All categories

3 years ago

How can we show a number increased by 2? Can you prove this using a model? If so, draw the model.

Mathematics

1 answer:

taurus [48]3 years ago

4 0

Answer:

x + 2

Step-by-step explanation:

Let x be the unknown number,

For making the diagram to model this problem,

Take a grid that shows x, ( shown below )

Then take a grid that shows 2.

Join these grids,

We obtain a grid, showing x + 2

Hence, the required expression that represents the given situation is x + 2

You might be interested in

What is this line called on a ruler and what is it used for?

Sauron [17]

Answer:

A hash mark.

Step-by-step explanation:

The marks or intervals on a ruler are called hash marks. That particular hash mark measures 0 millimeters. Hash marks are used for telling the measurement of an object.

8 0

3 years ago

Solve the system of linear equations below.<br><br> y = -2x + 19<br> y = x + 7

ASHA 777 [7]

Hey there!

y = -2x + 19
y = x + 7

We gonna solve this system of equation by using the substitution method.

We wanna solve y = -2x + 19 for y

Let start by substitute -2x + 19 for y in y = x + 7

y = x + 7
-2x + 19 = x + 7

Subtract x from both sides

-2x + 19 - x = x + 7 - x

-3x + 19 = 7

Now subtract 19 on both sides

-3x + 19 - 19 = 7 - 19

-3x = -12

Then divide both sides by -3

-3x/-3 = -12/-3

x = 4

We have the value of x. Now we gonna use that same value to find the value for y.

We gonna do that by substitute 4 for x in y = -2x + 19

y = -2x + 19

y = -2(4) + 19

y = -8 + 19

y = 11

Thus,

The answer is: x = 4 and y = 11

Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!

6 0

3 years ago

The top of the Boulder Dam has an angle of elevation of 1.2 radians from a point on the Colorado River. Measuring the angle of e

Nana76 [90]

Answer:

382.925 feets

Step-by-step explanation:

The solution diagram is attached below :

Converting radian measurement to degree :

radian angle * 180/π = degree angle

1.2 * 180/π = 68.755°

0.9 * 180/π = 51.566°

Height of dam is h:

Using trigonometry :

Tan θ = opposite / Adjacent

Tan 68.755° = h / x

h = x Tan 68.755° - - - (1)

Tan 51.566° = h / (155+x)

h = (155+x) tan 51.566° - - - (2)

Equate (1) and (2)

x Tan 68.755 = (155+x) Tan 51.566

x Tan 68.755 = 155tan 51.566 + x tan 51.566

x Tan 68.755 = 195.32311 + x Tan 51.566

x Tan 68.755 - x Tan 51.566 = 195.32311

x(tan 68.755 - tan 51.566) = 195.32311

x * 1.3120110 = 195.32311

1.3120110x = 195.32311

x = 195.32311 / 1.3120110

x = 148.87307

Using :

h = x Tan 68.755

h = 148.87307 * tan(68.755)

h = 382.92539

h = 382.925 feets

5 0

3 years ago

Look at the image below.7,120Course se54.Course che3What is the area of the triangle?units

Paladinen [302]

$\text{Area of the triangle = 6 unit}^2$ Explanation:

The triangle is right angled.

The formula for area of the triangle:

$\begin{gathered} A\text{ = }\frac{1}{2}bh \\ \\ b\text{ = base} \\ h\text{ = height} \end{gathered}$

base = 3

height = 4

substitute the values:

$\begin{gathered} \text{Area of the triangle = }\frac{1}{2}\times3\times4\text{ = 12/2} \\ \text{Area of the triangle = 6 unit}^2 \end{gathered}$

8 0

1 year ago

If 3x - y = 3 and -x + y = 3 then xy=___?

mamaluj [8]

First find x and y.

Solve system of equations by elimination.

3x-y=3

+(-x+y=3)

---------------

2x=6

x=3

Now plug in x into one of the equations to find y.

-3+y=3

y=6

xy=3x6=18

5 0

3 years ago