The distance between the points P(–7, 2) and Q(5, –3) is
A. 12 units
B. 13 units
C. 11 units
D. 10 units

Answer:

y=0.1(3)^x

Step-by-step explanation:

hope it helps you..

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Answer:

1550 mL

Step-by-step explanation:

Total capacity of water = 4 Litre

4 L = 4 * 1000 mL = 4000 mL

200mL cups filled = 1 ; 200 mL

750mL cups filled = 3 ; 750 * 3 = 2250 mL

Total = (200 + 2250) mL = 2450 mL

Water left in filter :

(4000 - 2450) mL = 1550 mL

Answer:

27 pages in 1 hour

Step-by-step explanation:

9*3 = 27

[tex]\sqrt[6]{5}[/tex]

Hope This Helps You!

Good Luck Studying ^-^

Answer:

Area = 18 square units

Step-by-step explanation:

Given

[tex]A =(2,-1)[/tex] --- [tex](x_1,y_1)[/tex]

[tex]B =(5,6)[/tex] --- [tex](x_2,y_2)[/tex]

[tex]C = (-1,4)[/tex] --- [tex](x_3,y_3)[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = \frac{1}{2}|x_1(y_2 - y_3) + x_2(y_3 - y_1) +x_3(y_1 - y_2)|[/tex]

[tex]Area = \frac{1}{2} * |2(6 - 4) + 5(4 - -1) -1(-1 -6)|[/tex]

[tex]Area = \frac{1}{2} * |2*2 + 5*5 -1*-7|[/tex]

[tex]Area = \frac{1}{2} * |36|[/tex]

[tex]Area = \frac{1}{2} * 36[/tex]

Area = 18 square units

Answer:

1) (x + 12)²+(y+6)²= 28

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√28

h=-12

k=-6

;.centre=(-12,-6)

radius =√28 units

2) x²+(y+7)²=15

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√15

h=0

k=-7

;.centre=(0,-7)

radius=√15 units

3) (x + 4)²+(y - 1)² = 4

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√4=2units

h=-4

k=1

;.centre=(-4,1)

radius=√2units

4) (x+3)²+(y-1)²= 8

comparing above equation with(x-h)²+(y-k)²=r²

we get

r=√8=2√2units

h=-3

k=1

;.centre=(-3,1)

radius=2√2units

Answer:

x=45

Step-by-step explanation:

First, this figure takes place half of the circle. So we are dealing with a semi circle.

Angle C is inscribed angle in the semi circle. A semi circle measure 180 degrees. Since Angle C is inscribed, It measures 90 degrees.

This theorem proves this

If an angle is inscribed in a semicircle, it will be half the measure of a semicircle (180 degrees), therefore measuring 90 degrees.

Solve for x

[tex]2x = 90[/tex]

[tex]x = 45[/tex]

Answer:

10.110 km

Step-by-step explanation:

1000 meter = 1 kilometre

Since we are to provide the answer in kilometres, we have to convert the meters to kilometres

1685 m = 1685/1000 = 1.685km

Total kilometres swan by the 6 members =  1.685km x 6 = 10.110 km

Method 2

1.685km +  1.685km +  1.685km +  1.685km +  1.685km +  1.685km = 10.110km

Answer:       0.3

Step-by-step explanation:        I took the test

Answer:

The coefficient is 3.

Step-by-step explanation:

The coefficient is always the number next to the unknown or in this case, x

Answer:

63

Step-by-step explanation:

if 2 inches = 7 feet and the model plane is 1.5 feet, and that is 18 inches 18/2*7=63

1 inch is =12.

Answer:

In the first rectangle,

one side =15*1=15

other side = 15* 3=45

in the second rectangle,

one side = 25*1=25

other side= 25*3=75

Step-by-step explanation:

Answer:

2.28%

Step-by-step explanation:

Given that:

µ = 40 minutes ; σ = 3.5.

x = > 47 minutes

Obtain the standardized score, Z

Zscore = (x - μ) / σ

P(x > 47) = (47 - 40) / 3.5

P(x > 47) = 7 / 3.5

P(x > 47) = 2

P(z > 2) = 0.02275

Hence, Probability that next pizza delivery takes over 47 minutes is 0.02275 = 2.275% = 2.28%

Final Answer is: 2.28%

I got it right when I did it! :)

Answer:

A

Step-by-step explanation:

We have to determine the future value of the annuity to determine which account has a greater value

Future value = Amount x annuity factor

annuity factor = Annuity factor = {[(1+r)^n] - 1} / r

Account A = 300 x[ (1.042)^15 - 1 ] / 0.042 = $6097.14

Account B = 250  x[ (1.051)^15 - 1 ] / 0.051 = $5435,42

Account A will be greater

Answer:

22) 20000000

23) 0.034

24) 0.0000000015

25) 59000000000

26) 0.0048

27) 625000

Step-by-step explanation:

Answer:

A for the first one, B for the second one, and i think B for the third.

Step-by-step explanation:

Answer

KK

Step-by-step explanation:

1/3+2/3 so first u do 1+2=3 and u dont add 3+3 so there for it would be 3/3 or 1.

Answer:

The four cats ate 1 cup of food all together.

Step-by-step explanation:

1/3 + 2/3 = 3/3

3/3 as a simplified fraction is 1.

Answer:

3. PR=51

4. FE=28

Step-by-step explanation:

3. since the two triangles are similar, set up a proportion:

x+8/3x-9=24/28

*cross multiply*:

28(x+8)=24(3x-9)

28x+224=72x-216

44x=440

x=20

to find PR:

PR=3x-9

PR=3(20)-9

PR=51

4. same here:

39/4x+2=42/5x-2

39(5x-2)=42(4x+2)

195x-78=168x+84

27x=162

x=6

to find FE:

FE=5x-2

FE=5(6)-2

FE=28

Answer:

$900

Step-by-step explanation:

the steps are above

Answer:

x = ±4.5

Step-by-step explanation:

4x² - 15 = 66

Add 15 to both sides.

4x² = 81

Divide both sides by 4.

x² = 20.25

Take the square root of both sides.

x = ±4.5

Hope this helps!

Answer:

$11.5

Step-by-step explanation:

Subtract 30 from 64.50 to get rid of the cost of shirts. (3 shirts costing 10 dollars) to get 34.50. DIvide 34.50 by 3 for the number of shorts. Your final answer is 11.5

[tex]x(x-1)-y(y-1)=0\\x^2-x-y^2+y=0\\[/tex]

The graph is a x.

Answer:

the answer is c.840

Step-by-step explanation:

you multiply 15 4 times and multiply it with 14 that would give us 840

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The point-slope form of equation where m is the slope and passing the point (x₀,y₀) is:  y - y₀ = m(x - x₀)  

m = -2

(7, 10)     ⇒    x₀ = 7,    y₀ = 10

y - 10 = -2(x - 7)

Step-by-step explanation:

step 1. 10x/y - x when x = 4, y = 8

step 2. 10(4)/8 - 4

step 3. 40/8- 4

step 4. 5 - 4

step 5. answer: 1

Hi, I believe this should be correct. The way the boxes are phrased is very misleading.