b) Draw the graph of y = 3x - 1
on the grid.

Answer:

The height of the trapezoid is 6.63 units

The perimeter of the trapezoid is 38 units

Step-by-step explanation:

Whenever a geometry problem is given, it is often useful if it is sketched out. A sketch of this problem can be found in the image attached.

A)

We can see that a right-angled triangle is formed between points BED, with line BE being the height, h.

To get the dimensions of the line EB, we subtract the dimensions of DC from AB. This will give 15 -5 = 10

hence the dimensions of the righ angled triangle are

DE= h

DB = 12 (diagonal)

EB = 10

From Pythagoras' theorem,

[tex]h =\sqrt{12^2 -10^2}=6.63[/tex]

The height of the trapezoid is 6.63

B)

We can get the perimeter of the trapezoid by adding the dimensions of all four sides together.

This will be

AD + DC + CB + AB

However we can assume for this case that it is a symmetrical trapezoid, and hence AD = CB

Thus, perimeter =

2 (AD) + DC +AB

2(9) +5 +15 = 38.

The perimeter of the trapezoid is 38 units

Answer:

9 runners

Step-by-step explanation:

Number of runners who started race = 45

Fraction that dropped off in the first half =. 2/3

Fraction of the remaining that dropped of in the second half = 2/5

Number of runners who dropped off in the first half :

(2/3) * 45 = (2 * 45) / 3 = 90 /3 = 30 runners

Runners left = (45 - 30) = 15

Number who dropped off in the second half :

(2/5) * 15 = (2 * 15) / 5 = 30 /5 = 6 runners

Number of runners who finished the race :

(15 - 6) = 9 runners

Answer:

Step-by-step explanation: Air masses are given a two-part name that describes the humidity and temperature characteristics of the region where they form

Answer:

Air masses have fairly uniform temperature and moisture content in horizontal direction (but not uniform in vertical).

Step-by-step explanation:

Looked it up

Answer:

Number of miles is either less than 8255.25 or greater than 17255.25.

Step-by-step explanation:

Given that :

Difference in mileage of the sedan and minivan is > 4500

Mikeage of minivan = 12755.25

Possible number of miles on the sedan :

Mileage on minvan ± difference in mileage ;

12755.25 ± 4500

12755.25 + 4500 = 17255.25

12755.25 - 4500 = 8255.25

This means that the possible number of miles on the sedan is either greater than 17255.25 OR less Than 8255.25

Answer:

slope: -2

Step-by-step explanation:

Answer:

[-2, infinite)

Step-by-step explanation:

range of the graph will be [-2, positive infinite)

Answer:

Step-by-step explanation:

Step 1: Identify the coordinates of each vertex. Step 2: Add all the x values from the three vertices coordinates and divide by 3. Step 3: Add all the y values from the three vertices coordinates and divide by 3. Step 4: Determine the centroid coordinate.

Answer:

hii

Step-by-step explanation:

Answer:

I choose 1 and multiplied by 3 and then by 4 so that is 7. 7squared is 49

Answer:

(3x+4)(3x-4)

Step-by-step explanation:

3 * x= 3x

3x + 4

(3x+4)(3x-4)

Answer:

the third one

Step-by-step explanation:

Answer:

f(x) = -x + 2x + 5

is odd since f(x) = -5

f(x) = x + 8x

is neither because f(x) = 0

f(x) = -7x² + 5

is odd since f(x) = √5/7

f(x) = 5x + 3x? – 7x + 1

is odd

Answer:

x=0.469396

Step-by-step explanation:

x−(−3x3−x2+1)=−3x3−x2+1−(−3x3−x2+1)

3x3+x2+x−1=0

Step 2: Use cubic formula.

x=0.469396

3.100089999. This is is the answer

Answer:

3,100,089,999,998

Step-by-step explanation:

Hope this helped

Answer:

x=4

Step-by-step explanation:

2x+3x+1=21

(2x+3x)+(1)=21

5x+1=21

5x+1=21

Step 2: Subtract 1 from both sides.

5x+1−1=21−1

5x=20

Step 3: Divide both sides by 5.

Answer:

x=4

Step-by-step explanation:

2x+3x+1=21

Simplify both sides of the equation.

2x+3x+1=21

(2x+3x)+(1)=21(Combine Like Terms)

5x+1=21

5x+1=21

Subtract 1 from both sides.

5x+1−1=21−1

5x=20

Divide both sides by 5.

5x /5 = 20 /5

x=4

Answer:

.60 I think

I hope you get it right

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

Answer:

[tex]Area = 34.2cm^2[/tex]

Step-by-step explanation:

Let the three sides be a, b and c respectively.

Such that:

[tex]a = 8[/tex]

[tex]b = 9[/tex]

[tex]c= 10[/tex]

Required

Determine the area

This is calculated as:

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

Where

[tex]s = \frac{1}{2}(a + b + c)[/tex]

Substitute values for a, b and c

[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]

[tex]s = \frac{1}{2}(27)[/tex]

[tex]s = 13.5[/tex]

Substitute values for a, b, c and s in

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]

[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]

[tex]Area = \sqrt{1169.4375[/tex]

[tex]Area = 34.2[/tex] -- Approximated

Answer:

x = 10

Step-by-step explanation:

2(1/2(5x) - 15 = 10)

5x - 30 = 20

5x = 50

divide by 5

x = 10

Answer:

1. 2m - n + 2

Step-by-step explanation:

12×4m - 12×2n + 12×4. ( because 12 is multipled by whole bracket)

48m - 24n + 48.

2m - n + 2. (by finding common factor 24)

Answer:

2x-9y=-27

Step-by-step explanation:

hope this helps. :)

Answer:

yeah i think they are all right :)

Step-by-step explanation:

Answer:

x + 3 with the remainder of -9

Step-by-step explanation:

       ___x__+__3_____

x + 4 | X^2 + 7x + 3

          - (x^2 + 4x)

                       3x + 3

                      -(3x + 12)

                                -9

So the answer is x + 3 with the remainder of -9

8/10 = 0.8

Therefore, 0.8 (8/10) is put on the number line shown below.

Answer:

-4.515

Step-by-step explanation:

3.5 times 5.8 is 20.3 and then 3.5 times -7.09 is -24.815 added together to get -4.815 so technically its none of those but they might have miss typed so i think probably -4.515

Answer:

When you do not have a graph paper

or

one of the equations has an isolated variable

or

when the equations are not in slope intercept form