Use the Pythagorean Theorem to find the distance between points F and C.


What is the distance between (-4,-1) and ( -2,-2)

Answer:

a

Step-by-step explanation:

Answer:

The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

Step-by-step explanation:

Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.

Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.

Substituting L into P, we have

P = 2(L + W)

= 2(2W + 5 + W)

= 2(3W + 5)

= 6W + 5

Since P = 45 feet,

6W + 5 = 45

6W = 45 - 5

6W = 40

W = 40/6

W = 20/3 feet

W = 6²/₃ feet

Since L = 2W + 5, substituting W = 20/3 into L, we have

L = 2W + 5

= 2(20/3) + 5

= 40/3 + 5

taking the L.C.M, we have

= (40 + 15)/3

= 55/3 feet

= 18¹/₃ feet

So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

Step-by-step explanation:

Brian takes = 43 minutes

Colin takes = 1 hour = 60 minutes

In ratio,

43/60

9514 1404 393

Answer:

  (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation:

The equation of a circle with radius r and center at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

  (x -4)^2 +(y -7)^2 = 36

Answer:

x=4 and y=7. did this help

Answer:

-13

Step-by-step explanation:

Well, they do most of the work for you all you have to figure out is what is "1/5(-65)". To do this you have to turn 1/5 into a decimal so 1 divided by 5 which equals 0.2 then multiply that by -65. That will give you your simplified answer of -13.

Answer:

x = 8

Step-by-step explanation:

Base angles of isoceles triangle are equal

5x + 10 = 50

5x = 40

x = 8

Answer:

YeS, it is a solution

Step-by-step explanation:

Here, we want to check if -6 is a solution to the question

What we have to do is to replace x by -6

If what we have on the left equals that on the right, then -6 is a solution

Thus, we have it that;

3(2(-6) -8)

= 3(-12-8)

= 3(-20) = -60

for the right hand side

-4 (15) = -60

This means both sides are equal and that -6 is a solution

Answer:

y = -x - 2

Step-by-step explanation:

y = x +  2        {Compare with y = mx + c}

Slope = m1 = 1

Slope of the line S = m2 = -1/m1 = -1/1 = -1

(-6 , 4)

y -y1 = m (x -x1)

y - 4 = (-1)(x - [-6] )

y -4 = (-1)(x + 6)

y -4 = (-1)*x + (-1) *6

y - 4 = -x - 6

     y = -x - 6 + 4

    y = -x - 2

Answer:

3.4

Step-by-step explanation:

cosx = adj/hyp

cos61° = x/7

x= cos61° * 7

*degree mode

3.39

Answer:

a) y = 1.6x .

b) 197.8 .

Step-by-step explanation:

a) y ( Weight lbs. ), x ( Week ), Constant rate ( 1.6 ) .

b) 1.6 x 16 = 25.6 .

Hope this helps !

Answer:

215.4

Step-by-step explanation:

first u do 223.4 - 221.8 to find how much we losses a week which is 1.6 then u do 218.6 - 1.6 = 217 (week 5) then 217 - 1.6 = 215.4 (week 6)

Answer:

Step-by-step explanation:

each of the 6 number has a 1/6 chance of being rolled

 1       2       3      4      5       6

1/6     1/6    1/6    1/6    1/6    1/6

Every time the cube is rolled  there is a 6/6 chance of any number comes up

1/6  +   1/6  +  1/6 +   1/6 +   1/6  +  1/6   = 6/6     or  1  

What is the probability of NOT rolling a 2? Any other number

 1        2       3        4        5         6

1/6  +   0  +  1/6 +   1/6  +  1/6 +   1/6   =   5/6    or    0.8333

0.03 x 0.6

= (3 x 6) / 1000

= 18 / 1000

0.018

Answer:

1) 9

2) -5

3) 15

4) 100

those are the answers

9514 1404 393

Answer:

Step-by-step explanation:

As in the example, put the value where the variable is and do the arithmetic.

1. 2·7 -5 = 9

2. 5^2 -15 = 10

3. 81/9 +6 = 15

4. 8·13 -4 = 100

Your calculator can do the math.

Answer:

Student B

Step-by-step explanation:

You know because:

The common factor between 3 and 6 is 3.

You can factor 2 x's from both parts and 2 y's.

Therefore, it would be

3x^2y^2.

ANSWER:

(x,y) = (5,-1)

Answer:

(5, -1)

Step-by-step explanation:

Solve the system of equations by elimination.

4x + 3y = 17

3x + 2y = 13

Multiply the top equation by -3 and the bottom equation by 4:

-12x - 9y = -51

12x + 8y = 52

Add these together:

-y = 1

y = -1

Plug in -1 as y into one of the equations, and solve for x:

4x + 3y = 17

4x + 3(-1) = 17

4x - 3 = 17

4x = 20

x = 5

So, the solution is (5, -1)

Answer:

1,344,000

Step-by-step explanation:

since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)

You're Answer: 1,344,000

Answer:

7.5 laps

Step-by-step explanation:

First, you wanna figure out how many yards is in one lap

to do this, you would multiply 100 and 4 (four because there's four equal sides  in one lap)

100 x 4 = 400

You know their speed is 5 yards per second, so you wanna find out how many seconds they will be running

to do this, you multiply 60 (sixty because there's sixty seconds in one minute) and 10 (ten because that's the given amount of minutes)

60 x 10 = 600 seconds

now to found out how much they will run in 10 minutes you will multiply 600 by 5

600 x 5 = 3000 yards

now to find how many laps this is, you can divide 3000 yards by 400 yards

3000 ÷ 400 = 7.5 laps

Answer:

-2/2

Step-by-step explanation:

I think the slope is -2/2 I hope I got this right, sorry if I got it wrong. Anyway, you solve this by plotting your two points, then doing rise over run (down 2 and over to the right).

Your welcome :D.

Answer:

Slope: -1

Step-by-step explanation:

( 3, -6) and (5, -8)

m= (y2-y1)/(x2-x1)

m = ( -8 + 6)/ (5-3)

m = (-2)/2

m = -1

Answer:

31.94

Step-by-step explanation:

Answer:

13.85.

Step-by-step explanation:

Answer:

❘-40 - 140❘

Step-by-step explanation:

Given that,

Franky’s SAT score was 140 points above the average score.

Francesca’s SAT score was 40 points below the average score.

We need to find the expression that represents the difference in their scores. It can be calculated as follows :

d = ❘-40 - 140❘

= -180

Hence, the correct option is (A) "❘-40 - 140❘".

Answer:

1). No, symbol won't be reversed

2.) No, symbol won't be reversed

3.) yes, symbol will be reversed

4.) No, symbol won't be reversed

Step-by-step explanation:

1.)

-10.5 < 3a

-10.5 /3 < 3a /3

-3.5 < 3 (No)

2.)

b/6 ≤ 7

Multiply both sides by 6

b/6 * 6 ≤ 7 * 6

b ≤ 42 (No)

3.)

-4.5c > 9

Dibide both sides by - 4.5

-4.5c / - 4.5 > 9/-4.5

c < 2 (yes)

4.)

–21/5 ≤ –5/2d

Multiply both sides by 2/5

-21/5 * 2/5 ≤ - 5/2d * 2/5

-21/2 ≤ - d

21/2 ≤ d (No)

Answer:

12r+8x+12

Step-by-step explanation:

3(4r-2)+8x+18

12r-6+8x+18

12r+8x-6+18

12r+8x+12

Answer:

2/x

Step-by-step explanation:

The easy way:

take point (2,1) on graph g

subst the values into g(x)=a/x

1=a/2

a=2

thus -> 2/x

The value of a is 2 for the transformed function g(x) = a/x.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of a is calculated as,

Take point (2,1) on graph g and substitute the values into g(x)=a/x

1=a/2

a=2

Therefore, the value of a is 2 for the transformed function g(x) = a/x.

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Answer:

Jamila need's 375g of butter

Step-by-step explanation:

12 biscuits , but she wants to make 36,

12x3 = 36 so times to rest of the ingredients by 3

250x3=750g Oats

125x3=375g Butter

100x3=300g Sugar

2x3= 6 tablespoons of syrup

Jamila needs 375 g of butter to make 36 biscuits.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If the recipe makes 12 biscuits and Jamila wants to make 36 biscuits, she needs to triple the recipe.

To triple the amount of butter, we can multiply 125 g by 3:

125 g x 3 = 375 g

Therefore,

Jamila needs 375 g of butter to make 36 biscuits.

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Answer:

a³-b³= (a-b)(a²+ab+ b²)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The model of the growth is:

Annual sales after 7 years: