Trent is drawing a diagram of his house for a school project. He decides that every 5 feet in real life should be 2 inches in the diagram. Trent's living room is 15 feet long. How long should Trent's living room be in his diagram?

9514 1404 393

Answer:

  (-6, -4)

Step-by-step explanation:

If you're going to use technology to answer your questions, you may as well use appropriate technology: a graphing calculator. It shows the solution to the system is the ordered pair (-6, -4).

__

The first of the given equations can be solved for y, then that used to substitute for y in the second equation.

  y = 5x +26

  2x -7(5x +26) = 16

  2x -35x -182 = 16

  -198 = 33x . . . . . . . . add 33x-16

  -6 = x . . . . . . . . . . . . divide by 33

  y = 5(-6) +26 = -4 . . . find y

The solution is (x, y) = (-6, -4).

Given:

The equation is

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

To find:

The values of m and b.

Solution:

We have,

[tex]4(2x-3)-(mx+5)=5x+b[/tex]

Using distributive property, we get

[tex]8x-12-mx-5=5x+b[/tex]

On combining like terms, we get

[tex](8-m)x+(-12-5)=5x+b[/tex]

[tex](8-m)x-17=5x+b[/tex]

On comparing both sides, we get

[tex](8-m)=5[/tex]

[tex]-m=5-8[/tex]

[tex]-m=-3[/tex]

[tex]m=3[/tex]

And,

[tex]b=-17[/tex]

Therefore, m = 3 and b = 17.

Note: All options are incorrect.

Answer:

0

Step-by-step explanation:

If you replace y with 0 (which you do since you are given y = 0 and you are trying to find x from the (_,0) point), you get [tex]2x = 5x[/tex]. The only way for x to satisfy this is x = 0.

Answer:

-5.49

Good Luck!!!

Answer:

2 inches of snow was left on the ground

Step-by-step explanation:

To calculate the amount of snow on the ground we can take it one step at a time. Since there was no snow on the ground we can start at a level of 0. Then it snowed until 6 inches of snow had fallen, so we can add that to our total.

0 + 6 = 6 inches

Next, it snowed for 2 more hours at a rate of 2 inches per hour, meaning we multiply this by 2 hours and add to the total amount of snow that was already on the ground.

(2*2) + 6 = 10 inches

Lastly, the sun came out and melted the snow on the ground for 2 hours at a rate of 4 inches per hour. Since it is melting the snow, this means that it is subtracting the snow from the total. So we would have to multiply the rate (4 inches per hour) by the number of hours and then subtract that from the amount of snow on the ground.

10 - (4*2) = 2 inches

Answer:

3

Step-by-step explanation:

We can use the formula of slope to find this answer.

The formula to find the slope is y2-y1/x2-x1.

The slope of line ST is 1/5: 2-0/5-(-5);   2/10=1/5

We know that for two lines to be perpendicular, they have to have reciprocal opposite slopes. For example, if the slope of a line is 2/1 then the slope of a line perpendicular is -1/2.

Therefore, the perpendicular line should have a slope of: 1/5------>-5

To find which answer it is, follow the steps below:

y2-y1/x2-x1

plugin known values

-2-y1/0-(-1)

-2-y1/1

In order to make this -5, y1 needs to be 3

-2-3/1=-5

3 is the correct value

The value of y is 3.

The slope of a line is a measure of its steepness.

Given:

Ware( -1, y)

Now,

slope of line ST =2-0/5-(-5)

slope=1/5

As two lines to be perpendicular, they have to have reciprocal opposite slopes.

Thus, the perpendicular line slope =-5

Now, y2-y1/x2-x1

= -2-y1/0-(-1)

= -2-y1/1

= -2-3/1

=-5

hence, the value of y is 3.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Answer:

A.32

Step-by-step explanation:

h(x)=x^2-4

h(6)=6^2-4

h(6)=36-4

h(6)=32

Answer:

v = b/0.75 - 0.95s/0.75

Or

v = (b - 0.95s) / 0.75

Step-by-step explanation:

Solve 0.75v + 0.95s = b for v

This means making v the subject of the formula

0.75v + 0.95s = b

Subtract 0.95s from both sides

0.75v + 0.95s - 0.95s = b - 0.95s

0.75v = b - 0.95s

Divide both sides by 0.75

v = (b - 0.95s) / 0.75

v = b/0.75 - 0.95s/0.75

The equation will be useful in determining the number of vegetarian

Answer:

Perpendicular refers to that which has a right angle in relation to the intersection of two lines or planes. ... As seen in the Cartesian plane, what defines a line as perpendicular is its point of intersection with another line.

Step-by-step explanation:

Step-by-step explanation:

2.7/100*1575=42.525

then for 9years

9*42.525=$382.725

Answer:

it would be 4 right (the last one)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

21/5000

Step-by-step explanation:

0.0042 takes the form of 21/5000 as a fraction.

Answer:

21/500

Step-by-step explanation:

0.0042 = 42/1000, (There is 4 digits to the right of the decimal point)

42 is an even number so, divide by 2 to simplify.

42/2 = 21 and 1000/2 = 500

21/500 is your final answer because 21 is divisible by 7 and 3 but 500 cannot be divided by either of those to get a whole number.

Hope this helps! :)

(Brainlyest would be appreciated  ;)

rectangle area: length x width

multiply each x-axis with the y-axies then find the mean average

Answer:

length: 15 units

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Take a look at the slope-intercept form of the equation .

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

Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes

[tex]y=\frac{9}{7}x+\frac{1}{3}[/tex]

now we take LCM of 7 and 3 which becomes

[tex]y=\frac{27x+7}{21}[/tex]

and then,

[tex]21y=27x+7[/tex]

so A is our Answer

if arrange the equation accordingly

[tex]27x-21y=-7[/tex]

Answer:

10-5= 5

6-4=2

Step-by-step explanation:

subtracting

Answer:

10-5=5

6-4=2

Subtract 5 from the 10, which gets you 5.

Subtract 4 from 6, and you get 2.

Answer:

72

Step-by-step explanation:

-2 x -4 = 8

8 x 9 = 72

Hope this helps! Please mark Brainliest!

Answer:

72 = Positive

Step-by-step explanation:

The property we use,

→ Associative property

Now the product will be,

→ (-2 × -4) × 9

→ 8 × 9 = 72

→ -2 × (-4 × 9)

→ -2 × (-36) = 72

Then the required sign is,

→ Positive (+ve)

Hence, the product is 72.

Answer:

x + 7 = 14  //  x - 5 = 2  //  x - 9 = -2  //  3x - 15 = 6 … (x = 7)

2x - 1 = 7  //  2x - 5 = 3 … (x = 4)

2x - 3 = 3  //  2x + 5 = 11  //  4x + 2 = 14  //  2x + 1 = 7 … (x = 3)

12x - 3 = 24  //  4x - 1 = 8 … (x = 9/4)

I hope I helped! I apologize if I made a mistake.

Answer:

2/5, 0.42, 50%

Step-by-step explanation:

2/5 = 0.4

0.42=0.42

50% = 0.5

Answer:

Step-by-step explanation:

just switch the 50% and ,42

2/5,,42,50% hope this helps

Answer:

it is number 1 it is number 1

Answer:

81cm²

Step-by-step explanation:

36/4=9

9×9=81

Answer:

a3

Step-by-step explanation:

Answer:

the computed value gets larger

Step-by-step explanation:

Answer:

6x12=72 The whole board was 72 inches long.

Step-by-step explanation:

If each piece were 12 inches and there were 6 pieces that is 6 multiplied by 12 which equals 72 inches.

Answer:

to find the perimeter, you would need to add, so I the answers would be 36 units.

Step-by-step explanation: