Find the distance between the two points in simplest radical form.
(4, -3) and (-1, -9)

Answer:

see explanation

Step-by-step explanation:

Both sequences have a common difference between consecutive terms, that is

2 - 1 = 3 - 2 = 4 - 3 = 1

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 1 , thus

[tex]a_{n}[/tex] = 1 + n - 1 = n

--------------------------------------------------------------------

Similarly

d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then

[tex]a_{n}[/tex] = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1

Answer:

1140

Step-by-step explanation:

because 4% equals 4 pounds × 10 equals 40% which equals 40 pounds and 100 times 10 equals 1000 plus the extra 100 pounds from the beginning

Answer:

5x - 14y + 16z + 2xy

Step-by-step explanation:

Given expressions:

        3x - 4y + 5z

         2x - 7y

         9z - 5y

         -2xy - 2y -2z

Solution:

 Sum of 3x - 4y + 5z

               2x - 7y

                9z - 5y

    =  3x - 4y + 5z + 2x - 7y +  9z - 5y

    = 3x + 2x - 4y - 7y -5y + 5z + 9z

     = 5x - 16y + 14z

Subtract  -2xy - 2y -2z

    = 5x - 16y + 14z - ( -2xy - 2y -2z )

    = 5x - 16y + 14z + 2xy + 2y + 2z

    = 5x - 16y + 2y + 14z + 2z + 2xy

   = 5x - 14y + 16z + 2xy

Answer:

6o×40=2400

area 1/4=2400÷4=600

area 1/6=600÷6=100

(d)=100 ft2

Answer with step-by-step explanation:

(4 x 2x) - (4 x 3) = 8x - 12

Hope this was helpful!

Answer: 8x + -12

Explanation: Let's simplify this problem using the distributive property.

The first thing we want to do is change the minus to plus a negative.

Now we can distribute or multiply this 4 times

each of the terms inside the set of parenthses.

So we get 4(2x) + 4(-3) and this simplifies to 8x + -12.

Note that if you wrote your answer as 8x - 12, it means the same thing.

Answer:

i feel like it's B. 3

Step-by-step explanation:

because if you like simplify the problem 3(m+n)-4=5 and then subtract 4 and add 4 to 5 the 5 becomes a 9. then if you divide 9 by 3 the answer would be 3

Answer:

A and D

Step-by-step explanation:

Parallel lines have same slope.

equations of a line that is parallel to the line with equation y = 2x + 1 are

[tex]y=2x-8 \; and \; -2x+y=2[/tex]

Options A  and D

Given :

The equation of a parallel line [tex]y=2x+1[/tex]

The given equation is in the form of y=mx+b

where m is the slope

Slope of parallel lines are same .

Slope of given line is 2.

Lets check whether the slope of all lines given in the options are equal to 2

[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]

Equations A  and D have same slope 2

equations of a line that is parallel to the line with equation y = 2x + 1 are

[tex]y=2x-8 \; and \; -2x+y=2[/tex]

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Answer:

10

Step-by-step explanation:

-2X+4

-2(-3)+4

6+4

10

Answer:

The length of C'D' = 2.8

This is because, ABCD  is rotated on the point R 55 degrees

So, now, if you turn back the rotation, you will get, that CD = C'D'

Now, CD = 2.8 , So, C'D' = 2.8

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

(

t

+

w

)

4

=

t

4

+

4

t

3

w

1

+

6

t

2

w

2

+

4

t

1

w

3

+

w

4

Explanation:

First, you should get to know Pascal's triangle. Here's a small portion of it up to 6 lines. Basically you're just adding the numbers that are beside each other, then writing the sum below them. (For example,  

1

+

2

in the third line equals to  

3

in the fourth line.) If you want a better explanation for that, feel free to do some more research on it.

Expansion of ( 4- 2z)³ using binomial expansion is equals to

64 - 96z + 48z² - 8z³.

" Binomial theorem is a way of expanding a binomial expression with exponent n, where n is any positive integer."

Formula used

Binomial Expansion

(a - b) ⁿ = ⁿC₀ aⁿb⁰+  ⁿC₁ aⁿ⁻¹ (-b)¹ +  ⁿC₂ aⁿ⁻² + ....... + (-1)ⁿ ⁿCₙ a° bⁿ

According to the question,

Given,

(4 -2z)³

a = 4

b = 2z

Substitute the value in the formula of binomial expansion we have,

= ³C₀ (4)³ (-2z)⁰ +³C₁ (4)² (-2z)¹ +³C₂ (4)¹ (-2z)² + ³C₃ (4)⁰ (-2z)³

=  (4)³ - 3 (4)² (2z) + 3 (4) (2z)² -(2z)³

= 64 -96z +48z² -8z³

Hence, expansion of ( 4- 2z)³ using binomial expansion is equals to

64 - 96z + 48z² - 8z³.

Learn more about binomial theorem here

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Answer:

-1/2 is the slope.

Step-by-step explanation:

y-3 = -1/2(x-2)

y-3 = -1/2x +1

y= -1/2x + 4

m= -1/2

Angel H and G are both are 51 degrees, and angle I is 78 degrees.

The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.

[tex]5x + 6 = 2x + 33[/tex]

[tex]3x = 27[/tex]

[tex]x = 9[/tex]

Plug in x for one equation:

[tex]5x + 6[/tex]

[tex]5(9) + 6[/tex]

[tex] = 51[/tex]

Therefore,

[tex]m < h = 51 \:[/tex]

and

[tex]m < g = 51[/tex]

And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:

[tex]180 - (51 + 51) = [/tex]

[tex]180 - 102 = [/tex]

[tex] = 78[/tex]

Answer:

x > 2

Step-by-step explanation:

Step 1: Write inequality

2x - (3 - x) > x + 1

Step 2: Solve for x

Here we see that any value x greater than 2 would work as a solution.

I don't know why doesn't have answers, but I know the answer 7/20.

Answer:-16r^7

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the ages be r and m

We have:

Substitute m in the second equation and solve for r:

Then m is

For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

The step 3 according to the question is,

4x = 32

Dividing both sides by 4,

x = 32/4

x = 8

Therefore, the final result will be x = 8.

To know more about arithmetic operation:

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Answer:

30 min

Step-by-step explanation:

So, how long does it take to kayak a mile? It takes about 30 minutes to kayak 1 mile on flat calm water. Obviously this number will depend on several factors: how much paddling experience you have, wind and wave conditions, and what type of kayak you’re paddling.

Answer:

✓{2-(-2)2+(4-1)2

✓16+9

✓25

5

Step-by-step explanation:

using this formula you may find

✓(x2-x1)2+(y2-y1)2

Answer:

(-2,1) and (2,4) = 5

(1,2) and (3,4) = 2.82

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.

Answer:

x=2

Step-by-step explanation:

- 1/2x+1=7x−14

Answer:

25

Step-by-step explanation:

5x(4+1)=

4+1=5

5x5=25

Answer:

The answer is A

Step-by-step explanation:

[tex] { (\frac{7}{2} )}^{8} = {7}^{8} \div {2}^{8} [/tex]

Answer:

a=bcd

Step-by-step explanation:

Answer:

a=bcd

Step-by-step explanation:

Let's solve for a.

a

dc

=b

Step 1: Multiply both sides by cd.

a=bcd

Answer:

a=bcd

Answer:

31cm².

Step-by-step explanation:

as we know that ,

area of Rhombus equal 1/2 of product of their diagonals .

product of the diagonals equal 6.2*10=62

1/2*62=31cm².