Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}

Answer:

Step-by-step explanation:

Since it is a regular hexagon, the length of its sides are equal. And same as the distance across its flats.

So that;

NR ≅ OP (property of a regular polygon)

PM ≅ RM (half of the distance across flats of a polygon)

NM ≅ OM (half of the distance across flats of a polygon)

<NMR ≅ <PMO (vertically opposite angles)

<NRM ≅ <OPM (alternate angle property)

<RNM ≅ <POM (alternate angle property)

This therefore proves that: ΔNRM = ΔOPM

The volume of a cube with a side length of 7 inches is 343 cubic inches.

To find the volume of a cube with a side length of 7 inches, we can use the formula [tex]V = s^3[/tex], where V represents the volume and s represents the side length.

Substituting the given side length into the formula, we have:

[tex]V = 7^3[/tex]

To simplify the expression, we raise 7 to the power of 3, which means multiplying 7 by itself three times:

V = 7 * 7 * 7

V = 343 cubic inches

Therefore, the volume of a cube with a side length of 7 inches is 343 cubic inches.

The complete question is

The formula V = s3 gives the volume V of a cube with side length s. The volume of a cube that has a side length of 7 inches is equal to ____.

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Answer:

letter D

Step-by-step explanation:

2

x

2

−

5

x

−

12

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

2

⋅

−

12

=

−

24

and,

N

1

+

N

2

=

b

=

−

5

After trying out a few numbers we get:

N

1

=

−

8

and

N

2

=

3

3

⋅

(

−

8

)

=

−

24

, and

3

+

(

−

8

)

=

−

5

2

x

2

−

5

x

−

12

=

2

x

2

−

8

x

+

3

x

−

12

=

2

x

(

x

−

4

)

+

3

(

x

−

4

)

(

x

−

4

)

is a common factor to each of the terms

=

(

2

x

+

3

)

(

x

−

4

)

Answer:

a see below for explanation

Step-by-step explanation:

2x^2 + 8x - 3x - 12

2x^2 +5x - 12

Given:

The figure of a triangular prism.

To find:

The surface area of the triangular prism.

Solution:

We know that, a triangular prism contains 2 congruent triangular surface and 3 rectangular surface.

Triangles have base 3 ft and height 2 ft.

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

[tex]A_1=\dfrac{1}{2}\times (3)\times (2)[/tex]

[tex]A_1=3[/tex]

Area of congruent triangles are congruent. So,

[tex]A_1=A_2=3\text{ sq. units}[/tex]

Now the three rectangular surface have dimensions 10 by 3, 10 by 3 and 10 by 3 because the triangles are equilateral and the length of the prism is 10 ft.

Area of a rectangle is

[tex]Area=Length\times width[/tex]

[tex]A_3=10\times 3[/tex]

[tex]A_3=30[/tex]

Dimensions of all three rectangles are same, therefore there areas are equal.

[tex]A_3=A_4=A_5=30[/tex]

Now, the total surface area of the prism is

[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]

[tex]A=3+3+30+30+30[/tex]

[tex]A=96[/tex]

Therefore, the total surface area of the prism is 96 sq. ft.

Answer:

height of b = 280

Step-by-step explanation:

candle b has a height of 280 - 5t, when it comes out of the mold then t=0 so the initial height of b is 280

candle b's height drops by 5 every hour (that's what the -5t part means)

candle a started at 216 and dropped to 192 in 3 hours, so it dropped by 24 in 3 hours so it drops 8 each hour

so candle b starts out taller (280 v. 216) and candle b burns slower (a at 8 per hour and b at 5 per hour), so b will never 'catch up' with a... candle a will be burned out while candle b is still burning

Answer: X= 1 2 3 4  Y= 5 8 11  14

Step-by-step explanation: i tried my best

Answer:

You are 8 hours apart and it would be 6am for them

Step-by-step explanation:

You guys are 8 hours apart because thats the hour difference, so you add 8 to 10pm getting 6am

Answer:

You are 8 hours apart

Step-by-step explanation:

If it was 10pm for you it would be 6 am for him

Answer:

For A, 3/7 greater than a whole

For B, 1/5 greater than a whole

For C, 1/3 greater than a whole

Step-by-step explanation:

Subtract the number on the left from the number on the right. then put what you get over the number on the right

Answer:

Step-by-step explanation:

A) 10/7 - 1 = 10/7 - 7/7 = 3/7

10/7 is 3/7 greater than a whole.

B) 6/5 - 1 = 6/5 - 5/5 = 1/5

6/5 is 1/5 greater than a whole.

C) 4/3 -1 = 4/3 - 3/3 = 1/3

4/3 is 1/3 greater than a whole.

Answer:

23

Step-by-step explanation:

The number of car are in the y-intercept line so just add each one of the for every different bar.

3 + 4 + 5 + 6 + 3 + 2 = 23

So there are 23 vehicles in total.

The number of vehicles are at Nam's Gas Station is 23

Since The number of cars are in the y-intercept line

So here the no of vehicles should be

= 3 + 4 + 5 + 6 + 3 + 2

= 23

Here we added according to the given graph

Therefore, we can conclude that The number of vehicles are at Nam's Gas Station is 23

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Answer:

11+11+11+11=44

Do I have to use different numbers?

10+14+12+8=44

Answer:

B: 3

Step-by-step explanation:

2x

x=3 3times2= 6

6+4 =10

Hope this helps

Answer:

Its C

Step-by-step explanation:

The y starts at negative 3 and it is going up by 1 and over 2

Hope this Helped

Answer:

C. y = 1/2x - 3

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

2

y-intercept:  

(

0

,

−

3

)

x

y

0

−

3

6

0

Answer:

5/9

5 to 9

5:9

hope this helps <3

Answer:

5/9,

5:9,

and 5 to 9

Answer:

x^2-3x+36

Step-by-step explanation:

Answer:

x=all real numbers

y=all real numbers

Step-by-step explanation:

x=-5y-1

-3(-5y-1)-15y=3

15y+3-15y=3

3=3

therefore the answer is all real numbers

Answer:

9.75 mph

Step-by-step explanation:

3 1/4 ÷ 1/3 = 9 3/4

Answer:

16

Step-by-step explanation:

180 is a straight line.

x is among that line so you must subtract the angles you know from 180.

180-54-38= 16

Answer:

2/5

Step-by-step explanation:

Answer:

10 : 4, 15 : 6, 20 : 8,

Step-by-step explanation:

increase the first number by 5 then add two to the second number

Answer:

breakdown the initial figure into 2 rectangle

and add their area

9514 1404 393

Answer:

  D. 12

Step-by-step explanation:

There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

Using the two upper-left points, we find the length of that side to be ...

  d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2

Similarly, the length of the lower-left side is ...

  d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2

Then the area of the rectangle is ...

  A = LW

  A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12

The area of rectangle ABCD is 12.

_____

Other methods include subtracting the area of the corner triangles from the area of the bounding square:

  5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12

Answer:

Mode of the given frequency is 6 as it is occurring frequently

Answer:

30

Step-by-step explanation:

formula :15÷100×200

Answer:

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 4mm, Height of 4mm, Width of 10mm192mm^2

Base of 5mm, Height of 6mm, Width of 7mm214mm^2

Base of 6mm, Height of 3mm, Width of 2mm72mm^2

7mmLittle over 1/4 Inch0.27559 Inches

The total surface area is 124 square millimeters.

To find the surface area of any kind of prism we use the general formula. The total surface area of a prism is the sum of lateral surface area and area of two flat bases.

The total surface area of a Prism = (2 × Base Area) + (Base perimeter × Length).

Here, area of base is Area=2(Base×Height)

= 2(6×4)

= 12 square millimeters

Now, Base perimeter × Length= (5+5+6)×7

= 16×7

= 112 square millimeters

Total area = 12+112

= 124 square millimeters

Therefore, the total surface area is 124 square millimeters.

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Step-by-step explanation: i am pretty sure it is 1

Answer:

obtuse triangle

Step-by-step explanation:

Answer:

It is a obtuse scalene triangle.

Step-by-step explanation:

Equilateral: all three sides are equal

Isosceles: two sides are equal

Scalene: no sides are equal to each other

If a squared + b squared = c squared it is a right triangle

If a squared + b squared is less than c squared it is a obtuse triangle.

If a squared + b squared is more than c squared it is a acute triangle.