determine the equation of the line given by the graph.

a) y=2/3x -1
b) y=3/2x -1
c) y= -2/3x -1
d) y= -3/2x -1

Answer:

6 : 12

Step-by-step explanation:

sum the parts of the ratio, 1 + 2 = 3 parts

Divide by 3 to find the value of one part of the ratio

18 ÷ 3 = 6 ← value of 1 part of the ratio, thus

2 parts = 2 × 6 = 12

1 : 2 = 6 : 12

The number 18 splitted into a ratio of 1 : 2 is 12 and 6.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Slitting in the ratio 1 : 2 can be done in this manner,

{1/(1+2)]×18.

= (1/3)×18.

= 6.

And,

{2/(1+2)]×18.

(2/3)×18.

= 12.

learn more about proportion here :

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Answer: 610 miles per hour. Your welcome. :)

Answer:

Step-by-step explanation:

15:60

your ratio would be a 1:4

15  18  21  27

60  72  84  108

Answer:1560

Step-by-step explanation: i just copied the other guy

Answer:

Your answer would be 6, -4, and 3

Step-by-step explanation:

The roots of the original polynomial equation are 6, -4 and 3

The polynomial equation is given as:

P(x) = (x - 6)(x + 4)(x - 3)

Set the polynomial to 0

(x - 6)(x + 4)(x - 3) = 0

Split the equation

(x - 6) = 0, (x + 4) = 0 and (x - 3) = 0

Solve for x in each split

x = 6, x = -4 and x = 3

Hence, the roots of the original polynomial equation are 6, -4 and 3

Read more about polynomial equation at:

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Answer:

x^2+y^2-32x+24y+375=0

Step-by-step explanation:

Equation of circle with given centre (h,k) and radius=r is

(x-h)^2+(y-k)^2=r^2

Given centre are=(16, - 12) and radius= 5

So equation of circle=

(x-16)^2+(y- -12)^2=5^2

x^2-32x+256+y^2+24y+144=25

x^2+y^2-32x+24y+375=0

Answer

Answer:

The answer is D.

Step-by-step explanation:

hope this helps

Answer:

The answer is 120 degrees.

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

2 + 5 • (-9) - 4 • 3 + 6 • 7

~Multiply

2 - 45 - 4 * 3 + 6 * 7

~Multiply

2 - 45 - 12 + 6 * 7

~Multiply

2 - 45 - 12 + 42

~Subtract

-43 - 12 + 42

~Subtract

-55 + 42

~Add

-13

Best of Luck!

Answer:

-13

Step-by-step explanation:

Solution : -13

Answer:

i think it could be a 12 percent change in decrease, aka 0.12

Step-by-step explanation:

 :) have a good day

Step-by-step explanation:

let eqn be y = mx + b.

3y = x - 15

y = 1/3x - 5

perpendicular means product of grad = -1

hence m = -3.

sun (8, 0):

8 = -3(0) + b

b = 8

therefore, equation if the line is y = -3x + 8

Topic: coordinate geometry

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

Answer:

48.5

Step-by-step explanation:

Please mark B R A I N L I E S T

Answer:

I need the graph

Step-by-step explanation:

Answer:

The answer is

[tex] \huge \frac{2}{3} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ [/tex]

From the question we have

[tex]m = \frac{10 - 6}{4 - - 2} = \frac{4}{4 + 2} = \frac{4}{6} = \frac{2}{3} \\ [/tex]

We have the final answer as

[tex] \frac{2}{3} \\ [/tex]

Hope this helps you

Answer:

33.2 mpg

Step-by-step explanation:

Answer:

5% increase

Step-by-step explanation:

last Summer was 20° , this Summer is 21° so is 1° more so the question is what is the increase 1° of 20

20° is to 100% as

   1° is to ?%

cross multiply

?% *20 =1*100

divide by 20 both sides

?%= 100/20 = 5

Answer: -21/8 to 2 5/8

Step-by-step explanation:

Answer:

he uses 23 balloons for every 28 events.

Answer:

B ≤ 3.7

Step-by-step explanation:

Total money with Alonso = $21

Cost of Eggs = $2.50

Cost of Avocados in bags of 3 = $5

Let

B = number of bags of avocados that Alonso buys.

The inequality is:

Cost of Eggs + Cost of Avocados in bags of 3 ≤ Total money with Alonso

2.50 + 5B ≤ 21

5B ≤ 21 - 2.50

5B ≤ 18.5

B ≤ 18.5/5

B ≤ 3.7

The number of bags of avocados Alonso bought can be represented by B ≤ 3.7

Answer:

1) The inequality that describes this scenario is 2.50+5B≤21

2) Alonso can afford at most 9 avocados.

Answer:

The missing x = 0.675 m

Step-by-step explanation:

In similar triangles, the corresponding sides are proportion (means their ratios are equal)

In the given figure

∵ The two triangles are similar

∴ Their corresponding sides are proportion

∵ The sides of lengths 1.8 m and x are corresponding sides

∵ The sides of lengths 8.0 m and 3.0 are corresponding sides

∴ [tex]\frac{1.8}{x}[/tex] = [tex]\frac{8.0}{3.0}[/tex]

→ By using cross multiplication

∴ x × 8.0 = 1.8 × 3.0

∴ 8x = 5.4

→ Divide both sides by 8

∵ [tex]\frac{8x}{8}[/tex] = [tex]\frac{5.4}{8}[/tex]

∴ x = 0.675

→ No rounding because there is no digit after the thousandth digit

∴ x = 0.675 m

Answer:

360

Step-by-step explanation:

-6×2×-2×-5×-3

-6×-4×15

24×15

360

Answer:

The -3 would become positive.

Step-by-step explanation:

When reflecting over the x or y-axis, the x-coordinate and y-coordinate will always flip to it's opposite.

2 will become -2

-3 will become 3

Answer:

prove it by S.S.S axiom bro

Step-by-step explanation:

statement                                reason

1.in triangle ADB and ADC

a. AB=AC                                    a.given

b.BD=CD                                     b. radii of same circle

c. AD=AD                                      c. common side

2. ∵triangle ADB is congurent to 2. by S.S.S axiom

  ADC

Answer:

AD cuts BC at I => I is the midpoint of BC => BI = CI

ΔAIB and ΔAIC have:

AB = AC

BI = CI

m∠ABC = m∠ACB ( because ΔABC is a  isosceles triangle)

=> ΔAIB ≅ ΔAIC (sas)

=> m∠BAD = m∠CAD

ΔADB and ΔADC have:

m∠BAD = m∠CAD

AB = AC

AD is the common edge

=> ΔADB ≅ ΔADC (sas)

Step-by-step explanation:

Answer:

5922=Px6.3%x20

5922=Px1.26

P=5922/1.26

P=4700

Step-by-step explanation:

Answer:

The answer is 25.12.

Step-by-step explanation:

3.14 * 8 = 25.12

Answer:

17

Step-by-step explanation:

but not for sure

Answer:

Step-by-step explanation:

i can't see teh prob

Answer:

Less than 7 is the correct answer

Answer: 2

Step-by-step explanation: