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antiseptic1488 [7]
3 years ago
12

The vertices of triangle PQR are P(10,-6), Q(6,2), & R(4,-1). Describe a translation that places the image of the triangle e

ntirely in quatrant 2

Mathematics
1 answer:
Gnoma [55]3 years ago
5 0

Answer:

Translate 7 units up and then translate 11 units to the left.

Step-by-step explanation:

We have the triangle PQR having co-ordinates (10,6), (6,2) and (4,-1).

It is required to translate ΔPQR so that the resulting image is completely inside the 2nd quadrant.

So, for that we will apply the following sequence of translations:

1. Translate 7 units up.

This will give us the figure in the 1st quadrant having co-ordinates (10,1), (6,9) and (4,6).

2. Translate 11 units to the left

We will get the final triangle P'Q'R' with the co-ordinates P'(-1,1), Q'(-5,9) and R'(-7,6) as shown below.

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nasty-shy [4]
If the radius of the sphere is doubled, the volume would quadruple. Think of the sphere as a cube instead and if you were to double the sides, the area would be 4xs bigger. Hope this helps! :)
6 0
3 years ago
910/14=? please solve.
Nookie1986 [14]

910 \div 14 = 65
3 0
3 years ago
Read 2 more answers
A 60 inch board is to be cut into three peices so that the second peice is four times as long as the first peice and the third p
Lostsunrise [7]

Answer:

The first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

Step-by-step explanation:

Since the second piece is 4 times longer than the first one, it will be represented by 4x.

The third piece is 5 times as long as the first one, so it will be represented by 5x.

Create an equation adding up the 3 x values up to 60:

x + 4x + 5x = 60

Add like terms and solve for x:

10x = 60

x = 6

So, the first piece is 6 inches.

Then, plug in 6 for x to find the lengths of the second and third pieces.

4x

4(6)

= 24

The second piece is 24 inches

5x

5(6)

= 30

The third piece is 30 inches

So, the first piece is 6 inches, the second piece is 24 inches, and the third piece is 30 inches

6 0
3 years ago
AFLATI 2 NUMERE STIIND CA AL DOILEA NUMAR ESTE DE 7 ORI MAI MARE DECITPRIMUL IAR SUMA DINTRE DUBLUL PRIMULUI NUMAR SI TRIPLUL CE
postnew [5]

Answer:

The numbers are 20 and 140

Step-by-step explanation:

<u><em>The question in English is</em></u>

Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460

Define the variables

Let

x ----> the first number

y ----> the second number

we know that

y=7x -----> equation A

2x+3y=460 ----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B

2x+3(7x)=460

solve for x

2x+21x=460

23x=460

x=20

<em>Find the value of y</em>

y=7x  ----> y=7(20)=140

The numbers are 20 and 140

6 0
3 years ago
What happens when warm air collides with cold air and is forced to rise over cold dome.
igor_vitrenko [27]

Answer:

Something to raise the moist air to form the clouds and cause precipitation. An example of lift is warm air colliding with cold air and being forced to rise over the cold dome. The boundary between the warm and cold air masses is called a front.

Step-by-step explanation:

6 0
3 years ago
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