Find the surface area and the volume of the prism .​

Correct answer: y = [tex]\frac{1}{3}[/tex]x + 2

To find out the slope, you would need to remember this slope formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as [tex]x_{1}[/tex] and [tex]y_{1}[/tex], and (0, 2) as [tex]x_{2}[/tex] and [tex]y_{2}[/tex]. Now we can plug these numbers into the slope formula to find out the slope:

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] → [tex]\frac{2-3}{0-3}[/tex] → [tex]\frac{-1}{-3}[/tex] → [tex]\frac{1}{3}[/tex]

To find out the y-intercept, just substitute (3, 3) into the slope-intercept formula ( y = mx + b ) with the slope that is substituted for 'm' that we already solved earlier.

y = mx + b

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

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = [tex]\frac{1}{3}[/tex] and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = [tex]\frac{1}{3}[/tex]x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

Answer:

24, 48

Step-by-step explanation:

1. A common multiple is a number, specifically a whole number, that is a shared multiple between 2 or more numbers.

2. Given the information above, we can see there's a list of multiples for 6 and 8. The multiples that 6 and 8 share are 24 and 48, so they're common multiples.

Therefore, the answer is 24 and 48.

Answer:

The multiples which are used in both numbers are:

24 and 48

Answer:

1.46%

Step-by-step explanation:

Pretend you have a number as a test dummy. We'll go with 100 for simplicity. A 14% increase to 100 would be 114. Then we can decrease 114 by 11%. We can find 11% of 114 with an equation like so: x/114 = 11/100. We can then cross multiply to get this" 100x = 1254, which can be simplified to x=12.54. Now, we can subtract 12.54 from 114, which will get us 101.46. Because percentage is based on 100, we can simply subtract 100 from 101.46, which gives us 1.46. So, the answer is 1.46%.

Answer:

hiik

Step-by-step explanation:

rvnlgsudffstdrestdftuisffjhigyhoffyxhcccdfidsudjifg

Explanation:

If we replaced y with 3 in choice A, then we get

2y-3 = 6

2(3)-3 = 6

6-3 = 6

3 = 6

which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.

Choice C is the answer because,

11y+4 = 37

11(3)+4 = 37

33+4 = 37

37 = 37

which is true. This confirms choice C.

Answer:

irrational numbers integers

Answer:

A and E

Step-by-step explanation:

The given problem shows a graph of a vertical line with an undefined slope, in which its equation is x = 3 (which matches Option A).

It is not considered a function because it has the same input for every given output.  This means that regardless of its y-coordinate, its corresponding x-coordinate will always be x = 3.  

The Vertical Line Test allows us to know whether or not a graph is actually a function. Remember that a function can only take on one output for each input. We cannot plug in a value and produce two output values.  Since the graph represents a vertical line, it automatically fails the vertical line test. Therefore, it is not a function.

Because it is not a function, Options B, C, and D are invalid answers.

Hence, the correct answers are Options A and E.

Answer:

Base= 6

Height= 10

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Let the base be 3x and the height be 5x.

Given that the area is 30,

½ ×base ×height= 30

½(3x)(5x)= 30

Multiply both sides by 2:

3x(5x)= 60

15x²= 60

x²= 60 ÷15

x²= 4

Square root both sides:

[tex]x = \sqrt{4} [/tex]

x= 2

(reject x= -2 since length has a positive value)

Length of base

= 3x

= 3(2)

= 6

Length of height

= 5x

= 5(2)

= 10

Answer:

[tex] {x}^{2} - 4x + 9 = 0 \\ x=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x=\frac{-( - 4)\pm\sqrt{( - 4)^2-4(1)(9)}}{2(1)} \\x=\frac{ 4\pm\sqrt{ 16-36}}{2} \\ x=\frac{ 4\pm\sqrt{ - 20}}{2} \\ x=\frac{ 4\pm2i\sqrt{ 5}}{2} \\ x = 2\pm \: i\sqrt{ 5} \\ D = {b^2-4ac} \\D = { 16-36} \\ = - 20 < 0 \rightarrow \: x \in \: \mathbb{C} \: \\ x \: is \: complex [/tex]

Answer:

The ratios are proportional ratios

Answer:

Step-by-step explanation:

The ratios are proportional

[tex]\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}[/tex]

Answer:

9. 31/2 or 15.5( I think that's the answer)

10. B

Step-by-step explanation:

Engineering has many applications in our country focused on the construction and development of new technological devices.

Engineering is a term that refers to the set of scientific principles necessary to design and build machines, structures, and others such as:

Engineering is characterized by:

According to the above, engineering has many applications in the country such as:

Learn more in: https://brainly.com/question/18564178

Answer:

70 cents each snickers bar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope intercept form is like so:

y = mx + b

mx is the slope

b is the y-intercept

Now in your equation:

y = 0.25x + 2

0.25x is the slope

2 is the y-intercept

Answer:

C. -4/3

Step-by-step explanation:

Parallel lines have the same gradient (steepness) and this means that they will never intersect.

Hope this helps!

The slope of the red line will be {m} = - 4/3.

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is that the straight lines graphed below are parallel.

The slope of the red line could be calculated from the points through which the line passes. The points are : (- 3, 0) and (0, 4).

{m} = (- 4 - 0)/(0 + 3)

{m} = - 4/3

Since the lines are parallel, we can write the slope of the green line as same as that of the red line.

Therefore, the slope of the red line will be {m} = - 4/3.

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Answer:

x=1,y=-2

Step-by-step explanation:

9514 1404 393

Answer:

  (a) 11·10^21

Step-by-step explanation:

"Scientific notation" has a mantissa that has one digit to the left of the decimal point. The number 11·10^21 has two digits to the left of the decimal point, so is not in the form required by scientific notation.

  11·10^21 is not in scientific notation

_____

It would be correctly written in scientific notation as as 1.1·10^22.

Answer:

A) 11 ⋅ 10^21

Answer:

232

Step-by-step explanation:

Answer:

6 more times

Step-by-step explanation:

trust :)

9514 1404 393

Answer:

  B. Draw a diagram.

Step-by-step explanation:

Most construction starts with a diagram.

_____

Additional comment

You may actually start by finding a pattern you like, then figuring the material required to construct the pattern, then working backward to determine the dimensions you need to use to stay within your material budget. You will probably draw a diagram at many points in the planning process.

Answer:

ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그

Step-by-step explanation:

너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ

Hi this is the answer and explaination

I'm sorry if it's incorrect

hope's it's help

The circumcenter of a circle with a radius of 7 cm is, 44cm.

Circumference is the distance around the perimeter of a circular object. It is defined as the length of the circle that is found by multiplying the diameter of the circle by π (pi), which is approximately equal to 3.14.

The formula for the circumference of a circle is given by: C = 2πr,

Given that,

The radius of circle = 7 cm

Substituting the given value of radius as 7 and using pi = 3.14,

we get:

Circumference = 2 × 3.14 × 7

                         = 43.96

Rounding this to the nearest whole centimeter, we get:

Circumference ≈ 44

Therefore, the circumference of the circle with a radius of 7 centimeters is approximately 44 centimeters.

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Answer:

No pictures so can't help ya.

a) x = -2 y = -1 so (-2,-1)

Answer:

(- 2, - 1 ) and (- 3, 0 ) , (- 1, 0 )

Step-by-step explanation:

(a)

The coordinates of the turning point ( vertex ) = (- 2, - 1 )

(b)

The roots are where the graph crosses the x- axis , that is

(- 3, 0 ) and (- 1, 0 )

Answer: 1.2

Step-by-step explanation:

12/16 = 0.75

0.75 X 4/3 = 1

1/ (5/6) = 1.2

Answer:

I believe it is 1.2

Step-by-step explanation:

12/16x4/3

12x4=48

16x3=48

48/48=1

1 divided by 5/6=1.2

hope this helps :)

Answer:

3^18

Step-by-step explanation:

Hope it helps

Answer:

3^3

Step-by-step explanation:

Answer:

[tex]x + 7 < 10 \\ x < 10 - 7 \\ x < 3[/tex]