Find the next three terms of the arithmetic sequence.

-14, -19, -24, . . .

Step-by-step explanation:

length of missing side = sqrt(5^2 + 12^2) = sqrt(169) = 13

distance = sqrt(50^2 +25^2) =sqrt(3125)= 55.90metres

Answer:

x = 5

Step-by-step explanation:

[tex]6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5[/tex]

Answer:

4, 13, 28, 49

Step-by-step explanation:

1st term = 3 × (1)² + 1 = 4

2nd term = 3 × (2)² + 1 = 13

3rd term = 3 × (3)² + 1 = 28

4th term = 3 × (4)² + 1 = 49

The first for terms of the series can be found by substituting the n for the term it is:

= 3(1)² + 1​ , 3(2)² + 1​ , 3(3)² + 1​ ,3(4)² + 1​

= 4, 13, 28, 49

Answer:

- 7x^2 + 3xy - 9y

Step-by-step explanation:

(2xy- 4x^2) - (9y + 3x^2 - xy)

Add the second polynomial:

Change all the signs in the second polynomial because it has a negative sign before the parentheses.

= 2xy - 4x^2 - 9y - 3x^2 + xy

Combine like terms:

(-4x^2 - 3x^2) + (2xy + xy) - 9y

= -7x^2 + 3xy - 9y

Answer:

k=50º

m=90º

Step-by-step explanation:

a line is 180º total

so 130+k=180

k=50

a triangle also is 180º total

so 180-40-k=m

180-40-50=m

90=m

Step-by-step explanation:

I am not sure but i think it is D or E (last 2 choices)

Sorry if wrong

Answer:

a) 5/4

b) y = 5/4x + 27

Step-by-step explanation:

To find the gradient of a line, simply change the equation into slope intercept form (y = mx + b), where b is the y-intercept and m is the slope.

4y - 5x = 2

4y = 5x + 2

y = 5/4x + 1/2

m(gradient) = 5/4

For lines to be parallel, simply keep the gradient the same.  Any line with a gradient, or slope, of 5/4 will be parallel. As such, simply keep the first two terms identical, and change the y-intercept into any number.

Hope it helps :)

Answer:

y = 150º

Step-by-step explanation:

The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:

2x + x + (x - 20) = 180

4x - 20 = 180

4x = 200

x = 50

x - 20 = 50 - 20

x - 20 = 30

y = 180 - 30

y = 150º

Answer:

1,234 thats the answer

Answer:

y = 2 · 3 x + 22

Step-by-step explanation:

Analysis: Number of female representatives in 1985 = 22

This can be represented by the point (0,22).

Number of representatives in 2005 = 68.

This can be represented by the point (2205-1985,68)

= (20,68)

Slope of the line : [tex]\frac{68-22}{20-0} =\frac{46}{20} =\frac{23}{10} =[/tex] 2 · 3

∴ Equation of the line :  y = mx + c

⇒ 22 = 2 · 3 (0) + c

⇒ C = 22

∴  y = 2 · 3 x + 22

Answer:

m=-3

Step-by-step explanation:

I just used the slope formula. Hope this helps! Also, I'm certain this is correct.

Answer:

[tex]f(x) = 2x + 5 \\ y = 2x + 5 \\ x = 2y + 5 \\ 2y = x - 5 \\ y = \frac{1}{2} x - \frac{5}{2} \\ y = {f}^{ - 1} (x) = \frac{x - 5}{2} [/tex]

Answer:

y=28

Step-by-step explanation:

15/21=20/y

15y=420

y=28

Hope this helps have a nice day!!!!

Answer: im pretty sure its 21 mi per gal

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

the reason it is 68 is because its a reflection on the other side which that line is there also represents the other side so it is 68.

Answer:

y = 1/2x + 4

Step-by-step explanation:

hope this helps

Answer:

x=8

Step-by-step explanation:

Answer:

  x = 8

Step-by-step explanation:

Undo what is done to x. We see that x is multiplied by 3 and then 2 added. We undo these steps in reverse order.

  3x +2 = 26 . . . . . . given

  3x = 24 . . . . . . . . . subtract 2 from both sides of the equation

  x = 8 . . . . . . . . . . . divide both sides of the equation by 3

Answer:

thx you so much

have a nice day

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Value of given variables are :

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The solution is in attachment ~

in the given parallelogram ABCD , find the value of x and y

Answer:

x = 36

y = 37

Answer:

The answer is Y = -3/5x +3 (I think)

Answer:

A

Step-by-step explanation:

Answer:

a) 39.71

Step-by-step explanation:

Answer:

m∠6 = 54°

Hope this helps!

Step-by-step explanation:

( 13x+9 ) and angle 4 are congruent meaning the same. That means angles 5 and 8 are also congruent to ( 13x + 9 ).

Angle 5 or angle 8 are Supplementary to angle ( 5x + 9 ) so a Supplementary angle is 180° and we need to find out x.  ( 13x + 9 ) + ( 5x + 9 ) = 18x + 18.

Because Supplementary angles equal 180°, 18x + 18 = 180

18x = 162        x = 162/18       x = 9

Because ∠6 is congruent to angle ( 5x + 9 ), ∠6 = ( 5(9) + 9 )

∠6 = 45 + 9        ∠6 = 54

Answer:

h^2+2ah

Step-by-step explanation:

When f(x) = 1-x^2

f(a) = 1 - a^2

f(a+h) = 1 - (a+h)^2

= 1 - a^2 + 2ah + h^2

Subtracting the two:

f(a+h) - f(a)

= (1 - a^2 + 2ah + h^2) - (1-a^2)

= 1 - 1 - a^2 + a^2 + 2ah + h^2

= 2ah + h^2

= h^2 + 2ah

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

$2.67

Step-by-step explanation:

$12.00 divided by 4.5 (aka four and a half) = 2.6666 = amount per pound

Round to the nearest cent. 2.666, that last six makes the six in the hundredths place round up to 7.

Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.

Let x represent the number of parent-teacher conference and y represent the school-related assembly.

Since Kiran earns $1008 for 36 paid events, hence:

x + y = 36    (1)

34x + 22y = 1008    (2)

Solving equations 1 and 2 simultaneously gives:

x = 18, y = 18

Therefore Kiran atttended 18 parent-teacher conferences and 18 school-related assemblies.

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Answer:

3 Blouses cost $450

Step-by-step explanation:

1,200 ÷ 8 = 150

150 x 3 = 450

Answer: $450

Step-by-step explanation:

First divide 1,200 by 8 (150) Then times that by 3 to get the answer