A map has a scale of 5 in. = 15 mi. If you measured the distance between two cities to be 26 in. On the map, how many miles would it actually be? If necessary, round your answer to the nearest tenth.

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Answer:

Option 3  (lower left)

Step-by-step explanation:

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Answer:

A. 5.25

Step-by-step explanation:

4.5 + 6 = 10.5

15.75 - 10.5 = 5.25

4.5 + 6 + 5.25 = 15.75

Answer:

0.615

Step-by-step explanation:

Just round up.

Answer:

y = 4x + 57

Step-by-step explanation:

y = 4x + b

9 = 4(-12) + b

9 = -48 + b

57 = b

y = 4x + 57

Answer:

$50,000

Step-by-step explanation:

We have an average of 10 livestock units per hectare

The number of units in 250 hectares will be;

250 * 10 = 2,500 units

Amount earned per unit is $20 per year

So, for 2,500 units, we have

2500 * $20 = $50,000

Answer:

x^2+6x+9

Step-by-step explanation:

expand the expression

20

Is the answer because it is going up 3,4,5,6,7

Answer:

20

Step-by-step explanation:

The number being added is increased by 1.

2+3 = 5

5+4 = 9

9+5 = 14

14+6 = 20

20+7 = 27

Answer:

7%

Step-by-step explanation:

Out of the 75 people who ordered a hot drink, only 5 ordered a small.

5/75 = 0.066 or 7%

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

x = y = [tex]\sqrt{7\\}[/tex]

Step-by-step explanation:

[tex]\sqrt{7} ^{2} + \sqrt{7} ^{2} = \sqrt{14}^{2}\\7 + 7 = 14[/tex]

Answer:

1.3845  

Step-by-step explanation:

i used this formula in the screenshot

and you can also try using calculator websites

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.

So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.

The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.

I always forget supplementary vs complementary, but a little bit of practice will help a lot.

Answer:

step-by-step-explaination:

y=2.2

Answer:

Measure of segment JL is 20 cm.

Step-by-step explanation:

By applying geometric mean theorem in the given right triangle,

[tex]\frac{JM}{KM}=\frac{KM}{ML}[/tex]

[tex](KM)^2=(LM)(ML)[/tex]

[tex]8^2=(JM)(4)[/tex]

[tex]JM=\frac{64}{4}[/tex]

[tex]JM=16[/tex]

Since, [tex]JL=JM+ML[/tex] [By segment addition postulate]

[tex]JL=16+4[/tex]

[tex]JL=20[/tex] cm

Therefore, measure of segment JL is 20 cm.

Answer:

Shirt : Pant = 2 : 3 ,  & Pant : Shirt = 3 : 2 , Linear model can be used.

Step-by-step explanation:

Ratio of ' Number of shirts sold : Number of items sold' = 2 : 5

Let the common ratio be = x

Then, number of shirts sold = 2x. And, number of total items sold = 5x.

So, number of pants sold = Number of items sold - number of shirts sold = 5x - 2x = 3x

So, shirt to pant ratio = 2x / 3x = 2 : 3 .And,  pant to shirt ratio = 3 : 2

This model can be shown in linear equation, as all are linear powered.

Answer:

x=15°

Step-by-step explanation:

We can see angle 6x-5 has a corresponding angle above it, which is congruent to it. That angle is supplementary with angle 7x-10. We can tell because it forms a straight angle with it. Supplementary angles add to 180°.

(7x-10)+(6x-5)=180

7x-10+6x-5=180

13x-15=180

13x=195

x=15

Answer:

Step-by-step explanation:

Answer:

volume = 684π m³ or 2148.85 m³

Step-by-step explanation:

volume = (π6² x 11) + (4/3π6³) = 396π + 288π = 684π m³ or 2148.85 m³

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

Answer:

I think it's D

I don't know tho

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

x = 9.7    y = 11.4

Step-by-step explanation:

tan 45 = x/6

x = tan 45 (6)

= 9.7

c² = a² + b²

c² = 9.7² + 6²

= 94.09 + 36

= 130.09

= 11.4