A drawing of a shape that is proportional to another is called

Doomtown is 300 miles due west of Sagebrush and Joshua is due west of Doomtown. At 9 a.m. Mr. Archer leaves Sagebrush for Joshua

e-lub [12.9K]

Refer to the diagram shown below.

Let the distance that Sassoon travels is d miles.
Let his average speed be x mph.
The time of travel is from 1 p.m. to 4 p.m., which is 3 hours.
Therefore
3x = d (1)

The distance that Archer travels is (d + 300) miles.
The time of travel is from 9 a.m. to 4 p.m., which is 7 hours.
The average traveling speed is (x + 20) mph, therefore
7(x + 20) = d + 300
That is,
7x + 140 = d + 300
7x = d + 160 (2)

Subtract (1) from (2).
7x - 3x = d + 160 - d
4x = 160
x = 40 mph (Sassoon's average speed)
x+20 = 60 mph (Archer's average speed)
From (1), obtain d = 120 mi

Answer:
Archer's speed is 60 mph.
Sassoon's speed is 40 mph.

8 0

3 years ago

Two number that are equivalent to 0.20 and 0.30

Aliun [14]

Answer:

0.20 = 1/5 or 20%

0.30 = 3/10 or 30%

7 0

4 years ago

AB is tangent to circle O at A. The diagram is not drawn to scale. if AO=21 and BC=14, what is AB?

barxatty [35]

Ab would equal to 7 using tringle steps

7 0

3 years ago

Read 2 more answers

Part 1: Linear Systems and Line Segments

Nataly_w [17]

Answer:

y=8(x−8)(x+0.5)

Step-by-step explanation:

Part 1: Linear Systems and Line Segments

Create and attach a 1 page ‘cheat’ sheet for the Linear Systems Unit.

Solve each system by graphing:

y = x+2, y = 4-1

2x – y + 9 = 0, x + y – 3 = 0

Solve by substitution:

x – 2y = 4, 2x – 3y = 7

Solve by elimination:

3x + 8y = -3, x + 8y = -5

4x – 5y = -22, 5x +6y = -3

Find the length of the line segment joining each pair of points. (Express to nearest 10th of a unit)

(2,5) and (5,7)

(-1, -3) and (-2, -4)

Find the midpoint of each line segment.

M (-2, 2), P (4, 8)

A (3, 3), J (-9, 3)

The Midpoint of AB is M(-2, 1). IF A(-7, 3), what are the coordinates of B?

Page Break

Part 2: Trigonometry

Create and attach a 1 page ‘cheat’ sheet for the Trigonometry Unit.

Solve each right triangle:

Shape E

Shape F 62⁰ D

150 cm

ShapeText BoxA

Shape15⁰

ShapeB C

Page Break

Solve each triangle:

Shape L

58⁰

56⁰

M 19 cm N

ShapeJ

58⁰

18 mm 15 mm

K L

Khalid wants to be sure his boat is safely anchored. He knows that the angle of depression that the boat makes with the horizontal when anchored should be less than 12⁰. The boat is 100 m above the seabed and the anchor cable is 440 m long. Is Khalid safely anchored? Explain.

Part 3: Polynomials

Create and attach a 1 page ‘cheat’ sheet for the Polynomial Unit.

Simplify

(4x - 3) + (5x+4)

(2x2 – 3x + 4) – (x2 + 4x - 1)

(-6x3 yz2 )(-2xy2 z)

Factor, if possible

7x + 42

X2 + 7x + 12

3x2 = 12x = 9

X2 + 9

5x2 – 20x + 20

Page Break

Part 4: Quadratics

Create and attach a 1 page ‘cheat’ sheet for the Quadratics Unit.

Graph the data and write the relation in the form of

y=a(x−h)2

y=ax−h2

X

Y

-6

32

-5

18

-4

8

-3

2

-2

0

-1

2

Graph the data and write the relation in the form of

y=a(x−h)2

y=ax−h2

X

Y

-1

-8

0

-4.5

1

-2

2

-0.5

3

0

4

-0.5

Graph the relation by plotting the vertex and 2 other points.

y=(x+1)2−1

y=x+12−1

y=−2(x−6)2+2

y=−2x−62+2

For each, write the relation in standard form:

y=ax2+bx+c

a=2, b=5, y intercept = 11

y=5x2+bx+c

, vertex at (1, 4)

a=−3

, passes through (2, 11) and (0, -5)

Factor:

x2−17x+66

x2−3x−18

x2+13x

x2−9

Find the zeros.

y=(x+3)(x−3)

y=x+3x−3

y=−10x2

y=8(x−8)(x+0.5)

4 0

3 years ago

Which graph indicates decreasing speed?<br> A. Graph c<br> B Graph A <br> c graph F<br> d graph

Bas_tet [7]

I think that it would be option A. Graph C. It shows the line going down from the y-axis to the x-axis, so it would be graph C.

6 0

3 years ago