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Dmitry [639]
3 years ago
9

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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Which of the following groups of numbers are all prime numbers? A. 3, 11, 23, 31 B. 2, 3, 5, 9 C. 2, 5, 15, 19 D. 7, 17, 29, 49
Mekhanik [1.2K]
A because 9 is not prime in answer B, 15 is not prime in answer C, and 49 is not prime in answer D. So the correct answer is A.
3 0
3 years ago
Read 2 more answers
Use elimination to solve the system of equations given by 3x - 2y = 10 and 5x + 2y = 6​
pishuonlain [190]

Answer:

x = -2  y= -8 and 8

Step-by-step explanation:

Since there is an equal number of y's, they cancel out when subtracting. You can put either equation on top. You will get same answer.

<u>To find x:</u>

<u>If you do (3x - 2y = 10) - (5x + 2y = 6​),</u> you will get -2x=4. Divide both sides by -2, and get x = -2.

<u>If you do (5x + 2y = 6​) - (3x - 2y = 10)</u>, you will get 2x=-4.Divide both sides by 2, and get x = -2.

<u>To find y:</u>

Substitute -2 for x in either equation. It doesn't matter.

<u>For 3(-2) - 2y = 10:</u>

3(-2) - 2y = 10 ––Multiply

-6 - 2y =10 ––Add 6 to both sides to get y alone

-2y = 16 ––Divide by -2

y = -8

<u>For 5x + 2y = 6​:</u>

5(-2) + 2y = 6​ ––Multiply

-10 + 2y = 6 ––Add 10 to both sides to get y alone

2y = 16 ––Divide by 2

y = 8

 

6 0
2 years ago
1) After a dilation, (-60, 15) is the image of (-12, 3). What are the coordinates of the image of (-2,-7) after the same dilatio
BARSIC [14]

Answer:

a) k = 5; (-10, -35)

Step-by-step explanation:

Given:

Co-ordinates:

Pre-Image = (-12,3)

After dilation

Image = (-60,15)

The dilation about the origin can be given as :

Pre-Image(x,y)\rightarrow Image(kx,ky)

where k represents the scalar factor.

We can find value of k for the given co-ordinates by finding the ratio of x or y co-ordinates of the image and pre-image.

k=\frac{Image}{Pre-Image}

For the given co-ordinates.

Pre-Image = (-12,3)

Image = (-60,15)

The value of k=\frac{-60}{-12}=5

or k=\frac{15}{3}=5

As we get k=5 for both ratios i.e of x and  y co-ordinates, so we can say the image has been dilated by a factor of 5 about the origin.

To find the image of (-2,-7), after same dilation, we will multiply the co-ordinates with the scalar factor.

Pre-Image(-2,-7)\rightarrow Image((-2\times5),(-7\times 5))

Pre-Image(-2,-7)\rightarrow Image(-10,-35) (Answer)

7 0
2 years ago
How do you do you solve this
belka [17]
7b^2 - 19b + 10
(b - 2)(7b - 5)

b1 = 2 ; b2 = 5/7
3 0
3 years ago
Read 2 more answers
At 6:00 the outside air temperature was 15°F. By 8:00 the temperature had dropped 9°F, and by 11:00 I had dropped another 12°. W
laila [671]

Answer:

- 6°F

Step-by-step explanation:

Given :

Temperature at 6:00 = 15°F

Temperature dropped by 9°F by 8:00

Temperature by 8:00 = 15°F - 9°F = 6°F

Temperature dropped another 12°F by 11:00

Hence, Temperature at 11:00 will be :

6°F - 12°F = - 6°F

Temperature at 11:00 = - 6°F

8 0
3 years ago
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