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3 years ago

What is the sum of the 12th square number and the 6th square number?

Mathematics

1 answer:

aleksklad [387]3 years ago

5 0

Answer:

180

Step-by-step explanation:

The 12 th square number is

12² = 12 × 12 = 144

The 6 th square number is

6² = 6 × 6 = 36

Thus

sum = 144 + 36 = 180

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Help please!!!!!!!!!!!!!

dedylja [7]

Answer:

position 1 5 8 12 19 25

term -8 8 20 36 64 88

Step-by-step explanation:

(n - 1) is position ( n ∈ N)

d is the distance between the numbers in the sequence

a1 is the first number in the sequence

we have the fuction: a(n) = a1 + (n - 1)d

see in the table, with position = 1, term = -8 => a1 + d = -8

position = 25, term = 88 => a1 + 25d = 88

=> we have: a1 + d = -8

a1 + 25d = 88

=> a1 = -12

d = 4

=> a(n) = -12 + 4(n - 1)

=> term = 8, position = (8 + 12)/4 = 5

position = 8, term = -12 + 4.8 = 20

term = 36, position = (36 + 12)/4 = 12

position = 19, term = -12 + 4.19 = 64

5 0

3 years ago

Read 2 more answers

: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slop

Ierofanga [76]

Answer:

slope: $\bold{m=3}$

equation: $\bold{y-2=3(x-1)}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=\dfrac{-1-2}{0-1}=\dfrac{-3}{-1}=3$

$y-y_1=m(x-x_1)$ - point-slope form of Equation of the Line

$x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)$

8 0

3 years ago

A car and a motorcycle leave the city at the same time and drive to a lake that is 120 km away. The speed of the motorcycle is 2

iris [78.8K]

Answer:

40 km/h and 60 km/h

Step-by-step explanation:

Let the speed of the car is x, then the speed of motorcycle is x + 20

The distance = 120 km

Time:

120/x = 120/(x + 20) + 1
120(x + 20) = 120x + x(x +20)
120x + 2400 = 120x + x² + 20x
x² + 20x = 2400
x² + 2*10x + 10² = 2500
(x + 10)² = 50²
x + 10 = 50
x = 40

Speed of the car is 40 km/h

Speed of the motorcycle is 60 km/h

3 0

3 years ago

Read 2 more answers

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

svetlana [45]

Answer:

B $(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)$

Step-by-step explanation:

Dilations

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B $\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}$

5 0

3 years ago

Plz help me!!with this!!

ikadub [295]

the surface area of that rectangular prism is 247.5.

7 0

3 years ago

What is the sum of the 12th square number and the 6th square number?​

What is the sum of the 12th square number and the 6th square number?