frac{d}{2}[/tex] + [tex]\frac{h}{2}[/tex]

now multiply each side by 2 to eliminate denominator

2t = 2 ([tex]\frac{d}{2}[/tex] + [tex]\frac{h}{2}[/tex])

2t = d + h

h = 2t - d

Answer:

50

Explanation:

This equation is in y = mx+b form.

The m is the slope and the b is the y intercept. So, 50 is the slope and 100 is the y-intercept.

Answer: five

Step-by-step explanation:

Answer:

1 2/4 (1 1/2)

Step-by-step explanation:

keep, change, flip is how you solve these kinds of problems

the 3/4 stays the same

you turn the ÷ into x

and flip the 1/2 (2/1)

so it becomes

3/4x2/1= 1 2/4 (simplified is 1 1/2)

Answer:

best deal is 64oz for $2.99

Answer:

I would say 64oz for $2.99

Step-by-step explanation:

Answer:

4. ASA theorem

Step-by-step explanation:

The given code is in c++ .

#include<iostream>

using namespace std;

int main( ){

     int s ;

     cout<< "Enter sound in decibel "<<endl;

     cin>> s;

     if( s > 40 ){

           cout<< "Too loud "<<endl;

     }

     else{

           cout<< "Correct Volume"<<endl;

     }

     return 0;

}

//Hence, this is the required solution.

Answer:

y = 30200

x = -29950

Step-by-step explanation:

1.)

Let x represent children and y for adults.

200x + 450y = 7,600,000

x + y = 250

2.)

200x + 450y = 7,600,000

x + y = 250

-200(x + y = 250)

-200x + -200 = -50000

200x + 450y = 7,600,000

+ -200x + -200 = -50000

——————————————-

250y = 7550000

y = 30200

x + 30200 = 250

x = -29950

Uhm so I don’t know why for children I got a negative number? The wording for this question is very weird.

Answer:

D.

Step-by-step explanation:

Answer:

Here,

the given expression is:

3x-15

when x=1

then

=3×1-15

=3-15

=-12

when x=2

then

=3×2-15

=6-15

=9

when x=3

then

=3×3-15

=9-15

=6

the value of x in expression 3x-15 is -12,9 and 6.

Answer:

1 =     (3 x 1) - 15

2=      (3 x 2)- 15

3=       (3 x 3)- 15

Step-by-step explanation:

1=    -12

2=    9

3=    6

Answer:

The slope is 2/3.

Step-by-step explanation:

Rise over run.

Answer:

121 km\hr

Step-by-step explanation:

displacement=speed÷time

then. speed = displacement×time

= 22 × 5.5

= 121 km\hr

Answer:

1. θ = 34.85°

2. x = 36.31°

3. x = 39.80°

Step-by-step explanation:

1. Determination of θ.

Adjacent = 11.9

Hypothenus = 14.5

Angle θ =?

Cos θ = Adjacent /Hypothenus

Cos θ = 11.9 / 14.5

Cos θ = 0.8207

Take the inverse of Cos

θ = Cos¯¹ 0.8207

θ = 34.85°

2. Determination of x

Opposite = 9 m

Hypothenus = 15.2 m

Angle x =?

Sine x = Opposite /Hypothenus

Sine x = 9 / 15.2

Sine x = 0.5921

Take the inverse of Sine

x = Sine¯¹ 0.5921

x = 36.31°

3. Determination of x

Opposite = 10 in

Adjacent = 12 in

Angle x =?

Tan x = Opposite / Adjacent

Tan x = 10 / 12

Tan x = 0.8333

Take the inverse of Tan

x = Tan¯¹ 0.8333

x = 39.80°

Answer:

los 0,75 metros de tela valdrían 7,09. Lo siento si esto es mal español, tuve que usar la traducción.

Step-by-step explanation:

Answer:

Try the answer as £37.50

Step-by-step explanation:

Answer: £37.50

Step-by-step explanation:

Answer:

-5 is the parallel slope to the slope -5.

Answer:

No, he does not have enough money to buy the grapes because he only has 15$ when in total the the grapes are $28.35.

Step-by-step explanation:

Answer:

£2350

Step-by-step explanation:

Commission on the £40,000 = 0.055 x £40000 = £2,200

Total brokerage payable = £2,200 + £150 = £2350